Order parameter statistics in the critical quantum Ising chain
Statistical Mechanics
2009-11-13 v1
Abstract
In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of the critical quantum Ising spin chain. This is achieved through a remarkable relation to the partition function of the anisotropic Kondo problem, which can be computed by exploiting the integrability of the system.
Cite
@article{arxiv.0802.1246,
title = {Order parameter statistics in the critical quantum Ising chain},
author = {Austen Lamacraft and Paul Fendley},
journal= {arXiv preprint arXiv:0802.1246},
year = {2009}
}