Many body localization in Heisenberg XXZ magnet in a random field
Quantum Physics
2008-03-19 v2 Strongly Correlated Electrons
Abstract
We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field. We find that tDMRG simulations of time evolution can be performed efficiently, namely the dimension of matrices needed to efficiently represent the time-evolution increases linearly with time and entanglement entropies for typical chain bipartitions increase logarithmically. As a result, we show that for large enough random fields infinite temperature spin-spin correlation function displays exponential localization in space indicating insulating behavior of the model.
Keywords
Cite
@article{arxiv.0706.2539,
title = {Many body localization in Heisenberg XXZ magnet in a random field},
author = {Marko Znidaric and Tomaz Prosen and Peter Prelovsek},
journal= {arXiv preprint arXiv:0706.2539},
year = {2008}
}
Comments
6 pages, 5 PS figures; v2: few minor changes, one additional figure