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We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin liquid phase at intermediate coupling, ultimately becoming…

The finite-temperature phase diagram of the Hubbard model in $d=3$ is obtained from renormalization-group analysis. It exhibits, around half filling, an antiferromagnetic phase and, between 30%--40% electron or hole doping from half…

Strongly Correlated Electrons · Physics 2007-05-23 G. Migliorini , A. N. Berker

The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

We investigate the finite temperature properties of the half filled Hubbard model in two dimensions, with onsite interaction ($U$), in presence of (frustrating) next nearest neighbor hopping ($t^{\prime}$) using a semiclassical…

Strongly Correlated Electrons · Physics 2020-05-13 Gour Jana , Anamitra Mukherjee

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested effective description of the Mott phase in various triangular organic compounds. Employing the variational cluster approximation and the ladder…

Strongly Correlated Electrons · Physics 2015-10-13 Manuel Laubach , Ronny Thomale , Christian Platt , Werner Hanke , Gang Li

We study the phase diagram at finite temperature of a system of Fermi particles on the sites of the Bethe lattice with coordination number z and interacting through onsite U and nearest-neighbor V interactions. This is a physical…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini , A. Naddeo

We investigate the Hubbard model on the anisotropic triangular lattice by means of the cellular dynamical mean field theory. The phase diagram determined in the Hubbard interaction versus temperature plane shows novel reentrant behavior in…

Strongly Correlated Electrons · Physics 2009-11-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

We study the half-filled Hubbard model on a one-parameter family of vortex-full square lattices ranging from the isotropic case to weakly coupled Hubbard dimers. The ground-state phase diagram consists of four phases: A semi-metal and a…

Strongly Correlated Electrons · Physics 2014-12-01 D. Ixert , F. F. Assaad , K. P. Schmidt

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations and focus on finite temperature effects. We show in two different cases, ferro- and antiferromagnetic spin-spin…

Quantum Gases · Physics 2012-05-31 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

We study the half-filled Hubbard model on the triangular lattice with spin-dependent Kitaev-like hopping. Using the variational cluster approach, we identify five phases: a metallic phase, a non-coplanar chiral magnetic order, a $120^\circ$…

Strongly Correlated Electrons · Physics 2016-09-15 Kai Li , Shun-Li Yu , Zhao-Long Gu , Jian-Xin Li

We study a range of thermodynamic properties (charge susceptibility, specific heat, entropy and spin susceptibility) of the Hubbard model on the anisotropic triangular lattice at half filling by means of the numerical finite-temperature…

Strongly Correlated Electrons · Physics 2013-05-30 J. Kokalj , Ross H. McKenzie

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently…

Strongly Correlated Electrons · Physics 2021-12-16 Sauri Bhattacharyya , Pinaki Majumdar

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 properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

Strongly Correlated Electrons · Physics 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a…

Strongly Correlated Electrons · Physics 2025-12-05 Jia-Lin Chen , Zhen Fan , Bo Zhan , Jiahang Hu , Tong Liu , Junyi Ji , Kang Wang , Hai-Jun Liao , Tao Xiang

Moire systems offer an exciting playground to study many-body effects of strongly correlated electrons in regimes that are not easily accessible in conventional material settings. Motivated by a recent experiment on…

Strongly Correlated Electrons · Physics 2023-06-07 Kyungmin Lee , Prakash Sharma , Oskar Vafek , Hitesh J. Changlani
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