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Using finite temperature strong coupling expansions for the SU(N) Hubbard Model, we calculate the thermodynamic properties of the model in the infinite-$U$ limit for arbitrary density $0\leq \rho \leq 1$ and all $N$. We express the…

Strongly Correlated Electrons · Physics 2022-08-04 Rajiv R. P. Singh , Jaan Oitmaa

We compute the perturbative expansion for the effective interaction $W$ of the half-filled 2-dimensional Hubbard model. We derive extensions of standard RPA resummations that include arbitrarily high order contributions in the…

Strongly Correlated Electrons · Physics 2023-07-06 Daria Gazizova , J. P. F. LeBlanc

On the basis of Bethe ansatz solution of one dimensional SU(4) Hubbard-like model, we study its thermodynamics properties by means of Yang-Yang thermodynamics Bethe ansatz. The Land\'e $g$ factor is taken into account so as to describe…

Strongly Correlated Electrons · Physics 2007-05-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

We consider $N$-particle generalizations of $\eta$-pairing states in a chain of $N$-component fermions and show that these states are exact (high-energy) eigenstates of an extended SU($N$) Hubbard model. We compute the singlet correlation…

Strongly Correlated Electrons · Physics 2022-02-07 Hironobu Yoshida , Hosho Katsura

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

Imperfections in correlated materials can alter their ground state as well as finite-temperature properties in significant ways. Here, we develop a method based on numerical linked-cluster expansions for calculating exact finite-temperature…

Strongly Correlated Electrons · Physics 2019-05-15 Michael Mulanix , Demetrius Almada , Ehsan Khatami

Understanding thermal properties of materials is fundamental to technological applications and to discovering new phenomena. In particular, advances in experimental techniques such as cold-atom measurements allow the simulation of…

Strongly Correlated Electrons · Physics 2026-05-15 M. A. Habitzreuter , Willdauany C. de Freitas Silva , Eduardo O. Rizzatti , Thereza Paiva , Marcia C. Barbosa

We develop a low-temperature expansion for the finite temperature dynamical structure factor of the spin half Heisenberg chain with alternating nearest neighbour exchange in the limit of strong alternation of the exchange constants. We…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , F. H. L. Essler , R. M. Konik

The extended Hubbard model can host s-wave, d-wave and p-wave superconducting phases depending on the values of the on-site and nearest-neighbour interactions. Upon detailed examination of the free energy functional of the gap in this…

Superconductivity · Physics 2020-11-25 Joel Hutchinson , Frank Marsiglio

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

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

Weak-coupling expansions (conserving approximations) are carried out for the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice) that include all bandstructure and vertex correction effects. Quantum…

Condensed Matter · Physics 2009-10-22 J. K. Freericks , D. J. Scalapino

The free energy of U(N) and SU(N) gauge theory was recently found to be of order N^0 to all orders of a perturbative expansion about a center-symmetric orbit of vanishing curvature. Here I consider extended models for which this expansion…

High Energy Physics - Theory · Physics 2009-11-11 Martin Schaden

Various series expansions have been developed for the two-layer, S=1/2, square lattice Heisenberg antiferromagnet. High temperature expansions are used to calculate the temperature dependence of the susceptibility and specific heat. At T=0,…

Strongly Correlated Electrons · Physics 2016-08-31 Zheng Weihong

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

We consider the $XYZ$ chain model of arbitrary spin $S$ in the high temperature region, with external magnetic field and single-ion anisotropy term. Our high-temperature expansion of the Helmholtz free energy is analytic in the parameters…

Statistical Mechanics · Physics 2009-11-11 Onofre Rojas , S. M. de Souza , E. V. Corrêa Silva , M. T. Thomaz

We investigate the one-dimensional Hubbard model with an additional bond-charge interaction, recently considered in the description of compounds that exhibit strong 1D features above the temperature of ordered phases. The partition function…

Strongly Correlated Electrons · Physics 2009-11-07 Fabrizio Dolcini , Arianna Montorsi

By parameterizing the t-j model we present a new electron correlation model with one free parameter for high-temperature superconductivity. This model is of $SU_{q}(1,2)$ symmetry. The energy spectrums are shown to be modulated by the free…

Condensed Matter · Physics 2009-10-22 Shao-Ming Fei , Rui-Hong Yue

We develop high temperature series expansions for the thermodynamic properties of the honeycomb-lattice Kitaev-Heisenberg model. Numerical results for uniform susceptibility, heat capacity and entropy as a function of temperature for…

Strongly Correlated Electrons · Physics 2017-10-18 Rajiv R. P. Singh , Jaan Oitmaa