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Showing papers in "Annalen der Physik in 2017"


Journal ArticleDOI
TL;DR: In this article, the ergodic phase of many-body localization (MBL) is considered and the available numerically exact and approximate methods for its study are discussed and a phenomenological explanation of its dynamical properties is presented.
Abstract: Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the entanglement entropy Here we review the dynamical properties of this phase and the available numerically exact and approximate methods for its study We discuss in which sense this phase could be considered ergodic and present possible phenomenological explanations of its dynamical properties We close by analyzing to which extent the proposed explanations were verified by numerical studies and present the open questions in this field

228 citations


Journal ArticleDOI
TL;DR: In this paper, the authors review the current status of the studies on the emergent integrability in many-body localized models and discuss the proposed numerical algorithms for the construction of local integrals of motions.
Abstract: We review the current (as of Fall 2016) status of the studies on the emergent integrability in many-body localized models. We start by explaining how the phenomenology of fully many-body localized systems can be recovered if one assumes the existence of a complete set of (quasi)local operators which commute with the Hamiltonian (local integrals of motions, or LIOMs). We describe the evolution of this idea from the initial conjecture, to the perturbative constructions, to the mathematical proof given for a disordered spin chain. We discuss the proposed numerical algorithms for the construction of LIOMs and the status of the debate on the existence and nature of such operators in systems with a many-body mobility edge, and in dimensions larger than one.

217 citations


Journal ArticleDOI
TL;DR: In this paper, a brief introduction to the rapidly evolving field of many-body localization is given, and a few directions where notable progress has been achieved in recent years are outlined.
Abstract: This article is a brief introduction to the rapidly evolving field of many-body localization. Rather than giving an in-depth review of the subject, our aspiration here is simply to introduce the problem and its general context, outlining a few directions where notable progress has been achieved in recent years. We hope that this will prepare the readers for the more specialized articles appearing in this dedicated Volume of Annalen der Physik, where these developments are discussed in more detail.

214 citations


Journal ArticleDOI
TL;DR: In this article, the authors numerically calculate various correlators in the random-field Heisenberg chain to detect the logarithmic light cone generated by a local perturbation from the response of a local operator at a later time.
Abstract: In many-body localized systems, propagation of information forms a light cone that grows logarithmically with time. However, local changes in energy or other conserved quantities typically spread only within a finite distance. Is it possible to detect the logarithmic light cone generated by a local perturbation from the response of a local operator at a later time? We numerically calculate various correlators in the random-field Heisenberg chain. While the equilibrium retarded correlator A(t = 0)B(t > 0) is not sensitive to the unbounded information propagation, the out-of-time-ordered correlator A(t = 0)B(t > 0)A(t = 0)B(t > 0) can detect the logarithmic light cone. We relate out-of-time-ordered correlators to the Lieb-Robinson bound in many-body localized systems, and show how to detect the logarithmic light cone with retarded correlators in specially designed states. Furthermore, we study the temperature dependence of the logarithmic light cone using out-of-time-ordered correlators.

207 citations


Journal ArticleDOI
TL;DR: In this article, the authors review recent progress in understanding rare-region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many-body localized phase.
Abstract: The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally “in the other phase”, i.e., rare localized regions in a system that is typically thermal, or rare thermal regions in a system that is typically localized. Rare localized regions affect the properties of the thermal phase, especially in one dimension, by acting as bottlenecks for transport and the growth of entanglement, whereas rare thermal regions in the localized phase act as local “baths” and dominate the low-frequency response of the MBL phase. We review recent progress in understanding these rare-region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many-body localized phase.

193 citations


Journal ArticleDOI
TL;DR: The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials as mentioned in this paper, focusing on viscous phenomena, Coulomb drag, non-local transport measurements, and possibilities for observing nonlinear effects.
Abstract: The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent advances, both theoretical and experimental, in the hydrodynamic approach to electronic transport in graphene, focusing on viscous phenomena, Coulomb drag, non-local transport measurements, and possibilities for observing nonlinear effects.

100 citations


Journal ArticleDOI
TL;DR: In this article, the electronic and optical properties of α- and β-allotropes of monolayer arsenene/antimonene were investigated by first-principle calculations.
Abstract: Recently a stable monolayer of antimony in buckled honeycomb structure called antimonene was successfully grown on 3D topological insulator Bi2Te3 and Sb2Te3, which displays novel semiconducting properties. By first-principle calculations, we systematically investigate the electronic and optical properties of α- and β-allotropes of monolayer arsenene/antimonene. The obtained electronic structures reveal that the direct band gap of α-arsenene/antimonene is much smaller than the indirect band gap of their β-counterpart, respectively. Significant absorption is observed in α-antimonene, which can be used as a broad saturable absorber. For β-arsenene/antimonene, the reflectivity is low and the absorption is negligible in the visible region when the polarization along the out-plane direction, indicating that β-arsenene/antimonene are polarizationally transparent materials.

99 citations


Journal ArticleDOI
He-Xiu Xu1, Shiwei Tang2, Xiaohui Ling1, Weijie Luo1, Lei Zhou1 
TL;DR: A novel planar multi-mode anisotropic meta-atom is designed by incorporating the screening effect of a surrounding wire loop to overcome the polarization cross-talking and paves the way to realize high-performance multifunctional optical devices with high integration and complex wavefront manipulations.
Abstract: Achieving flexible and highly directive emissions toward pre-designed directions has intrigued long-held interest in both science and engineering community, but most available efforts suffer the issues of bulky size, limited functionalities, and low efficiency. Here, we propose a general strategy to efficiently and flexibly control the emission beams with dual functionalities realized independently by orthogonal excitations. To overcome the polarization cross-talking, a novel planar multi-mode anisotropic meta-atom is designed by incorporating the screening effect of a surrounding wire loop. As the result, we can design the polarization-dependent phase profile under certain polarization, without worrying about their influences on the other polarization. As an illustration, two proof-of-concept metasurfaces are actualized at microwave frequencies, of which one combines the functionalities of focused-beam and large-angle multibeam emissions while another hybrids the functionalities of beam-steering and small-angle multibeam emissions. Theoretical, full-wave simulation, and experimental results are in excellent agreement with each other, which collectively demonstrate the desired performances of our bifunctional devices. Our proposed strategy paves the way to realize high-performance multifunctional optical devices with high integration and complex wavefront manipulations.

95 citations


Journal ArticleDOI
TL;DR: In this paper, the existence of extended nonergodic states in the intermediate region between the chaotic (thermal) and the many-body localized phases was identified through an extensive analysis of static and dynamical properties of a finite one-dimensional system with onsite random disorder.
Abstract: This work supports the existence of extended nonergodic states in the intermediate region between the chaotic (thermal) and the many-body localized phases. These states are identified through an extensive analysis of static and dynamical properties of a finite one-dimensional system with onsite random disorder. The long-time dynamics is particularly sensitive to changes in the spectrum and in the structures of the eigenstates. The study of the evolution of the survival probability, Shannon information entropy, and von Neumann entanglement entropy enables the distinction between the chaotic and the intermediate region.

78 citations


Journal ArticleDOI
TL;DR: In this article, a systematic procedure based on integrals of motion (IOMs) was developed to calculate many-body quantities and the decay with distance of the IOM's and their interactions through effective localization lengths.
Abstract: We study many-body localization (MBL) from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. We develop a systematic procedure based on IOM to calculate many-body quantities. Displacement transformations made clear that any operator can be expanded in 1-,2- ... n-particles terms. We use this property to develop a systematic procedure to approximately calculate IOMs and many-body quantities. We characterize the decay with distance of the IOM's and their interactions through effective localization lengths. For all values of disorder the typical IOMs are localized, suggesting the importance of rare fluctuations in understanding the MBL-to-ergodic transition.

77 citations


Journal ArticleDOI
TL;DR: In this article, the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems are discussed, and dynamical critical points (also known as eigenstate phase transitions) between different many-body localized (MBL) phases, and between MBL and thermal phases are discussed.
Abstract: We review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between different many-body localized (MBL) phases, and between MBL and thermal phases.

Journal ArticleDOI
TL;DR: In this article, a single-particle framework is proposed to characterize the transition between an ergodic and a many-body localized phase, with the transition occurring in the many body eigenstates.
Abstract: We study interacting fermions in one dimension subject to random, uncorrelated onsite disorder, a paradigmatic model of many-body localization (MBL). This model realizes an interaction-driven quantum phase transition between an ergodic and a many-body localized phase, with the transition occurring in the many-body eigenstates. We propose a single-particle framework to characterize these phases by the eigenstates (the natural orbitals) and the eigenvalues (the occupation spectrum) of the one-particle density matrix (OPDM) in individual many-body eigenstates. As a main result, we find that the natural orbitals are localized in the MBL phase, but delocalized in the ergodic phase. This qualitative change in these single-particle states is a many-body effect, since without interactions the single-particle energy eigenstates are all localized. The occupation spectrum in the ergodic phase is thermal in agreement with the eigenstate thermalization hypothesis, while in the MBL phase the occupations preserve a discontinuity at an emergent Fermi edge. This suggests that the MBL eigenstates are weakly dressed Slater determinants, with the eigenstates of the underlying Anderson problem as reference states. We discuss the statistical properties of the natural orbitals and of the occupation spectrum in the two phases and as the transition is approached. Our results are consistent with the existing picture of emergent integrability and localized integrals of motion, or quasiparticles, in the MBL phase. We emphasize the close analogy of the MBL phase to a zero-temperature Fermi liquid: in the studied model, the MBL phase is adiabatically connected to the Anderson insulator and the occupation-spectrum discontinuity directly indicates the presence of quasiparticles localized in real space. Finally, we show that the same picture emerges for interacting fermions in the presence of an experimentally-relevant bichromatic lattice and thereby demonstrate that our findings are not limited to a specific model.

Journal ArticleDOI
TL;DR: In this paper, the authors consider what happens when a many body localized system is coupled to a heat bath and identify limits where the effect of the bath can be captured by classical noise, and limits where it cannot.
Abstract: We consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on the bath is negligible. We identify limits where the effect of the bath can be captured by classical noise, and limits where it cannot. We also identify limits in which the bath delocalizes the system, as well as limits in which the system localizes the bath. Using general arguments and dimensional analysis, we constrain the overall phase diagram of the coupled system and bath. Our analysis incorporates all the previously discussed regimes, and also uncovers a new intrinsically quantum regime that has not hitherto been discussed. We discuss baths that are themselves near a localization transition, or are strongly disordered but protected against localization by symmetry or topology. We also discuss situations where the system and bath have different dimensionality (the case of ‘boundary MBL’ and ‘boundary baths’).

Journal ArticleDOI
TL;DR: In this paper, the authors show that the GW150914 signal was produced by the inspiral and subsequent merger of two black holes, each of approximately 35 Msun, still orbiting each other as close as 350 km apart and subsequently merged to form a single black hole.
Abstract: The first direct gravitational-wave detection was made by the Advanced Laser Interferometer Gravitational Wave Observatory on September 14, 2015. The GW150914 signal was strong enough to be apparent, without using any waveform model, in the filtered detector strain data. Here those features of the signal visible in these data are used, along with only such concepts from Newtonian and General Relativity as are accessible to anyone with a general physics background. The simple analysis presented here is consistent with the fully general-relativistic analyses published elsewhere, in showing that the signal was produced by the inspiral and subsequent merger of two black holes. The black holes were each of approximately 35 Msun, still orbited each other as close as 350 km apart and subsequently merged to form a single black hole. Similar reasoning, directly from the data, is used to roughly estimate how far these black holes were from the Earth, and the energy that they radiated in gravitational waves.

Journal ArticleDOI
TL;DR: In this paper, temperature-variable NMR relaxometry measurements using both laboratory and spin-lock techniques were used to probe Li jump rates covering a dynamic time window spanning several decades. And the results revealed a consistent picture of correlated Li ion jump diffusion in the single crystal; the data perfectly mirror a modified BPP type relaxation response being based on a Lorentzian-shaped relaxation function.
Abstract: The development of all-solid-state electrochemical energy storage systems, such as lithium-ion batteries with solid electrolytes, requires stable, electronically insulating compounds with exceptionally high ionic conductivities. Considering ceramic oxides, garnet-type Li7La3Zr2O12 and derivatives, see Zr-exchanged Li6La3ZrTaO12 (LLZTO), have attracted great attention due to its high Li+ ionic conductivity of 10−3 S cm−1 at ambient temperature. Despite numerous studies focussing on conductivities of powder samples, only few use time-domain NMR methods to probe Li ion diffusion parameters in single crystals. Here we report on temperature-variable NMR relaxometry measurements using both laboratory and spin-lock techniques to probe Li jump rates covering a dynamic time window spanning several decades. Both techniques revealed a consistent picture of correlated Li ion jump diffusion in the single crystal; the data perfectly mirror a modified BPP-type relaxation response being based on a Lorentzian-shaped relaxation function. The rates measured could be parameterized with a single set of diffusion parameters. Results from NMR are completely in line with ion transport parameters derived from conductivity spectroscopy.

Journal ArticleDOI
TL;DR: In this paper, the authors proposed a real physical system, the honeycomb lattice, as a possible realization of the fractional Schrodinger equation (FSE) system, through utilization of the Dirac-Weyl equation (DWE).
Abstract: We suggest a real physical system — the honeycomb lattice — as a possible realization of the fractional Schrodinger equation (FSE) system, through utilization of the Dirac-Weyl equation (DWE). The fractional Laplacian in FSE causes modulation of the dispersion relation of the system, which becomes linear in the limiting case. In the honeycomb lattice, the dispersion relation is already linear around the Dirac point, suggesting a possible connection with the FSE, since both models can be reduced to the one described by the DWE. Thus, we propagate Gaussian beams in three ways: according to FSE, honeycomb lattice around the Dirac point, and DWE, to discover universal behavior — the conical diffraction. However, if an additional potential is brought into the system, the similarity in behavior is broken, because the added potential serves as a perturbation that breaks the translational periodicity of honeycomb lattice and destroys Dirac cones in the dispersion relation.

Journal ArticleDOI
TL;DR: In this paper, the authors calculate the penetration depth from the temperature dependence of the superconducting energy gap and fit self-field critical current data to 79 available data sets, from zinc nanowires to compressed sulphur hydride with critical temperatures of 0.65 to 203 K, respectively.
Abstract: Key questions for any superconductor include: what is its maximum dissipation-free electrical current (its ‘critical current') and can this be used to extract fundamental thermodynamic parameters? Present models focus on depinning of magnetic vortices and implicate materials engineering to maximise pinning performance. But recently we showed that the self-field critical current for thin films is a universal property, independent of microstructure, controlled only by the penetration depth. Here, using an extended BCS-like model, we calculate the penetration depth from the temperature dependence of the superconducting energy gap thus allowing us to fit self-field critical current data. In this way we extract from the T-dependent gap a set of key thermodynamic parameters, the ground-state penetration depth, energy gap and jump in electronic specific heat. Our fits to 79 available data sets, from zinc nanowires to compressed sulphur hydride with critical temperatures of 0.65 to 203 K, respectively, are excellent and the extracted parameters agree well with reported bulk values. Samples include thin films, wires or nanowires of single- or multi-band s-wave and d-wave superconductors of either type I or type II. For multiband or multiphase samples we accurately recover individual band contributions and phase fractions.

Journal ArticleDOI
TL;DR: This work uses molecular dynamics simulation to study a liquid composed of polymer-grafted nanoparticles (GNP), which exhibit a reversible self-assembly into dynamic polymeric GNP structures below a temperature threshold, suggesting a liquid-gel transition.
Abstract: The properties of materials largely reflect the degree and character of the localization of the molecules comprising them so that the study and characterization of particle localization has central significance in both fundamental science and material design. Soft materials are often comprised of deformable molecules and many of their unique properties derive from the distinct nature of particle localization. We study localization in a model material composed of soft particles, hard nanoparticles with grafted layers of polymers, where the molecular characteristics of the grafted layers allow us to "tune" the softness of their interactions. Soft particles are particular interesting because spatial localization can occur such that density fluctuations on large length scales are suppressed, while the material is disordered at intermediate length scales; such materials are called "disordered hyperuniform". We use molecular dynamics simulation to study a liquid composed of polymer-grafted nanoparticles (GNP), which exhibit a reversible self-assembly into dynamic polymeric GNP structures below a temperature threshold, suggesting a liquid-gel transition. We calculate a number of spatial and temporal correlations and we find a significant suppression of density fluctuations upon cooling at large length scales, making these materials promising for the practical fabrication of "hyperuniform" materials.


Journal ArticleDOI
TL;DR: A review of recent theoretical results concerning the many-body localization (MBL) phenomenon, with the emphasis on dynamical density correlations and transport quantities, is presented in this paper.
Abstract: We present a review of recent theoretical results concerning the many-body localization (MBL) phenomenon, with the emphasis on dynamical density correlations and transport quantities. They are shown to be closely related, providing a comprehensive description of the ergodic-to-nonergodic transition, consistent with experimental findings. While the focus is set mostly on the one-dimensional model of interacting spinless fermions, we also present evidence for the absence of full MBL in the one-dimensional Hubbard model and for the density-wave decay induced by the inter-chain coupling.


Journal ArticleDOI
TL;DR: In this paper, the ground-state London penetration depth and superconducting energy gap were determined using the magnetisation critical current, and it was shown that these parameters are similar to those of cuprate superconductors.
Abstract: Recently, compressed H$_2$S has been shown to become superconducting at 203 K under a pressure of 155 GPa. One might expect fluctuations to dominate at such temperatures. Using the magnetisation critical current, we determine the ground-state London penetration depth, $\lambda_0$=189 nm, and the superconducting energy gap, $\Delta_0$=27.8 meV, and find these parameters are similar to those of cuprate superconductors. We also determine the fluctuation temperature scale, $T_{\textrm{fluc}}=1470$ K, which shows that, unlike the cuprates, $T_c$ of the hydride is not limited by fluctuations. This is due to its three dimensionality and suggests the search for better superconductors should refocus on three-dimensional systems where the inevitable thermal fluctuations are less likely to reduce the observed $T_c$.

Journal ArticleDOI
TL;DR: In this paper, the theory for pump/probe photoemission spectroscopy of electron-phonon mediated superconductors in both the normal and the superconducting states is reviewed.
Abstract: We review recent work on the theory for pump/probe photoemission spectroscopy of electron-phonon mediated superconductors in both the normal and the superconducting states. We describe the formal developments that allow one to solve the Migdal-Eliashberg theory in nonequilibrium for an ultrashort laser pumping field, and explore the solutions which illustrate the relaxation as energy is transferred from electrons to phonons. We focus on exact results emanating from sum rules and approximate numerical results which describe rules of thumb for relaxation processes. In addition, in the superconducting state, we describe how Anderson-Higgs oscillations can be excited due to the nonlinear coupling with the electric field and describe mechanisms where pumping the system enhances superconductivity.

Journal ArticleDOI
TL;DR: In this article, the authors summarize recent advances in the synthesis of 1D wires, 2D single-layers and thin films of graphdiyne-related carbon materials at interfaces and their potential applications in nanotechnology.
Abstract: In solution-based chemistry butadiyne linkage through the homocoupling reaction of alkynes is a versatile tool for the synthesis of π-conjugated polymers, scaffolds and networks. To date this strategy was actively implemented towards chemical synthesis at interfaces. In this review paper we summarize recent advances in the syntheses of 1D wires, 2D single-layers and thin films of graphdiyne-related carbon materials at interfaces and their potential applications in nanotechnology. With a high degree of π-conjunction, uniformly distributed pores and tunable electronic properties such 2D all-carbon networks with butadiyne linkages also known as ‘graphdiynes’ have been successfully employed in the field-effected emission devices, solar cells, for Li ion storage and oil water separation, and as catalysis or chemical sensors.

Journal ArticleDOI
TL;DR: In this article, the role of spectral diffusion in the problem of many-body delocalization in quantum dots and in extended systems was analyzed, and it was shown that spectral diffusion parametrically enhances delocalisation and modifies the scaling of the threshold with the interaction coupling constant.
Abstract: We analyze the role of spectral diffusion in the problem of many-body delocalization in quantum dots and in extended systems. The spectral diffusion parametrically enhances delocalization, modifying the scaling of the delocalization threshold with the interaction coupling constant.

Journal ArticleDOI
TL;DR: In this paper, the plasmonic nonhomogeneous field, generated by the surface polaritons in the bowtie-shaped nanostructure, has been theoretically investigated through solving the two dimensional time-dependent Schrodinger equation with the Non-Bohn-Oppenheimer approximation.
Abstract: Electron (z)-nuclear (R) dynamics in the molecular high-order harmonic generation (MHHG) from H2+ driven by the plasmonic nonhomogeneous field, generated by the surface plasmon polaritons in the bowtie-shaped nanostructure, have been theoretically investigated through solving the two dimensional time-dependent Schrodinger equation with the Non-Bohn-Oppenheimer approximation. It is found that (i) due to the plasmonic enhancement of the laser intensity, the harmonic cutoff can be extended when the spatial position of H2+ is away from the gap center of the nanostructure. However, due to the limit of the gap size, the threshold value of the harmonic cutoff can be obtained at a given position of H2+. (ii) Due to the asymmetric enhancement of the laser intensity in space, the extended higher harmonics are respectively from E(t) > 0 a.u. or E(t) 0 a.u., the intensities of the harmonics from the negative-H is higher than those from the positive-H; while when E(t) < 0 a.u., the intensities of the harmonics from the positive-H plays the main role in the MHHG. Moreover, the multi-minima, caused by the two-center interference can also be found. (v) Finally, by superposing a properly selected harmonics, a single isolated attosecond pulse (SIAP) with the full width at half maximum (FWHM) of 34 as can be obtained.

Journal ArticleDOI
TL;DR: In this paper, a model of nonlinear electrodynamics with two parameters coupled with general relativity was investigated, and the asymptotic of the metric and mass functions at r→∞ and r→0, and corrections to the Reissner-Nordstrom solution were found.
Abstract: A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at r→∞ and r→0, and corrections to the Reissner-Nordstrom solution are found. We investigate thermodynamics of black holes and calculate the Hawking temperature and heat capacity of black holes. It is shown that there are phase transitions and at some parameters of the model black holes are stable.

Journal ArticleDOI
TL;DR: In this article, the suitability of graphene nanoribbons devices for nanoelectronics was discussed and three specific device types were discussed: MOSFETs, side-gate transistors, and three terminal junctions.
Abstract: Graphene nanoribbons show unique properties and have attracted a lot of attention in the recent past. Intensive theoretical and experimental studies on such nanostructures at both the fundamental and application-oriented levels have been performed. The present paper discusses the suitability of graphene nanoribbons devices for nanoelectronics and focuses on three specific device types – graphene nanoribbon MOSFETs, side-gate transistors, and three terminal junctions. It is shown that, on the one hand, experimental devices of each type of the three nanoribbon-based structures have been reported, that promising performance of these devices has been demonstrated and/or predicted, and that in part they possess functionalities not attainable with conventional semiconductor devices. On the other hand, it is emphasized that – in spite of the remarkable progress achieved during the past 10 years – graphene nanoribbon devices still face a lot of problems and that their prospects for future applications remain unclear.

Journal ArticleDOI
TL;DR: In this article, the fabrication and characterization of edge contacts to large area CVD-grown monolayer graphene by means of optical lithography using CMOS compatible metals, i.e., Nickel and Aluminum is reported.
Abstract: The exploitation of the excellent intrinsic electronic properties of graphene for device applications is hampered by a large contact resistance between the metal and graphene. The formation of edge contacts rather than top contacts is one of the most promising solutions for realizing low ohmic contacts. In this paper the fabrication and characterization of edge contacts to large area CVD-grown monolayer graphene by means of optical lithography using CMOS compatible metals, i.e. Nickel and Aluminum is reported. Extraction of the contact resistance by Transfer Line Method (TLM) as well as the direct measurement using Kelvin Probe Force Microscopy demonstrates a very low width specific contact resistance down to 130 Ωμm. The contact resistance is found to be stable for annealing temperatures up to 150°C enabling further device processing. Using this contact scheme for edge contacts, a field effect transistor based on CVD graphene with a high transconductance of 0.63 mS/μm at 1 V bias voltage is fabricated.

Journal ArticleDOI
TL;DR: In this paper, the authors introduce time disorder in the measurement sequence, and analytically investigate how this temporal stochasticity may affect the confinement probability of the system in the subspace.
Abstract: Quantum measurements play a crucial role in quantum mechanics since they perturb, unavoidably and irreversibly, the state of the measured quantum system. More extremely, the constant observation of a quantum system can even freeze its dynamics to a subspace, effectively truncating the Hilbert space of the system. It represents the quantum version of the famous flying arrow Zeno paradox, and is called quantum Zeno dynamics. In general, it can be obtained by applying frequent consecutive quantum measurements that are equally spaced in time. Here, we introduce time disorder in the measurement sequence, and analytically investigate how this temporal stochasticity may affect the confinement probability of the system in the subspace. As main result, we then exploit how different dissipative and coherent Zeno protocols can be generalized to this stochastic scenario. Finally, our analytical predictions are numerically tested on a paradigmatic spin chain where we find a trade-off between a probabilistic scheme with high fidelity (compared to perfect subspace dynamics) and a deterministic one with a slightly lower fidelity, moving further steps towards new schemes of Zeno-based control for future quantum technologies.