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We study the half filled Hubbard model on a hypercubic lattice in infinite dimensions in the presence of a staggered magnetic field. An exact Ward-identity between vertex functions and self-energies is derived, that holds in any phase…

Condensed Matter · Physics 2009-10-22 Peter Kopietz

We study the extended Hubbard model on a two-dimensional half-filled square lattice using the dynamical cluster approximation. We present results on the phase boundaries between the paramagnetic metallic (normal) state and the insulating…

Strongly Correlated Electrons · Physics 2019-07-03 Joseph Paki , Hanna Terletska , Sergei Iskakov , Emanuel Gull

For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian…

Other Condensed Matter · Physics 2007-05-23 G. Mazzarella , S. M. Giampaolo , F. Illuminati

We study the Heisenberg model on the pinwheel distorted kagome lattice as observed in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamic properties at finite temperatures are computed utilizing numerical linked-cluster…

Strongly Correlated Electrons · Physics 2011-12-21 Ehsan Khatami , Rajiv R. P. Singh , Marcos Rigol

We study finite-temperature properties of a Hubbard model including sites of a particle bath which was proposed as a microscopic model to show itinerant ferromagnetism at finite electron density. We use direct numerical methods, such as…

Strongly Correlated Electrons · Physics 2022-07-15 Hiroaki Onishi , Seiji Miyashita

We use quantum kinetic theory to calculate the thermoelectric transport properties of the 2D single band Fermi-Hubbard model in the weak coupling limit. For generic filling, we find that the high-temperature limiting behaviors of the…

Quantum Gases · Physics 2021-11-03 Thomas G. Kiely , Erich J. Mueller

Representing the time-evolution operator as a tensor network constitutes a key ingredient in several algorithms for studying quantum lattice systems at finite temperature or in a non-equilibrium setting. For a Hamiltonian composed of…

Strongly Correlated Electrons · Physics 2026-02-26 Sander De Meyer , Atsushi Ueda , Yuchi He , Nick Bultinck , Jutho Haegeman

We derive analytical expressions for the spectral moments of the dynamical response functions of the Hubbard model using the high-temperature series expansion. We consider generic dimension $d$ as well as the infinite-$d$ limit, arbitrary…

Strongly Correlated Electrons · Physics 2026-01-16 Edward Perepelitsky , Andrew Galatas , Jernej Mravlje , Rok Žitko , Ehsan Khatami , B Sriram Shastry , Antoine Georges

We investigate the fermionic SU(N) Hubbard model on the two-dimensional square lattice for weak to moderate interaction strengths using one-loop renormalization group and mean-field methods. For the repulsive case U>0 at half filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp , Walter Hofstetter

We identify a three-dimensional system that exhibits long-range entanglement at sufficiently small but nonzero temperature--it therefore constitutes a quantum topological order at finite temperature. The model of interest is known as the…

Strongly Correlated Electrons · Physics 2025-07-25 Shu-Tong Zhou , Meng Cheng , Tibor Rakovszky , Curt von Keyserlingk , Tyler D. Ellison

We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

We study the 3D anisotropic Hubbard model on a cubic lattice with hopping parameter $t$ in the $x$- and $y$-directions and a possibly different hopping parameter $t_z$ in the $z$-direction; this model interpolates between the 2D and 3D…

Mathematical Physics · Physics 2025-01-30 E. Langmann , J. Lenells

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

Strongly Correlated Electrons · Physics 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

Experiments with cold atoms trapped in optical lattices offer the potential to realize a variety of novel phases but suffer from severe spatial inhomogeneity that can obscure signatures of new phases of matter and phase boundaries. We use a…

Other Condensed Matter · Physics 2009-11-13 V. W. Scarola , L. Pollet , J. Oitmaa , M. Troyer

We study an integrable model of one-dimensional strongly correlated electrons at finite temperature by explicit calculation of the correlation lengths of various correlation functions. The model is invariant with respect to the quantum…

Statistical Mechanics · Physics 2019-12-20 Andreas Kluemper , Kazumitsu Sakai

We have systematically studied the thermodynamic properties of a two-dimensional half-filled SU(2N) Hubbard model on a square lattice by using the determinant quantum Monte Carlo method. The entropy-temperature relation, the isoentropy…

Quantum Gases · Physics 2015-02-02 Zhichao Zhou , Zi Cai , Congjun Wu , Yu Wang

In the strong coupling limit, $n$-point functions in lattice QCD with staggered fermions can be rewritten exactly as sums over constrained configurations of monomers, dimers, and baryon loops covering the spacetime lattice. Worm algorithms…

High Energy Physics - Lattice · Physics 2017-02-01 Philippe de Forcrand , Paul Romatschke , Wolfgang Unger , Helvio Vairinhos

An approximate partition functional is derived for the infinite-dimensional Hubbard model. This functional naturally includes the exact solution of the Falicov-Kimball model as a special case, and is exact in the uncorrelated and atomic…

Condensed Matter · Physics 2009-10-22 Y. M. Li , N. d'Ambrumenil

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Strongly Correlated Electrons · Physics 2014-11-25 Anamitra Mukherjee , Niravkumar D. Patel , Shuai Dong , Steve Johnston , Adriana Moreo , Elbio Dagotto

We analyze the temperature dependence of the entropy of the spin-1/2 Heisenberg model on the three-dimensional simple-cubic lattice, for both the case of antiferromagnetic and ferromagnetic nearest neighbor exchange interactions. Using…

Strongly Correlated Electrons · Physics 2015-05-14 Stefan Wessel
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