Quantum Monte Carlo Study of Random Antiferromagnetic Heisenberg Chain
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
Abstract
Effects of randomness on the spin-1/2 and 1 antiferromagnetic Heisenberg chains are studied using the quantum Monte Carlo method with the continuous-time loop algorithm. We precisely calculated the uniform susceptibility, string order parameter, spatial and temporal correlation length, and the dynamical exponent, and obtained a phase diagram. The generalization of the continuous-time loop algorithm for the systems with higher-S spins is also presented.
Keywords
Cite
@article{arxiv.cond-mat/9803088,
title = {Quantum Monte Carlo Study of Random Antiferromagnetic Heisenberg Chain},
author = {Synge Todo and Kiyoshi Kato and Hajime Takayama},
journal= {arXiv preprint arXiv:cond-mat/9803088},
year = {2007}
}
Comments
5 pages, 2 EPS figures; to be published in "Computer Simulation Studies in Condensed Matter Physics XI," Eds. D. P. Landau and H.-B. Schuettler (Springer Verlag, Heidelberg, Berlin, 1998)