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Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

Condensed Matter · Physics 2007-05-23 H. G. Evertz , D. P. Landau

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

We consider the one-dimensional Ising-like fully anisotropic S=1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of transverse magnetic field $h_x$. We obtain dynamical spin…

Strongly Correlated Electrons · Physics 2009-11-07 Asimkumar Ghosh

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

Strongly Correlated Electrons · Physics 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

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…

High Energy Physics - Theory · Physics 2009-09-25 Robert A. Weston , A. H. Bougourzi

In this paper the exact solution and correlation functions for a double-chain Ising model with multi-spin interactions and symmetric Hamiltonian density are obtained. The study employs the transfer matrix method to derive fundamental…

Statistical Mechanics · Physics 2025-11-21 Pavel Khrapov , Stepan Shchurenkov

The spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions is exactly solved by establishing a precise mapping relationship with the corresponding zero-field (symmetric) eight-vertex model.…

Statistical Mechanics · Physics 2015-05-13 Jozef Strecka , Lucia Canova , Kazuhiko Minami

We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different…

Condensed Matter · Physics 2009-10-22 Vladimir E. Korepin , Anatoli G. Izergin , Fabian H. L. Essler , Denis B. Uglov

We study the finite-temperature dynamical spin susceptibility of the one-dimensional (generalized) anisotropic Heisenberg model within the hydrodynamic regime of small wave vectors and frequencies. Numerical results are analyzed using the…

Strongly Correlated Electrons · Physics 2012-09-10 J. Herbrych , R. Steinigeweg , P. Prelovšek

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

Strongly Correlated Electrons · Physics 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux

In this paper, we study the spin and energy dynamic correlations of the one dimensional spin 1/2 Heisenberg model, using mostly exact diagonalization numerical techniques. In particular, observing that the uniform spin and energy currents…

Strongly Correlated Electrons · Physics 2009-10-30 F. Naef , X. Zotos

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical…

Strongly Correlated Electrons · Physics 2022-11-24 Run-Ze Chi , Yang Liu , Yuan Wan , Hai-Jun Liao , T. Xiang

The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement with scaling. The scaling function is shown to be universal.…

Condensed Matter · Physics 2011-09-26 Laurent Frachebourg , Malte Henkel

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…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

Exactly Solvable and Integrable Systems · Physics 2011-11-10 A. I. Bugrij , O. Lisovyy

We use numerical and analytical results to construct a simple ansatz for the energy dynamical correlation function of the 1D antiferromagnetic Heisenberg model. This is applied to compute the phonon assisted absorption spectra of magnetic…

Condensed Matter · Physics 2008-06-16 J. Lorenzana , R. Eder

We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic…

Strongly Correlated Electrons · Physics 2011-06-03 Marko Znidaric

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

In this paper, we calculate entanglement in the isotropic Heisenberg model in a magnetic field on a two-dimensional rectangular zig-zag lattice in the strong rung-coupling limit, using the one-dimensional XXZ model as a proxy. Focusing on…

Quantum Physics · Physics 2024-10-08 Chandrima B. Pushpan , Harikrishnan K. J. , Prithvi Narayan , Amit Kumar Pal

We develop a finite-temperature perturbation theory for quasi-one-dimensional quantum spin systems, in the manner suggested by H.J. Schulz (1996) and use this formalism to study their dynamical response. The corrections to the random-phase…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet