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We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to…

高能物理 - 理论 · 物理学 2009-09-25 Robert A. Weston , A. H. Bougourzi

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

强关联电子 · 物理学 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

Considering the adjacent spin operators $S^z_jS^z_{j+1}$ and $S^-_jS^-_{j+1}$ in the S=1/2 Heisenberg chain, we give a determinant representation of their form factors. The dynamical structure factors of the respective operators are…

强关联电子 · 物理学 2012-03-27 Antoine Klauser , Jorn Mossel , Jean-Sébastien Caux

We present a study of the dynamic structure factor of the antiferromagnetic spin-1/2 Heisenberg chain at finite temperatures and finite magnetic fields. Using Quantum-Monte-Carlo based on the stochastic series expansion and Maximum-Entropy…

强关联电子 · 物理学 2009-11-13 S. Grossjohann , W. Brenig

The dynamical properties of the S=1/2 antiferromagnetic XXZ chain are studied by the exact diagonalization and the recursion method of finite systems up to 24 sites. Two types of the exchange interaction are considered: one is the…

强关联电子 · 物理学 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

Inelastic neutron scattering experiments are commonly used to unveil how excitations on Heisenberg spin models play a role in dynamical correlations functions. For a certain class of materials, like CsCoCl$_3$ or CsCoBr$_3$ salts, it turns…

强关联电子 · 物理学 2020-05-22 Isaac Pérez Castillo

Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the…

强关联电子 · 物理学 2011-02-03 Zhaoxin Xu , Heping Ying , Xin Wan

The static structure factor S(q) of frustrated spin-1/2 chains with isotropic exchange and a singlet ground state (GS) diverges at wave vector q_m when the GS has quasi-long-range order (QLRO) with periodicity 2\pi/q_m but S(q_m) is finite…

强关联电子 · 物理学 2014-05-08 Manoranjan Kumar , Aslam Parvej , Z. G. Soos

The dynamic spin structure factor $\mathcal{S}(k,\omega)$ of a system of spin-1/2 bosons is investigated at arbitrary strength of interparticle repulsion. As a function of $\omega$ it is shown to exhibit a power-law singularity at the…

量子气体 · 物理学 2013-05-29 M. B. Zvonarev , V. V. Cheianov , T. Giamarchi

We compute by means of the Bethe Ansatz the boundary S matrix for the open anisotropic spin-1/2 chain with diagonal boundary magnetic fields in the noncritical regime (Delta > 1). Our result, which is formulated in terms of q-gamma…

高能物理 - 理论 · 物理学 2008-11-26 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

We investigate the critical behavior of a spin chain coupled to bosonic baths characterized by a spectral density proportional to $\omega^s$, with $s>1$. Varying $s$ changes the effective dimension $d_\text{eff} = d + z$ of the system,…

统计力学 · 物理学 2012-06-13 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

强关联电子 · 物理学 2009-10-31 Mamoru Usami , Sei-ichiro Suga

We study the one-dimensional S=1 XXZ spin model with single-ion anisotropy. It is known that at the transition points between the Haldane and large-D phases, the model exhibits a quantum criticality described by the Gaussian theory, i.e., a…

强关联电子 · 物理学 2026-03-27 Toshiya Hikihara , Akira Furusaki

Motivated by recent experiments, we investigate the spin-1/2 XXZ model on the triangular lattice with strong Ising anisotropy, combining large-scale numerical simulations and analytical methods to uncover unconventional spin dynamics.…

强关联电子 · 物理学 2025-11-26 Rafael Flores-Calderón , Roderich Moessner , Frank Pollmann

All eigenstates and eigenvalues are determined for the spin- 1/2 $XXZ$ chain $H = 2J \sum_i ( S_{i}^{x} S_{i + 1}^{x} + S_{i}^{y} S_{i + 1}^{y} + \Delta S_i^z S_{i + 1}^{z})$ for rings with up to N=16 spins, for anisotropies $\Delta=0 ,…

统计力学 · 物理学 2016-08-31 Klaus Fabricius , Ute Löw , Joachim Stolze

Determinant representations of form factors are used to represent the spontaneous magnetization of the Heisenberg XXZ chain (Delta >1) on the finite lattice as the ratio of two determinants. In the thermodynamic limit (the lattice of…

solv-int · 物理学 2018-08-30 A. G. Izergin , N. Kitanine , J. M. Maillet , V. Terras

The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

其他凝聚态物理 · 物理学 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the…

强关联电子 · 物理学 2016-08-23 Benedikt Bruognolo , Andreas Weichselbaum , Jan von Delft , Markus Garst

We study the dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field h, focusing in particular on the singularities at excitation energies in the vicinity of the lower thresholds of the leading-order dominant…

强关联电子 · 物理学 2015-10-28 J. M. P. Carmelo , P. D. Sacramento , D. K. Campbell

For the integrable spin-s XXZ chain we express explicitly any given spin-$s$ form factor in terms of a sum over the scalar products of the spin-1/2 operators. Here they are given by the operator-valued matrix elements of the monodromy…

统计力学 · 物理学 2015-05-28 Tetsuo Deguchi