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For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula…

统计力学 · 物理学 2011-02-11 Tetsuo Deguchi , Chihiro Matsui

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

The thermal Wightman functions for free, massless particles of spin 0, 1/2, 1, 3/2, and 2 are computed directly in coordinate space by solving the appropriate differential equation and imposing the Kubo-Martin-Schwinger condition. The…

高能物理 - 唯象学 · 物理学 2009-10-31 H. Arthur Weldon

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…

凝聚态物理 · 物理学 2009-10-22 Y. M. Li , N. d'Ambrumenil

We consider a system of interacting Brownian particles in R^d with a pairwise potential, which is radially symmetric, of finite range and attains a unique minimum when the distance of two particles becomes a>0. The asymptotic behavior of…

概率论 · 数学 2016-09-07 Tadahisa Funaki

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

统计力学 · 物理学 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how…

solv-int · 物理学 2008-02-03 Fabian H. L. Essler , Vladimir E. Korepin

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

量子气体 · 物理学 2012-04-17 Zhenhua Yu

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai

We calculate the asymptotic behaviour of correlation functions as a function of the microscopic parameters for a Bose-Fermi mixture with repulsive interaction in one dimension. For two cases, namely polarized and unpolarized fermions the…

强关联电子 · 物理学 2007-05-23 Holger Frahm , Guillaume Palacios

The correlation length of the square-lattice spin-1/2 Heisenberg antiferromagnet is studied in the low-temperature (asymptotic-scaling) regime. Our novel approach combines a very efficient loop cluster algorithm -- operating directly in the…

强关联电子 · 物理学 2009-10-30 B. B. Beard , R. J. Birgeneau , M. Greven , U. -J. Wiese

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

数学物理 · 物理学 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's…

高能物理 - 理论 · 物理学 2009-10-28 James V. Steele , Ajay Subramanian , Ismail Zahed

We analyze the spin transport through a finite-size one-dimensional interacting wire connected to noninteracting leads. By combining renormalization-group arguments with other analytic considerations such as the memory function technique…

量子气体 · 物理学 2020-04-28 A. -M. Visuri , M. Lebrat , S. Häusler , L. Corman , T. Giamarchi

We consider scattering of spinless fermions by an inversion-symmetric interacting model characterized by three parameters (interaction U, internal hopping t_d and coupling t_c). Mapping this spinless model onto an Anderson model with Zeeman…

介观与纳米尺度物理 · 物理学 2009-04-07 Axel Freyn , Jean-Louis Pichard

Using a proposed generalization of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of…

统计力学 · 物理学 2009-01-09 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

强关联电子 · 物理学 2007-05-23 Fabian Heidrich-Meisner

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

量子气体 · 物理学 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

Using ab initio lattice methods, we calculate the finite temperature thermodynamics of homogeneous two-dimensional spin-1/2 fermions with attractive short-range interactions. We present results for the density, pressure, compressibility,…

量子气体 · 物理学 2015-09-16 E. R. Anderson , J. E. Drut

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [A. Rapp, G. Zarand, Phys. Rev. B 74, 014433 (2006)] can also be used for the…

统计力学 · 物理学 2009-01-26 Akos Rapp , Gergely Zarand