The one-dimensional X-Y model in inhomogeneous magnetic fields

1 June 1973

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 14 (6) , 720-732
https://doi.org/10.1063/1.1666385

Abstract

The one‐dimensional X ‐ Y model in various kinds of inhomogeneous magnetic fields is analyzed. In each case we find the spectrum and eigenfunctions of the system, and study the equilibrium and relaxation behavior of the magnetization at any spin site.

Keywords

This publication has 10 references indexed in Scilit:

Two soluble models of an antiferromagnetic chain
Published by Elsevier ,2004
Some exact calculations on a chain of spins 12
Published by Elsevier ,2002
Dynamics of a Local Perturbation in the XY Model. I—Approach to Equilibrium
Studies in Applied Mathematics, 1971
Isotropic X-Y chain in an inhomogeneous magnetic field
Physica, 1971
Statistical Mechanics of the $XY$ Model. I
Physical Review A, 1970
Spin Correlation Functions of the $X - Y$ Model
Physical Review B, 1968
Some exact calculations on a chain of spins 12 II
Physica, 1968
Statistical Mechanics of the Anisotropic Linear Heisenberg Model
Physical Review B, 1962
Neutron Transport with Anisotropic Scattering
Nuclear Science and Engineering, 1961
Elementary solutions of the transport equation and their applications
Annals of Physics, 1960