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We derive contour integral formulas for the real space propagator of the spin-$\tfrac12$ XXZ chain. The exact results are valid in any finite volume with periodic boundary conditions, and for any value of the anisotropy parameter. The…

统计力学 · 物理学 2019-05-29 G. Z. Fehér , B. Pozsgay

At zero temperature coupled cluster theory is widely used to predict total energies, ground state expectation values and even excited states for molecules and extended systems. Generalizations to finite temperature exist, however, they are…

材料科学 · 物理学 2019-11-21 Felix Hummel

A cluster density matrix is introduced in the form suitable for the self-consistent calculation of relevant thermodynamic averages for the Ising model with spin S=1/2. On this basis, derivation of the Gibbs free-energy for the effective…

统计力学 · 物理学 2007-11-20 Tadeusz Balcerzak

We present an integral formula for the density matrix of a finite segment of the infinitely long spin-1/2 XXZ chain. This formula is valid for any temperature and any longitudinal magnetic field.

统计力学 · 物理学 2009-11-10 Frank Göhmann , Andreas Klümper , Alexander Seel

It is shown that the diagrammatic cluster expansion technique for equilibrium averages of spin operators may be straightforwardly extended to the calculation of time-dependent correlation functions of spin operators. We use this technique…

统计力学 · 物理学 2007-05-23 Daniel Greenbaum

Initially, we derive a nonlinear integral equation for the vacuum counting function of the spin 1/2-XYZ chain in the {\it disordered regime}, thus paralleling similar results by Kl\"umper \cite{KLU}, achieved through a different technique…

高能物理 - 理论 · 物理学 2009-11-11 Davide Fioravanti , Marco Rossi

The low energy excitation spectrum of a two-dimensional ferromagnetic material is dominated by single-magnon excitations that show a gapless parabolic dispersion relation with the spin wave vector. This occurs as long as magnetic anisotropy…

介观与纳米尺度物理 · 物理学 2023-10-25 F. Delgado , M. M. Otrokov , A. Arnau

Linked cluster series expansions about the Ising limit are used to study ground state preperties, viz. ground state energy, magnetization and excitation spectra, for mixed spin S=(1/2,1) quantum ferrimagnets on simple bipartite lattices in…

强关联电子 · 物理学 2007-05-23 Weihong Zheng , J. Oitmaa

Using the Bethe ansatz method and the TBA equations for the higher spin integrable XXZ chain, the regular zero frequency contribution to the spin current correlation (spin dc conductivity) is analyzed for the spin-1/2 XXZ chain with an…

统计力学 · 物理学 2024-04-30 Shinya Ae

We consider the inhomogeneous generalization of the density matrix of a finite segment of length $m$ of the antiferromagnetic Heisenberg chain. It is a function of the temperature $T$ and the external magnetic field $h$, and further depends…

高能物理 - 理论 · 物理学 2011-02-16 Herman E. Boos , Frank Göhmann , Andreas Klümper , Junji Suzuki

Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. All calculations are performed on the ground of the Quantum…

强关联电子 · 物理学 2022-03-09 P. N. Bibikov

We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulas follow from several effective re-summations of the…

高能物理 - 理论 · 物理学 2009-09-25 N. Kitanine , K. Kozlowski , J. M. Maillet , G. Niccoli , N. A. Slavnov , V. Terras

A computer aided high temperature expansion of the magnetic susceptibility and the magnetic specific heat is presented and demonstrated for frustrated and unfrustrated spin chains. The results are analytic in nature since the calculations…

强关联电子 · 物理学 2009-10-31 Alexander Buehler , Norbert Elstner , Goetz S. Uhrig

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly…

强关联电子 · 物理学 2008-03-26 S. Trebst , H. Monien , C. J. Hamer , Z. Weihong , R. R. P. Singh

The free energy density of the XX chain in magnetic field is obtained in two alternative ways within the Quantum Transfer Matrix approach. In both the cases the proofs are complete and self-consistent. All the intermediate constructions are…

统计力学 · 物理学 2025-06-04 P. N. Bibikov

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

We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the…

数学物理 · 物理学 2013-10-03 Niklas Beisert , Lucas Fievet , Marius de Leeuw , Florian Loebbert

For theoretical description of pseudospin systems with essential short-range and long-range interactions we use the method based on calculations of the free energy functional with taking into account the short-range interactions within the…

统计力学 · 物理学 2019-05-21 R. R. Levitskii , S. I. Sorokov , O. R. Baran

In this paper we describe in detail the computation of the scattering amplitudes of massive spin-2 Kaluza-Klein excitations in a gravitational theory with a single compact extra dimension, whether flat or warped. These scattering amplitudes…

高能物理 - 唯象学 · 物理学 2020-05-25 R. Sekhar Chivukula , Dennis Foren , Kirtimaan A. Mohan , Dipan Sengupta , Elizabeth H. Simmons

A special class of S=1 spin ladder hamiltonians, with second- neighbor exchange interactions and with anisotropies in the $z$-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high…

强关联电子 · 物理学 2009-11-11 Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz
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