Bloch-Redfield theory of high-temperature magnetic fluctuations in interacting spin systems
Statistical Mechanics
2013-03-28 v1 Strongly Correlated Electrons
Abstract
We study magnetic fluctuations in a system of interacting spins on a lattice at high temperatures and in the presence of a spatially varying magnetic field. Starting from a microscopic Hamiltonian we derive effective equations of motion for the spins and solve these equations self-consistently. We find that the spin fluctuations can be described by an effective diffusion equation with a diffusion coefficient which strongly depends on the ratio of the magnetic field gradient to the strength of spin-spin interactions. We also extend our studies to account for external noise and find that the relaxation times and the diffusion coefficient are mutually dependent.
Keywords
Cite
@article{arxiv.1201.6316,
title = {Bloch-Redfield theory of high-temperature magnetic fluctuations in interacting spin systems},
author = {Andrew Sykes and Dmitry Solenov and Dmitry Mozyrsky},
journal= {arXiv preprint arXiv:1201.6316},
year = {2013}
}