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We study the weak-coupling limit of the $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using a direct perturbative approach. Aided by symbolic computational tools, we compute the longitudinal density-density correlation…

Strongly Correlated Electrons · Physics 2022-08-10 B. D. E. McNiven , Hanna Terletska , G. T. Andrews , J. P. F. LeBlanc

Taking the site-diagonal terms of the one-dimensional ionic Hubbard model (IHM) as $H_0$, we employ Continuous Unitary Transformations (CUT) to obtain a "classical" effective Hamiltonian in which hopping term has been integrated out. For…

Strongly Correlated Electrons · Physics 2015-05-13 Mohsen Hafez , S. A. Jafari , M. R. Abolhassani

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

Strongly Correlated Electrons · Physics 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

We analyze the role of spatial electronic correlations and, in particular, of the magnetic fluctuations in Mott insulators. A half-filled Hubbard model is solved at large strength of the repulsion U on a two-dimensional square lattice using…

Strongly Correlated Electrons · Physics 2024-02-19 Evgeny A. Stepanov , Maria Chatzieleftheriou , Niklas Wagner , Giorgio Sangiovanni

We introduce a novel extension of the Gutzwiller variational wavefunction able to deal with insulators that escape any mean-field like description, as for instance non-magnetic insulators. As an application, we study the Mott transition…

Strongly Correlated Electrons · Physics 2009-11-13 Michele Fabrizio

A half-filled-band Hubbard model on an anisotropic triangular lattice (t in two bond directions and t' in the other) is studied using an optimization variational Monte Carlo method, to consider the Mott transition and superconductivity…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

It has been a long sought goal of Quantum Simulation to find answers to long standing questions in condensed matter physics. A famous example is the ground and the excitations of 2D Hubbard model with strong repulsion below half filling.…

Quantum Gases · Physics 2020-03-09 Tin-Lun Ho

Using the strong coupling diagram technique a self-consistent equation for the electron Green's function is derived for the repulsive Hubbard model. Terms of two lowest orders of the ratio of the bandwidth $\Delta$ to the Hubbard repulsion…

Strongly Correlated Electrons · Physics 2019-05-21 A. Sherman

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a…

Strongly Correlated Electrons · Physics 2023-04-18 Peizhi Mai , Benjamin E. Feldman , Philip W. Phillips

In an attempt to clarify the nature of the crossover from a Peierls band insulator to a Mott Hubbard insulator, we analyze ground-state and spectral properties of the one-dimensional half-filled Holstein Hubbard model using exact…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , A. Weiße , F. Göhmann , H. Büttner , A. R. Bishop

In the absence of a confining potential, the boson Hubbard model in its ground state is known to exhibit a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong on-site repulsion. In this paper, we use…

Superconductivity · Physics 2008-11-03 G. G. Batrouni , V. Rousseau , R. T. Scalettar , M. Rigol , A. Muramatsu , P. J. H. Denteneer , M. Troyer

Transport through a 1D Mott-Hubbard insulator of a finite length $L$ is studied beyond perturbative approach. At special value of the low energy constant of the interaction we have mapped the problem onto the exactly solvable models and…

Condensed Matter · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

Gutzwiller variational method is applied to an effective two-dimensional Hubbard model to examine the recently proposed gossamer superconductor by Laughlin. The ground state at half filled electron density is a gossamer superconductor for…

Strongly Correlated Electrons · Physics 2009-11-07 F. C. Zhang

We use Quantum Monte Carlo simulations and exact diagonalization to explore the phase diagram of the Bose-Hubbard model with an additional superlattice potential. We first analyze the properties of superfluid and insulating phases present…

Other Condensed Matter · Physics 2017-09-11 V. G. Rousseau , D. P. Arovas , M. Rigol , F. Hébert , G. G. Batrouni , R. T. Scalettar

The Hubbard model at temperatures above the N\'{e}el transition, despite being a paramagnet, can exhibit rich physics due to the interplay of Fermi surface, on-site interaction $U$ and thermal fluctuations. Nevertheless, the understanding…

Strongly Correlated Electrons · Physics 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

The Hubbard model has been investigated widely by many authors, while this work may be new in two aspects. One, we focus on the possible effects of the positions of the gaps associated with the pairing and the spin density wave. Two, we…

General Physics · Physics 2012-08-28 Tian De Cao

We show that a particular class of variational wave functions reproduces the low-energy properties of the Hubbard model in one dimension. Our approach generalizes to finite on-site Coulomb repulsion the fully-projected wave function…

Strongly Correlated Electrons · Physics 2009-11-11 Manuela Capello , Federico Becca , Seiji Yunoki , Michele Fabrizio , Sandro Sorella

Many theoretical approaches find d-wave superconductivity in the prototypical one-band Hubbard model for high-temperature superconductors. At strong-coupling (U > W, where U is the on-site repulsion and W=8t the bandwidth) pairing is…

Superconductivity · Physics 2013-10-09 D. Sénéchal , A. Day , V. Bouliane , A. -M. S. Tremblay

The breakdown of the Mott insulator is studied when the dissipative tunneling into the environment is introduced to the system. By exactly solving the one-dimensional asymmetric Hubbard model, we show how such a breakdown of the Mott…

Statistical Mechanics · Physics 2009-10-31 T. Fukui , N. Kawakami

We study the effect of spatial inhomogeneity on the physics of a strongly correlated electron system exhibiting a metallic phase and a Mott insulating phase, represented by the simple Hubbard model. In three dimensions, we consider various…

Strongly Correlated Electrons · Physics 2015-05-14 Giovanni Borghi , Michele Fabrizio , Erio Tosatti
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