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$VO_2$ undergoes the insulator-metal transition (IMT) and monoclinic-rutile structural phase transition (SPT) near $67^oC$. The IMT switching has many applications. However, there is an unresolved issue whether the IMT is a Mott transition…

Strongly Correlated Electrons · Physics 2021-01-18 Chang-Yong Kim , Tetiana Slusar , Jinchul Cho , Hyun-Tak Kim

We analyze the developing of bipartite and multipartite entanglement through the Mott-Insulator - Superfluid quantum phase transition. Starting from a Mott insulator state, where a filling factor $\nu = N/M = 1$ per lattice site is…

Quantum Physics · Physics 2008-12-24 R. J. Costa Farias , M. C. de Oliveira

We investigate metal-insulator transitions in the Holstein-Hubbard model as a function of the on-site electron-electron interaction U and the electron-phonon coupling g. We use several different numerical methods to calculate the phase…

Strongly Correlated Electrons · Physics 2007-05-23 W. Koller , D. Meyer , Y. Ono , A. C. Hewson

Most Mott systems display a low-temperature phase coexistence region around the metal-insulator transition. The domain walls separating the respective phases have very recently been observed both in simulations and in experiments,…

Strongly Correlated Electrons · Physics 2022-10-05 Tsung-Han Lee , J. Vučičević , D. Tanasković , E. Miranda , V. Dobrosavljević

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trapped in one-dimensional optical superlattice systems. The…

Quantum Gases · Physics 2013-07-22 Zhihao Xu , Shu Chen

The phase diagrams of quasi two-dimensional organic superconductors display a plethora of fundamental phenomena associated with strong electron correlations, such as unconventional superconductivity, metal-insulator transitions, frustrated…

Strongly Correlated Electrons · Physics 2024-10-01 Henri Menke , Marcel Klett , Kazushi Kanoda , Antoine Georges , Michel Ferrero , Thomas Schäfer

An array of ultracold atoms in an optical lattice (Mott insulator) excited to a state where single electron wave-functions spatially overlap would represent a new and ideal platform to simulate exotic electronic many-body phenomena in the…

1T-TaS$_2$ undergoes successive phase transitions upon cooling and eventually enters an insulating state of mysterious origin. Some consider this state to be a band insulator with interlayer stacking order, yet others attribute it to Mott…

Strongly Correlated Electrons · Physics 2020-08-26 Y. D. Wang , W. L. Yao , Z. M. Xin , T. T. Han , Z. G. Wang , L. Chen , C. Cai , Yuan Li , Y. Zhang

We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott…

Strongly Correlated Electrons · Physics 2020-08-26 Sudeshna Sen , Patrick J. Wong , Andrew K. Mitchell

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

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

The dynamical mean-field theory (DMFT) is employed to study the Mott transition in the semi-infinite Hubbard model at half-filling and zero temperature. We consider the low-index surfaces of the three-dimensional simple-cubic lattice and…

Strongly Correlated Electrons · Physics 2016-08-31 M. Potthoff , W. Nolting

We analyze the thermodynamics of the atomic and (nematic) pair superfluids appearing in the attractive two-dimensional Bose-Hubbard model with a three-body hard-core constraint that has been derived as an effective model for cold atoms…

Quantum Gases · Physics 2012-07-17 Lars Bonnes , Stefan Wessel

We determine numerically the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions. At low electronic densities, the Wigner…

Strongly Correlated Electrons · Physics 2014-03-04 B. Bernu , F. Delyon , M. Duneau , M. Holzmann

The possibility to directly measure, in a cold-atom quantum simulator, the von Neumann entropy and mutual information between a site and its environment opens new perspectives on the characterization of the Mott-Hubbard metal-insulator…

Strongly Correlated Electrons · Physics 2024-03-11 Gabriele Bellomia , Carlos Mejuto-Zaera , Massimo Capone , Adriano Amaricci

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

Our current understanding of strongly correlated electron systems is based on a homogeneous framework. Here we take a step going beyond this paradigm by incorporating inhomogeneity from the beginning. Specifying to systems near the Mott…

Strongly Correlated Electrons · Physics 2016-05-12 Jian-Huang She , A. R. Bishop , Alexander V. Balatsky

We study the non-equilibrium dynamics of a simple model for V2O3 that consists of a quarter-filled Hubbard model for two orbitals that are split by a weak crystal field. Peculiarities of this model are: (1) a Mott insulator whose gap…

Strongly Correlated Electrons · Physics 2015-05-05 Matteo Sandri , Michele Fabrizio

We study the quantum phase transitions between superfluid and Mott insulator states for ultracold bosons occupying two bands of an optical lattice. The two atomic states are resonantly coupled by a single cavity mode which mediates…

Quantum Physics · Physics 2009-11-12 Hashem Zoubi , Helmut Ritsch

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto