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Mott transition

About: Mott transition is a research topic. Over the lifetime, 2444 publications have been published within this topic receiving 78401 citations.


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TL;DR: In this article, the Mott transition and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling were investigated.
Abstract: We numerically investigated Mott transitions and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling. The mixing-demixing transition occurred in a qualitatively similar manner to incommensurate filling cases. We also found the Mott insulator phase appeared in both the mixing and the demixing states as the fermion-boson interaction or the boson-boson interaction increased. Phase diagrams were obtained in interaction parameter space.

10 citations

Journal ArticleDOI
Yao-Hua Chen1, Wei Wu1, Guo-cai Liu1, Hong-Shuai Tao1, Wu-Ming Liu1 
TL;DR: In this paper, the properties in different phases of cold atoms in optical lattices, such as density of states, Fermi surface and double occupancy, were studied by employing the new developed numerical methods called dynamical cluster approximation and cellular dynamical mean-field theory.
Abstract: We review our recent theoretical advances in phase transition of cold atoms in optical lattices, such as triangular lattice, honeycomb lattice, and Kagome lattice. By employing the new developed numerical methods called dynamical cluster approximation and cellular dynamical mean-field theory, the properties in different phases of cold atoms in optical lattices are studied, such as density of states, Fermi surface and double occupancy. On triangular lattice, a reentrant behavior of phase translation line between Fermi liquid state and pseudogap state is found due to the Kondo effect. We find the system undergoes a second order Mott transition from a metallic state into a Mott insulator state on honeycomb lattice and triangular Kagome lattice. The stability of quantum spin Hall phase towards interaction on honeycomb lattice with spin-orbital coupling is systematically discussed. And we investigate the transition from quantum spin Hall insulator to normal insulator in Kagome lattice which includes a nearest-neighbor intrinsic spin-orbit coupling and a trimerized Hamiltonian. In addition, we propose the experimental protocols to observe these phase transition of cold atoms in optical lattices.

10 citations

Journal ArticleDOI
TL;DR: In this article, measurements of the electrical conductivity σ performed at very low temperature on highly resistive ribbons of the i-Al-Pd-Re phase were discussed.
Abstract: We discuss measurements of the electrical conductivity σ performed at very low temperature on highly resistive ribbons of the i-Al–Pd–Re phase. Between 1 K and 20 mK, we observe a drop in σ, and the curvature gets stronger and stronger as T tends to zero. Below 20 mK, the samples show signs of insufficient thermalisation. This σ drop can be well described by Mott’s law σ(T)=σ 0 exp [−(T 0 /T) 1/4 ] but the extracted parameter T0 is quite different from other studies on i-Al–Pd–Re. We show that T0 strongly depends on the temperature range of the analysis. Here, the insulating character of the samples is determined using the divergence of the logarithmic derivative of σ, i.e. d ln σ(T)/ d ln (T) , at low temperature.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the exact diagonalization of the two-band Hubbard model with infinite dimensions was used to investigate the electronic states in the half-filled case, and the boundary separating the metallic and the insulating regimes was calculated as the function of the on-site repulsive interaction U and the charge-transfer energy Δ.

10 citations

01 Jan 2004
TL;DR: In this paper, the authors review the theoretical understanding of these effects, based on the dynamical mean field theory, and emphasize the key role played by the two energy scales associated with quasiparticle coherence scale and with the Mott gap.
Abstract: Strongly correlated metals close to the Mott transition display unusual transport regimes, together with large spectral weight transfers in optics and photoemission. We briefly review the theoretical understanding of these effects, based on the dynamical mean-field theory, and emphasize the key role played by the two energy scales associated with quasiparticle coherence scale and with the Mott gap. Recent experimental results on two-dimensional organic compounds and transition metal oxides are considered in this perspective. The liquid-gas critical behaviour at the Mott critical endpoint is also discussed. Transport calculations using the numerical renormalization group are presented.

10 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202271
202165
202064
201968
201871