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Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

Statistical Mechanics · Physics 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

An extensive Quantum Monte Carlo calculation is performed for the two-leg Hubbard ladder model to clarify whether the singlet pairing correlation decays slowly, which is predicted from the weak-coupling theory but controversial from…

Strongly Correlated Electrons · Physics 2009-10-28 Kazuhiko Kuroki , Takashi Kimura , Hideo Aoki

The critical properties of renormalizable O(N) field models are determined by means of the high order ($\geq 18$) behaviour of convergent linked cluster series on finite temperature lattices. It is shown that those models become weakly…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas Reisz

We analyze high-temperature series expansions of the two-point and four-point correlation-functions in the three-dimensional euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through…

High Energy Physics - Lattice · Physics 2009-11-11 P. Butera , M. Comi

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive…

Statistical Mechanics · Physics 2009-10-30 Peter Grüter , David Ceperley , Franck Laloë

We present a high-temperature series expansion code for spin-1/2 Heisenberg models on arbitrary lattices. As an example we demonstrate how to use the application for an anisotropic triangular lattice with two independent couplings J1 and J2…

Strongly Correlated Electrons · Physics 2017-01-04 Andreas Hehn , Natalija van Well , Matthias Troyer

We apply the Worldvolume Hybrid Monte Carlo (WV-HMC) method [arXiv:2012.08468] to the two-dimensional Hubbard model, which is known to suffer from a severe sign problem when the system is doped (away from half filling). We show that the…

High Energy Physics - Lattice · Physics 2026-05-15 Masafumi Fukuma , Yusuke Namekawa

Using the tensor renormalization group method based on the higher-order singular value decomposition,we have studied the phase transitions of the five-state clock model on the square lattice.The temperature dependence of the specific heat…

Strongly Correlated Electrons · Physics 2022-10-18 Y. Chen , Z. Y. Xie , J. F. Yu

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 present a comprehensive study of the thermodynamic properties of the three-dimensional fermionic Hubbard model, with application to cold fermionic atoms subject to an optical lattice and a trapping potential. Our study is focused on the…

For the study of Ising models of general spin S on the square lattice, we have combined our recently extended high-temperature expansions with the low-temperature expansions derived some time ago by Enting, Guttmann and Jensen. We have…

High Energy Physics - Lattice · Physics 2009-11-10 P. Butera , M. Comi , A. J. Guttmann

We investigate the three-dimensional O(2) model on lattices of size 8^3 to 160^3 close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling J_c found by Ballesteros et al. and estimate there…

High Energy Physics - Lattice · Physics 2015-06-25 S. Holtmann , J. Engels , T. Schulze

We present the high-temperature series for a nearest-neighbor model with O(2) symmetry on a simple cubic lattice with the most general single-site potential. In particular, the magnetic susceptibility and the second-moment correlation…

Statistical Mechanics · Physics 2007-05-23 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

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

A two-dimensional half-filled lattice gas model with nearest-neighbor attractive interaction is studied where particles are coupled to two thermal baths at different temperatures $T_1$ and $T_2$. The hopping of particles is governed by the…

Statistical Mechanics · Physics 2009-10-31 Attila Szolnoki

High temperature expansions for the susceptibility and the second correlation moment of the classical N-vector model (O(N) symmetric Heisenberg model) on the sc and the bcc lattices are extended to order $\beta^{19}$ for arbitrary N. For N=…

High Energy Physics - Lattice · Physics 2009-10-28 P. Butera , M. Comi

Linked cluster expansions provide a useful tool for both analytical and numerical investigations of lattice field theories. The expansion parameter(s) being the interaction strength(s) fields at neighboured lattice sites are coupled, they…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas Reisz

A numerical diagonalization technique with canonical Monte-Carlo simulation algorithm is used to study the phase transitions from low temperature (ordered) phase to high temperature (disordered) phase of spinless Falicov-Kimball model on a…

Strongly Correlated Electrons · Physics 2015-03-20 Umesh K. Yadav , T. Maitra , Ishwar Singh

We study thermal entanglement in some low-dimensional Heisenberg models. It is found that in each model there is a critical temperature above which thermal entanglement is absent.

Quantum Physics · Physics 2007-05-23 Hongchen Fu , Allan I Solomon , Xiaoguang Wang

We report a quasi-exact power law behavior for Ising critical temperatures on hypercubes. It reads $J/k_BT_c=K_0[(1-1/d)(q-1)]^a$ where $K_0=0.6260356$, $a=0.8633747$, $d$ is the space dimension, $q$ the coordination number ($q=2d$), $J$…

Condensed Matter · Physics 2015-06-25 Serge Galam , Alain Mauger