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We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings. The investigated quantum spin system exhibits at zero temperature fractional plateaux at…

Statistical Mechanics · Physics 2014-10-21 T. Verkholyak , J. Strecka

A model relevant for the study of certain molecular magnets is the ring of N=4 classical spins with equal near-neighbor isotropic Heisenberg exchange interactions. Assuming classical Heisenberg spin dynamics, we solve explicitly for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard A. Klemm , Marshall Luban

We summarize results on the asymptotics of the two-particle Green functions of interacting electrons in one dimension. Below a critical value of the chemical potential the Fermi surface vanishes, and the system can no longer be described as…

Condensed Matter · Physics 2007-05-23 F. Göhmann

We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the singularities of the operator matrix elements…

Statistical Mechanics · Physics 2007-05-23 B. L. Altshuler , A. M. Tsvelik

We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral…

Statistical Mechanics · Physics 2012-08-09 Britta Aufgebauer , Andreas Klümper

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

The phase diagram of the model of spinless fermions with repulsive nearest neighbour interaction is calculated analytically on a hypercubic lattice in infinite dimensions $(d\to \infty)$. In spite of its simplicity the model displays a rich…

Condensed Matter · Physics 2009-10-28 G. S. Uhrig , R. Vlaming

We consider a gas of fermions with non-zero spin at temperature $T$ and chemical potential $\mu$. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs…

Mathematical Physics · Physics 2015-06-26 Robert Seiringer

We study both the static and dynamic properties of gapped, one-dimensional, Heisenberg, anti-ferromagnetic, spin chains at finite temperature through an analysis of the O(3) non-linear sigma model. Exploiting the integrability of this…

Strongly Correlated Electrons · Physics 2013-05-29 Robert M. Konik

We study the spin and thermal conductivity of spin-1/2 ladders at finite temperature. This is relevant for experiments with quantum magnets. Using a state-of-the-art density matrix renormalization group algorithm, we compute the current…

Strongly Correlated Electrons · Physics 2015-06-23 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

Dirac equation describes the dynamics of a relativistic spin-1/2 particle regarding its spatial motion and intrinsic degrees of freedom. Here we adopt the point of view that the spinors describe the state of a massive particle carrying two…

Quantum Physics · Physics 2015-08-04 Alex E. Bernardini , Salomon S. Mizrahi

Based on our derivation of finite temperature reduced density matrix functional theory and the discussion of the performance of its first-order functional this work presents several different correlation-energy functionals and applies them…

Other Condensed Matter · Physics 2012-08-24 Tim Baldsiefen , E. K. U. Gross

We calculate the low-temperature thermodynamic quantities (magnetization, correlation functions, transverse and longitudinal correlation lengths, spin susceptibility, and specific heat) of the frustrated one-dimensional spin-half J1-J2…

Strongly Correlated Electrons · Physics 2015-05-27 M. Härtel , J. Richter , D. Ihle

We revisit the particle-hole symmetry of the one-dimensional ($D=1$) fermionic spinless Hubbard model, associating that symmetry to the invariance of the Helmholtz free energy of the one-dimensional spin-1/2 $XXZ$ Heisenberg model, under…

Statistical Mechanics · Physics 2014-07-09 M. T. Thomaz , E. V. Corrêa Silva , O. Rojas

We study the correlation $<\sigma^z_0\sigma^z_n>$ for the XXZ chain in the massless attractive (ferromagnetic) region at positive temperatures by means of a numerical study of the quantum transfer matrix. We find that there is a range of…

Statistical Mechanics · Physics 2016-08-15 Klaus Fabricius , Andreas Klümper , Barry M. McCoy

The quantum transfer matrix (QTM) approach to integrable lattice Fermion systems is presented. As a simple case we treat the spinless Fermion model with repulsive interaction in critical regime. We derive a set of non-linear integral…

Statistical Mechanics · Physics 2019-12-20 Kazumitsu Sakai , Masahiro Shiroishi , Junji Suzuki , Yukiko Umeno

Highly accurate results are presented for the susceptibility, $\chi (T)$ of the $s=1/2$ Heisenberg antiferromagnetic chain for all temperatures, using the Bethe ansatz and field theory methods. After going through a rounded peak, $\chi (T)$…

Condensed Matter · Physics 2009-10-22 Sebastian Eggert , Ian Affleck , Minoru Takahashi

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

It was shown [Chin. Phys. Lett. 28, 020503 (2011)] that at zero temperature the ground state of the one-dimensional (1D) $w$-component Fermi gas coincides with that of the spinless Bose gas in the limit $\omega\to \infty$. This behaviour…

Quantum Gases · Physics 2016-03-29 Yuzhu Jiang , Peng He , Xi-Wen Guan

We investigate proposals of how the form factor approach to compute correlation functions at zero temperature can be extended to finite temperature. For the two-point correlation function we conclude that the suggestion to use the usual…

High Energy Physics - Theory · Physics 2015-06-26 O. A. Castro-Alvaredo , A. Fring