Atomically controlled quantum chains hosting a Tomonaga-Luttinger liquid
C. Blumenstein,J. Schäfer,S. Mietke,S. Meyer,A. Dollinger,M. Lochner,M. Lochner,Xiaoyu Cui,L. Patthey,René Matzdorf,Ralph Claessen +10 more
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The Tomonaga-Luttinger liquid model is the leading candidate for describing one-dimensional metallic conductors at low temperature as discussed by the authors, but experimental evidence that it is valid is sketchy.Abstract:
The Tomonaga–Luttinger liquid model is the leading candidate for describing one-dimensional metallic conductors at low temperature. Yet, experimental evidence that it is valid is sketchy. Scanning tunnelling and photoemission spectra suggest that it does, in fact, describe the behaviour of chains of gold atoms self-assembled on the surface of germanium.read more
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Fermi gases in one dimension: From Bethe ansatz to experiments
TL;DR: In this paper, theoretical and experimental developments for one-dimensional Fermi gases are discussed. But the exact results obtained for Bethe ansatz integrable models of this kind enable the study of the nature and microscopic origin of a wide range of quantum many-body phenomena driven by spin population imbalance, dynamical interactions, and magnetic fields.
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One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
TL;DR: In this article, the Luttinger liquid theory has been used for the description of one-dimensional (1D) quantum fluids beyond the low-energy limit, where the nonlinearity of the dispersion relation becomes essential.
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Heat transport through atomic contacts
Nico Mosso,Ute Drechsler,Fabian Menges,Peter N. Nirmalraj,Siegfried Karg,Heike Riel,Bernd Gotsmann +6 more
TL;DR: Simultaneous measurements of charge and heat transport reveal the proportionality of electrical and thermal conductance, quantized with the respective conductance quanta, which constitutes a verification of the Wiedemann-Franz law at the atomic scale.
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Tomonaga–Luttinger physics in electronic quantum circuits
Sébastien Jezouin,Mathias Albert,François Parmentier,A. Anthore,Ulf Gennser,Antonella Cavanna,Inès Safi,F. Pierre +7 more
TL;DR: This work reformulates and establishes experimentally a recently derived phenomenological expression for the conductance using a wide range of circuits, including carbon nanotube data obtained elsewhere, and demonstrates the predicted mapping between dynamical Coulomb blockade and the transport across a Tomonaga–Luttinger liquid with an impurity.
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Anyonic quantum spin chains: Spin-1 generalizations and topological stability
C. Gils,Eddy Ardonne,Eddy Ardonne,Simon Trebst,Simon Trebst,David A. Huse,Andreas W. W. Ludwig,Matthias Troyer,Zhenghan Wang +8 more
TL;DR: In this paper, the same authors considered a generalization of the Haldane phase diagram to anyonic spin $S=1$ spin chains and showed that the overall phase diagrams of these spin-1 chains closely mirror the phase diagram of the ordinary bilinear-biquadratic spin 1 chain.
References
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Quantum physics in one dimension
TL;DR: In this paper, the Sine-Gordon F.1. Peculiarities of d = 1 2. Bosonization 3. Luttinger liquids 4. Refinements 5. Microscopic methods 6. Spin 1/2 chains 7. Interacting fermions on a lattice 8. Coupled fermionic chains 9. Disordered systems 10. Boundaries and isolated impurities 11.
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'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
TL;DR: The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called "LUTtinger liquid theory" as mentioned in this paper.
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Luttinger-liquid behaviour in carbon nanotubes
Marc Bockrath,David Cobden,Jia Lu,Andrew G. Rinzler,Richard E. Smalley,Leon Balents,Paul L. McEuen +6 more
TL;DR: In this article, the authors present measurements of the conductance of single-walled carbon nanotubes (SWNTs) as a function of temperature and voltage that agree with predictions for tunnelling into a Luttinger liquid.
Luttinger liquid theory of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
TL;DR: The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called "LUTtinger liquid theory".
Journal ArticleDOI
Luttinger Liquid Behavior in Carbon Nanotubes
Marc Bockrath,David Cobden,Jia Grace Lu,Andrew G. Rinzler,Richard E. Smalley,Leon Balents,Paul L. McEuen +6 more
TL;DR: In this article, the conductance of individual ropes of carbon nanotubes (SWNTs) as a function of temperature and bias voltage was measured and the power-law functional forms and the inferred exponents were in good agreement with theoretical predictions for tunneling into a Luttinger liquid.