Effects of random fields on the dynamics of the one-dimensional quantum XXZ model

TL;DR

This paper investigates how random fields influence the dynamics of the one-dimensional quantum XXZ model, revealing a crossover from collective to disordered behavior depending on the field distribution and anisotropy.

Contribution

It provides a detailed analysis of the dynamical behavior under various random field distributions and anisotropy parameters using the recurrence relations method.

Findings

Crossover between collective-mode and central-peak behavior at small anisotropy.

Disordered behavior dominates at large anisotropy or high standard deviation.

Similar dynamics observed for Gaussian and double-Gaussian distributions at small standard deviation.

Abstract

The dynamics of the one-dimensional spin-1/2 quantum XXZ model with random fields is investigated by the recurrence relations method. When the fields satisfy the bimodal distribution, the system shows a crossover between a collective-mode behavior and a central-peak one with increasing field while the anisotropy parameter {\Delta} is small; a disordered behavior replaces the crossover as {\Delta} increases. For the cases of Gaussian and double-Gaussian distributions, when the standard deviation is small, the results are similar to that of the bimodal distribution; while the standard deviation is large enough, the system only shows a disordered behavior regardless of {\Delta}.