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We study the particle-hole symmetry in the Hubbard model using ultracold fermionic atoms in an optical lattice. We demonstrate the mapping between charge and spin degrees of freedom and, in particular, show the occurrence of a state with…

Quantum Gases · Physics 2020-01-15 M. Gall , C. F. Chan , N. Wurz , M. Köhl

We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This…

Strongly Correlated Electrons · Physics 2020-08-05 Garry Goldstein , Nicola Lanata , Gabriel Kotliar

Spectral properties of the Bose-Hubbard model and a recently proposed coupled-cavity model are studied by means of quantum Monte Carlo simulations in one dimension. Both models exhibit a quantum phase transition from a Mott insulator to a…

Other Condensed Matter · Physics 2009-09-17 Peter Pippan , Hans Gerd Evertz , Martin Hohenadler

This article reviews the effort to understand the physics of high temperature superconductors from the point of view of doping a Mott insulator. The basic electronic structure of the cuprates is reviewed, emphasizing the physics of strong…

Strongly Correlated Electrons · Physics 2009-09-29 Patrick A. Lee , Naoto Nagaosa , Xiao-Gang Wen

Recent experimental realizations of artificial gauge fields for cold atoms are promising for generating steady states carrying a mass current in strongly correlated systems, such as the Bose-Hubbard model. Moreover, a homogeneous condensate…

Quantum Gases · Physics 2014-11-25 Sebastiano Peotta , Chih-Chun Chien , Massimiliano Di Ventra

We investigate the Mott transitions in two-orbital Hubbard systems. Applying the dynamical mean field theory and the self-energy functional approach, we discuss the stability of itinerant quasi-particle states in each band. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-11 A. Koga , K. Inaba , N. Kawakami

Sr$_{2}$IrO$_{4}$ has often been described via a simple, one-band pseudo-spin 1/2 model, subject to electron-electron interactions, on a square lattice, fostering analogies with cuprate superconductors, believed to be well described by a…

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

We study the transition from a Mott insulator to a superfluid in both the two- and the three-dimensional Bose-Hubbard model at zero temperature, employing the method of the effective potential. Converting Kato's perturbation series into an…

Other Condensed Matter · Physics 2009-03-11 Niklas Teichmann , Dennis Hinrichs , Martin Holthaus , Andre Eckardt

Charge creation via quantum tunneling, i.e. dielectric breakdown, is one of the most fundamental and significant phenomena arising from strong light(field)-matter coupling. In this work, we conduct a systematic numerical analysis of quantum…

Strongly Correlated Electrons · Physics 2026-05-08 Thomas Hansen , Lars Bojer Madsen , Yuta Murakami

By utilizing the twisted boundary conditions in the exact diagonalization method, we investigate the single-particle spectral function of the extended Peierls-Hubbard model at both half-filling and quarter filling. In one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2024-07-19 Ren-He Xu , Hantao Lu , Takami Tohyama , Can Shao

We discuss the photovoltaic effect at a p-n heterojunction, in which the illuminated side is a doped Mott insulator, using the simplest description of a Mott insulator within the Hubbard model. We find that the internal quantum efficiency…

Strongly Correlated Electrons · Physics 2015-05-14 Efstratios Manousakis

We consider the Bose-Hubbard model on a two-leg ladder under an artificial magnetic field, and investigate the superfluid-to-Mott insulator transition in this setting. Recently, this system has been experimentally realized [M.Atala…

Quantum Gases · Physics 2015-02-03 Ahmet Keleş , M. Ö. Oktel

In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard…

Strongly Correlated Electrons · Physics 2019-04-30 Xiao-Yong Feng , Jianhui Dai

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

The Hubbard model and its extensions are canonical theoretical frameworks for understanding correlated electronic states, including those in high-$T_c$ cuprates. Here, we use state-of-the-art thermal tensor network method to map out the…

Strongly Correlated Electrons · Physics 2026-04-20 Qiaoyi Li , Yang Qi , Wei Li

The exact diagonalization and the variational cluster approximation (VCA) are used to study the nature of a novel Mott insulator induced by a strong spin-orbit coupling for a two-dimensional three-band Hubbard model consisting of the…

Strongly Correlated Electrons · Physics 2014-11-24 Tomonori Shirakawa , Hiroshi Watanabe , Seiji Yunoki

Describing and achieving `unconventional' superconductivity remains a forefront challenge in quantum many-body physics. Here we use a unitary mapping, combined with the well-established properties of the attractive Hubbard model to…

Superconductivity · Physics 2024-04-18 Xingchuan Zhu , Junsong Sun , Shou-Shu Gong , Wen Huang , Shiping Feng , Richard T. Scalettar , Huaiming Guo

A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li , Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

Mechanisms of Mott transitions and dx2-y2-wave superconductivity (SC) are studied in the half-filled-band Hubbard model on square lattices with a diagonal hopping term (t'), using an optimization (or correlated) variational Monte Carlo…

Strongly Correlated Electrons · Physics 2009-11-11 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka