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The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of…

Statistical Mechanics · Physics 2009-11-11 A. Reischl , K. P. Schmidt , G. S. Uhrig

We consider the dimer Hubbard model within Dynamical Mean Field Theory to study the interplay and competition between Mott and Peierls physics. We describe the various metal-insulator transition lines of the phase diagram and the break down…

Strongly Correlated Electrons · Physics 2018-01-17 O. Nájera , M. Civelli , V. Dobrosavljević , M. J. Rozenberg

In this paper, we studied a generalized Bose-Hubbard model on a checkerboard lattice with topologically nontrivial flat-band. We used mean-field method to decouple the model Hamiltonian and obtained phase diagram by Landau theory of…

Quantum Gases · Physics 2015-06-05 Xing-Hai Zhang , Su-Peng Kou

We present a quantitative, near-term experimental blueprint for the quantum simulation of topological insulators using lattice-trapped ultracold polar molecules. In particular, we focus on the so-called Hopf insulator, which represents a…

Moir\'e superlattices have emerged as an exciting condensed-matter quantum simulator for exploring the exotic physics of strong electronic correlations. Notable progress has been witnessed, but such correlated states are achievable usually…

By comparing the responses to an in-plane magnetic field near the metal-insulator transition (MIT), we find that the observed MIT in Si MOSFETs can be described by the non-perturbative Mott-Hubbard scenario. Interrelations between…

Strongly Correlated Electrons · Physics 2007-05-23 Ping Sun

The recent discovery of superconductivity in infinite-layer nickelates has drawn considerable attention; however, a consensus on the fundamental building blocks and common ingredients necessary to understand and describe their ground states…

Strongly Correlated Electrons · Physics 2023-12-07 Cheng Peng , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux , Chunjing Jia

In this report we have analyzed a simple effective model for a description of magnetically ordered insulators. The Hamiltonian considered consists of the effective on-site interaction (U) and the intersite Ising-like magnetic exchange…

Strongly Correlated Electrons · Physics 2023-07-19 Szymon Murawski , Konrad Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

We theoretically study the competition among different electronic phases in molecular conductors $\kappa$-(BEDT-TTF)$_2$X. The ground-state properties of a 3/4-filled extended Hubbard model with the $\kappa$-type geometry are investigated…

Superconductivity · Physics 2017-02-10 Hiroshi Watanabe , Hitoshi Seo , Seiji Yunoki

We investigate a quarter-filled two-band Hubbard model involving a crystal-field splitting, which lifts the orbital degeneracy as well as an inter-orbital hopping (inter-band hybridization). Both terms are relevant to the realistic…

Strongly Correlated Electrons · Physics 2008-07-28 Alexander I. Poteryaev , Michel Ferrero , Antoine Georges , Olivier Parcollet

Motivated by the recent discovery of a low temperature spin liquid phase in layered organic compound $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ which becomes a superconductor under pressure, we examine the phase transition of Mott insulating and…

Superconductivity · Physics 2007-05-23 J. Y. Gan , Yan Chen , F. C. Zhang

Correlated states emerge in low-dimensional systems owing to enhanced Coulomb interactions. Elucidating these states requires atomic scale characterization and delicate control capabilities. In this study, spectroscopic imaging-scanning…

We investigate the infinite-dimensional two-orbital Hubbard model at arbitrary band fillings. By means of the self-energy functional approach, we discuss the stability of the metallic state in the systems with same and different bandwidths.…

Strongly Correlated Electrons · Physics 2009-11-13 Kensuke Inaba , Akihisa Koga

The Gutzwiller wave function for a strongly correlated model can, if supplemented with a long-range Jastrow factor, provide a proper variational description of Mott insulators, so far unavailable. We demonstrate this concept in the…

Strongly Correlated Electrons · Physics 2009-11-10 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella , Erio Tosatti

The metal-insulator transition of the quarter-filled Hubbard model on triangular lattice is studied at the mean field level. We find a quasi-one dimensional metallic state with a collinear magnetic order competes closely with an insulating…

Strongly Correlated Electrons · Physics 2010-01-06 Tao Li

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under…

Quantum Gases · Physics 2015-06-15 Shi-Liang Zhu , Z. D. Wang , Y. -H. Chan , L. -M. Duan

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

Quantum spin Hall insulators are a class of two-dimensional materials with a finite electronic band gap in the bulk and gapless helical edge states. In the presence of time-reversal symmetry, $\mathbb{Z}_2$ topological order distinguishes…

Materials Science · Physics 2020-01-08 Antimo Marrazzo , Marco Gibertini , Davide Campi , Nicolas Mounet , Nicola Marzari

Within the ionic Hubbard model, electron correlations transmute the single-particle gap of a band insulator into a Mott gap in the strong correlation limit. However understanding the nature of possible phases in between these two extreme…

Strongly Correlated Electrons · Physics 2018-11-13 Tohid Farajollahpour , S. A. Jafari

We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators" which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are…

Strongly Correlated Electrons · Physics 2015-05-19 Hong Yao , Steven A. Kivelson