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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 authors investigated the interacting Dirac fermions on honeycomb lattice by cluster dynamical mean field theory (DMFT) combined with continuous-time quantum Monte Carlo simulation and found that for weak interaction, the system is semimetal and the Fermi velocity keeps constant.
Abstract: We investigate the interacting Dirac fermions on honeycomb lattice by cluster dynamical mean-field theory (DMFT) combined with continuous-time quantum Monte Carlo simulation. A novel scenario for the semimetal-Mott insulator transition of the interacting Dirac fermions is found beyond the previous DMFT studies. Our results suggest that for weak interaction, the system is semimetal and the Fermi velocity keeps constant. The system undergoes a second-order Mott transition with increasing the interaction strength. We demonstrate that the nonlocal spatial correlations play a vital role in the Mott transition on the honeycomb lattice. A phase diagram of Mott transition is presented. We also elaborate the experimental protocol to observe this phase transition by the ultracold atoms on optical honeycomb lattice.
67 citations
TL;DR: In this article, a new model suggests that metal-insulator transitions in dilute 2D electron gases arise from strong correlations driven by non-local Coulomb interactions, providing an alternative view to that which considers disorder to be the over-riding influence.
Abstract: Evidence for metal–insulator transitions in dilute 2D electron gases has sparked controversy and debate. A new model suggests such behaviour could arise from strong correlations driven by non-local Coulomb interactions, providing an alternative view to that which considers disorder to be the over-riding influence.
67 citations
TL;DR: In this article, the correlation-induced Mott, magnetic, and topological phase transitions in artificial bilayers of perovskite transition-metal oxides were investigated, and a topological-insulating state is robust.
Abstract: We investigate the correlation-induced Mott, magnetic, and topological phase transitions in artificial (111) bilayers of perovskite transition-metal oxides $\mathrm{La}\mathrm{Au}{\mathrm{O}}_{3}$ and $\mathrm{Sr}\mathrm{Ir}{\mathrm{O}}_{3}$ for which the previous density-functional theory calculations predicted topological insulating states Using the dynamical-mean-field theory with realistic band structures and Coulomb interactions, $\mathrm{La}\mathrm{Au}{\mathrm{O}}_{3}$ bilayer is shown to be far away from a Mott insulating regime, and a topological-insulating state is robust On the other hand, $\mathrm{Sr}\mathrm{Ir}{\mathrm{O}}_{3}$ bilayer is on the verge of an orbital-selective topological Mott transition and turns to a trivial insulator by an antiferromagnetic ordering Oxide bilayers thus provide a novel class of topological materials for which the interplay between the spin-orbit coupling and electron-electron interactions is a fundamental ingredient
67 citations
TL;DR: It is shown that for the doped Mott insulator regime, the coexistence dome and the associated first-order Mott metal-insulator transition are confined to extremely low temperatures, while clear signatures of Mott quantum criticality emerge across much of the phase diagram.
Abstract: Bad-metal (BM) behavior featuring linear temperature dependence of the resistivity extending to well above the Mott-Ioffe-Regel (MIR) limit is often viewed as one of the key unresolved signatures of strong correlation. Here we associate the BM behavior with the Mott quantum criticality by examining a fully frustrated Hubbard model where all long-range magnetic orders are suppressed, and the Mott problem can be rigorously solved through dynamical mean-field theory. We show that for the doped Mott insulator regime, the coexistence dome and the associated first-order Mott metal-insulator transition are confined to extremely low temperatures, while clear signatures of Mott quantum criticality emerge across much of the phase diagram. Remarkable scaling behavior is identified for the entire family of resistivity curves, with a quantum critical region covering the entire BM regime, providing not only insight, but also quantitative understanding around the MIR limit, in agreement with the available experiments.
67 citations
TL;DR: It is predicted that iron-based superconductors discovered near d(6) configuration is located on the foot of an unexpectedly large dome of correlated electron matter centered at the Mott insulator at d(5) (namely, half filling), based on the many-variable variational Monte Carlo results for ab initio low-energy models derived by the downfolding.
Abstract: We predict that iron-based superconductors discovered near ${d}^{6}$ configuration (5 Fe $3d$ orbitals filled by 6 electrons) is located on the foot of an unexpectedly large dome of correlated electron matter centered at the Mott insulator at ${d}^{5}$ (namely, half filling). This is based on the many-variable variational Monte Carlo results for ab initio low-energy models derived by the downfolding. The ${d}^{5}$ Mott proximity extends to subsequent emergence of incoherent metals, orbital differentiations due to the Mott physics, and Hund's rule coupling, followed by antiferromagnetic quantum criticality, in quantitative accordance with available experiments.
67 citations