Spin Correlations in the Heisenberg Linear Chain at Infinite Temperature

Abstract

This paper is concerned with the nonmonotonic frequency dependence of $S(k, \ensuremath{\omega})$, the wave-number-frequency transform of the time-dependent spin-spin correlation functions for a one-dimensional Heisenberg magnet at infinite temperature, as calculated by Carboni and Richards. It is argued that this nonmonotonic feature of $S(k, \ensuremath{\omega})$ is a one-dimensional effect, and supporting evidence is presented via a phenomenological calculation of $S(k, \ensuremath{\omega})$, utilizing the equivalence of the Heisenberg chain with a fermion system.