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We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the ground state displays phase separation away from half-filling.…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

Using stochastic series expansion quantum Monte Carlo and density matrix renormalization group methods, we investigate the ground-state phase diagram of the $S=1/2$ Heisenberg model on the two-dimensional square-hexagon-octagon (SHO)…

Strongly Correlated Electrons · Physics 2026-01-14 Yumeng Luo , Yuehong Li , Mengfan Jiang , Muwei Wu , Jian-Jian Yang , Dao-Xin Yao , Han-Qing Wu

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang

The phase diagram of the attractive Hubbard model with spatially inhomogeneous interactions is obtained using a single site dynamical mean field theory like approach. The model is characterized by three parameters: the interaction strength,…

Superconductivity · Physics 2009-11-13 Vijay B. Shenoy

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

The Hubbard model on a two-leg ladder structure has been studied by a combination of series expansions at T=0 and the density-matrix renormalization group. We report results for the ground state energy $E_0$ and spin-gap $\Delta_s$ at…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa , C. J. Hamer , R. J. Bursill

We explore the ground-state properties of a one-dimensional model with two orbitals per site, where, in addition to atomic energies $\pm M$, intra- and inter-orbital hoppings, the intra-orbital Hubbard ($U$) and nearest-neighbor…

Strongly Correlated Electrons · Physics 2025-04-07 Roberta Favata , Davide Piccioni , Alberto Parola , Federico Becca

We obtain a complete and exact in the weak-coupling limit ($U \rightarrow 0$) ground state phase diagram of the repulsive fermionic Hubbard model on the square lattice for filling factors $0 < n < 2$ and next-nearest-neighbour hopping…

Strongly Correlated Electrons · Physics 2016-08-10 Fedor Simkovic , Xuan-Wen Liu , Youjin Deng , Evgeny Kozik

The ground state (GS) properties of the quasi-one-dimensional $AB_2$ Hubbard model are investigated taking the effects of charge and spin quantum fluctuations on equal footing. In the strong-coupling regime, we derive a low-energy…

Strongly Correlated Electrons · Physics 2018-12-17 V. M. Martinez Alvarez , M. D. Coutinho-Filho

A repulsive Hubbard model with both spin-asymmetric hopping (${t_\uparrow\neq t_\downarrow}$) and a staggered potential (of strength $\Delta$) is studied in one dimension. The model is a compound of the mass-imbalanced (${t_\uparrow\neq…

Strongly Correlated Electrons · Physics 2017-07-14 Michael Sekania , Dionys Baeriswyl , Luka Jibuti , George I. Japaridze

We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions…

Quantum Gases · Physics 2015-06-17 Dietrich Roscher , Jens Braun , Joaquín E. Drut

We study the phase diagram of the two-dimensional repulsive Hubbard model with spin-dependent anisotropic hopping at half-filling. The system develops Ising antiferromagnetic long-range order already at infinitesimal repulsive interaction…

Strongly Correlated Electrons · Physics 2017-05-17 Jan Gukelberger , Lei Wang , Lode Pollet

By using an unbiased quantum Monte Carlo method, we investigate the hard-core Bose-Hubbard model on a square lattice with anisotropic dipole-dipole interaction. To study the effect of the anisotropy, dipole moments are assumed to be…

Quantum Gases · Physics 2013-01-01 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima

Using quantum Monte Carlo simulations, results of a strong-coupling expansion, and Luttinger liquid theory, we determine quantitatively the ground state phase diagram of the one-dimensional extended Hubbard model with on-site and…

Strongly Correlated Electrons · Physics 2009-11-10 A. W. Sandvik , L. Balents , D. K. Campbell

We study the phase diagram of the fermionic Hubbard model on the hexagonal lattice in the space of on-site and nearest neighbor couplings with Hybrid-Monte-Carlo simulations. With pure on-site repulsion this allows to determine the critical…

High Energy Physics - Lattice · Physics 2016-11-02 Pavel Buividovich , Dominik Smith , Maksim Ulybyshev , Lorenz von Smekal

We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the…

Strongly Correlated Electrons · Physics 2016-01-27 Bo-Xiao Zheng , Garnet Kin-Lic Chan

An efficient scheme is introduced for a fast and smooth convergence to the thermodynamic limit with finite size cluster calculations. This is obtained by modifying the energy levels of the non interacting Hamiltonian in a way consistent…

Strongly Correlated Electrons · Physics 2015-05-12 Sandro Sorella

We employ the Hartree-Fock approximation to identify the magnetic ground state of the Hubbard model on a frustrated square lattice. We investigate the phase diagram as a function of the Coulomb repulsion's strength $U$, and the ratio $t'/t$…

Strongly Correlated Electrons · Physics 2020-11-18 Yun-Peng Huang , Jin-Wei Dong , Panagiotis Kotetes , Sen Zhou

We study the ground state of the two-dimensional (2D) disordered Hubbard model by means of the projector quantum Monte Carlo (PQMC) method. This approach allows us to investigate the ground state properties of this model for lattice sizes…

Disordered Systems and Neural Networks · Physics 2009-10-31 Gaetan Caldara , Bhargavi Srinivasan , Dima Shepelyansky

Systems of fermions described by the three-dimensional (3D) repulsive Hubbard model on a cubic lattice have recently attracted considerable attention due to their possible experimental realization via cold atoms in an optical lattice.…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Simone Chiesa , Eric J. Walter , Shiwei Zhang