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The Mott transition is a paradigmatic phenomenon where Coulomb interactions between electrons drive a metal-insulator phase transition. It is extensively studied within the Hubbard model, where a quantum critical transition occurs at a…

Strongly Correlated Electrons · Physics 2025-10-20 Ankur Majumder , Sudeshna Sen

The correlation-driven metal-insulator (Mott) transition at a solid surface is studied within the Hubbard model for a semi-infinite lattice by means of the dynamical mean-field theory. The transition takes place at a unique critical…

Strongly Correlated Electrons · Physics 2009-10-31 M. Potthoff , W. Nolting

Within the framework of a mean-field approach the Mott-Hubbard phase transition is considered in the Hubbard and Falicov-Kimball models for half-filled occupation. It is shown that a static Z_2-field forms an insulator state on the lattice…

Strongly Correlated Electrons · Physics 2022-05-25 Igor N. Karnaukhov

We develop a theory for a continuous bandwidth-tuned transition at fixed \textit{fractional} electron filling from a metal with a generic Fermi surface to a `Wigner-Mott' insulator that spontaneously breaks crystalline space-group…

Strongly Correlated Electrons · Physics 2022-10-26 Seth Musser , T. Senthil , Debanjan Chowdhury

Mott physics is characterized by an interaction-driven metal-to-insulator transition in a partially filled band. In the resulting insulating state, antiferromagnetic orders of the local moments typically develop, but in rare situations no…

One of the early triumphs of quantum physics is the explanation why some materials are metallic whereas others are insulating. While a treatment based on single electron states correctly predicts the character of most materials this…

Strongly Correlated Electrons · Physics 2015-09-02 S. Friedemann , H. Chang , M. B. Gamża , P. Reiss , X. Chen , P. Alireza , W. A. Coniglio , D. Graf , S. Tozer , F. M. Grosche

Metal-insulator transitions involve a mix of charge, spin, and structural degrees of freedom, and when strongly-correlated, can underlay the emergence of exotic quantum states. Mott insulators induced by the opening of a Coulomb gap are an…

Strongly Correlated Electrons · Physics 2021-05-14 Yejun Feng , Yishu Wang , D. M. Silevitch , S. E. Cooper , D. Mandrus , Patrick A. Lee , T. F. Rosenbaum

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

Electrons can organize themselves into charge-ordered states to minimize the effects of long-ranged Coulomb interactions. In the presence of a lattice, commensurability constraints lead to the emergence of incompressible Wigner-Mott…

Strongly Correlated Electrons · Physics 2024-12-31 Thomas G. Kiely , Debanjan Chowdhury

We investigate paramagnetic metal-insulator transitions in the infinite-dimensional ionic Hubbard model at finite temperatures. By means of the dynamical mean-field theory with an impurity solver of the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2014-05-20 Aaram J. Kim , M. Y. Choi , Gun Sang Jeon

An analytical solution of the Mott transition is obtained for the Hubbard model on the Bethe lattice in the large coordination number ($z$) limit. The excitonic binding of doublons (doubly occupied sites) and holons (empty sites) is shown…

Strongly Correlated Electrons · Physics 2016-12-15 Sen Zhou , Long Liang , Ziqiang Wang

We investigate the metal-to-insulator phase transition driven by the density-density electronic interaction in the quarter-filled model on a cubic lattice with two orbitals split by a crystal field. We show that a systematic consideration…

Strongly Correlated Electrons · Physics 2023-05-30 M. Vandelli , J. Kaufmann , V. Harkov , A. I. Lichtenstein , K. Held , E. A. Stepanov

It has been reported that upon doping a Mott insulator, there can be a crossover to a pseudogaped metallic phase followed by a first-order transition to another thermodynamically stable metallic phase. We call this first-order metal-metal…

Strongly Correlated Electrons · Physics 2024-09-16 P. -O. Downey , O. Gingras , C. -D. Hébert , M. Charlebois , A. -M. S. Tremblay

We propose a cold-atom setup which allows for a dimensional crossover from a two-dimensional quantum spin Hall insulating phase to a three-dimensional strong topological insulator by tuning the hopping between the layers. We further show…

Quantum Gases · Physics 2015-02-18 Mathias S. Scheurer , Stephan Rachel , Peter P. Orth

The quest for entangled spin excitations has stimulated intense research on frustrated magnetic systems. For almost two decades, the triangular-lattice Mott insulator $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$ has been the hottest candidate for…

Strongly Correlated Electrons · Physics 2023-06-06 A. Pustogow , Y. Kawasugi , H. Sakurakoji , N. Tajima

We investigate the metal-insulator transition in the half-filled Hubbard model on a two-dimensional triangular lattice using both the Kotliar-Ruckenstein slave-boson technique, and exact numerical diagonalization of finite clusters.…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Luca Capriotti , Federico Becca , Sergio Caprara

We consider a minimal model to investigate the metal-insulator transition in VO$_2$. We adopt a Hubbard model with two orbital per unit cell, which captures the competition between Mott and singlet-dimer localization. We solve the model…

Strongly Correlated Electrons · Physics 2017-01-12 Óscar Nájera , Marcello Civelli , Vladimir Dobrosavljević , Marcelo J. Rozenberg

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro

For doped two-dimensional Mott insulators in their normal state, the challenge is to understand the evolution from a conventional metal at high doping to a strongly correlated metal near the Mott insulator at zero doping. To this end, we…

Strongly Correlated Electrons · Physics 2011-08-31 G. Sordi , K. Haule , A. -M. S. Tremblay

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et…

Strongly Correlated Electrons · Physics 2020-05-13 Grigory Tarnopolsky , Chenyuan Li , Darshan G. Joshi , Subir Sachdev