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We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with…

数学物理 · 物理学 2009-02-19 A. Seel , T. Wirth

A parametrized spin model was recently introduced and intended for one-dimensional ferromagnets with a deformable Zeeman energy. This model is revisited and given more realistic interpretation in terms of a model for ferromagnetic systems…

斑图形成与孤子 · 物理学 2007-05-23 Alain M. Dikande , J. P. Nguenang

The mapping between the fermion and spinon compositions of eigenstates in the one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe the spinon interaction from two different perspectives: (i) For finite N the…

强关联电子 · 物理学 2009-11-13 Michael Karbach , Gerhard Muller , Klaus Wiele

The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the…

强关联电子 · 物理学 2015-03-13 Masanori Kohno , Mitsuhiro Arikawa , Jun Sato , Kazumitsu Sakai

The natural explanation of the excitation spectrum of the spin-1 antiferromagnetic Heisenberg chain is given from the viewpoint of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain. The energy spectrum of the latter…

凝聚态物理 · 物理学 2009-10-22 Kazuo Hida

Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac 12$ Heisenberg chain, based on the solution of the quantum inverse…

数学物理 · 物理学 2014-11-18 N. Kitanine

The subject matter of this work is a 1D quantum spin - $\frac{1}{2}$ chain associated with the inhomogeneous six-vertex model possessing an additional ${\cal Z}_r$ symmetry. The model is studied in a certain parametric domain, where it is…

高能物理 - 理论 · 物理学 2023-07-19 Gleb A. Kotousov , Sergei L. Lukyanov

We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which allows to derive the analytical expressions for probability…

量子物理 · 物理学 2024-02-01 E. B. Fel'dman , E. I. Kuznetsova , A. I. Zenchuk

The temperature dependence of the static magnetic susceptibility of exchange-disordered antiferromagnetic Heisenberg spin-1/2 finite chains with an odd number of spins is investigated as a function of size and type of disorder in the…

强关联电子 · 物理学 2009-01-29 C. M. Chaves , Thereza Paiva , J. d'Albuquerque e Castro , Belita Koiller

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

量子气体 · 物理学 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

We derive a master equation for the dynamical spin-spin correlation functions of the XXZ spin-1/2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit, we obtain their multiple integral representation.

高能物理 - 理论 · 物理学 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry.…

高能物理 - 理论 · 物理学 2007-05-23 Yasuhiro Fujii , Miki Wadati

Chains of first-order SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a olynomial pseudo-supersymmetry of the system. Simple determinant formulas for the final…

量子物理 · 物理学 2009-11-13 V. V. Shamshutdinova , Boris F. Samsonov , D. M. Gitman

We use series expansions to study the excitation spectra of spin-1/2 antiferromagnets on anisotropic triangular lattices. For the isotropic triangular lattice model (TLM) the high-energy spectra show several anomalous features that differ…

强关联电子 · 物理学 2009-11-11 Weihong Zheng , John O. Fjaerestad , Rajiv R. P. Singh , Ross H. McKenzie , Radu Coldea

Evolution of the z-component of a single spin in the finite cyclic XY spin 1/2 chain is studied. Initially one selected spin is polarized while other spins are completely unpolarized and uncorrelated. Polarization of the selected spin as a…

量子物理 · 物理学 2013-04-17 Evgeniy Safonov , Oleg Lychkovskiy

We present a major update on the spectrum of closed flux tubes in $D=3+1$ $SU(N)$ gauge theories. We measure the excitation spectrum of confining strings wound around a spatial dimension of a size $R$. We do so for the $SU(N)$ Yang-Mills…

高能物理 - 理论 · 物理学 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

Dynamic autocorrelations $<S_i^{\alpha}(t) S_i^{\alpha}>$ (\alpha=x,z) of an isolated impurity spin in a S=1/2 XX chain are calculated. The impurity spin, defined by a local change in the nearest-neighbor coupling, is either in the bulk or…

统计力学 · 物理学 2009-10-31 Joachim Stolze , Michael Vogel

Experimental platforms based on trapped ions, cold molecules, and Rydberg atoms have made possible the investigation of highly-nonlocal spin-${1/2}$ Hamiltonians with long-range couplings. Here, we study the effects of such non-local…

量子气体 · 物理学 2022-01-05 T. Macrì , L. Lepori , G. Pagano , M. Lewenstein , L. Barbiero

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models. Their entangled groundstates are known exactly but not their excitation spectra. We first express the groundstates in the continuum which allows for…

强关联电子 · 物理学 2017-10-25 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

We derive the dominant contribution to the large-distance decay of correlation functions for a spin chain model that exhibits both Haldane and Neel phases in its ground state phase diagram. The analytic results are obtained by means of an…

统计力学 · 物理学 2009-01-07 C. Degli Esposti Boschi , M. Di Dio , G. Morandi , M. Roncaglia