Critical exponents of the quantum phase transition in a planar antiferromagnet
Strongly Correlated Electrons
2008-02-03 v2 Statistical Mechanics
Superconductivity
High Energy Physics - Lattice
Abstract
We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z=1.018+/-0.02. The critical exponents beta, nu and eta agree within our errors with the classical 3D O(3) exponents, expected from a mapping to the nonlinear sigma model. This confirms the conjecture of Chubukov, Sachdev and Ye [Phys. Rev. B 49, 11919 (1994)] that the Berry phase terms in the planar Heisenberg antiferromagnet are dangerously irrelevant.
Keywords
Cite
@article{arxiv.cond-mat/9702077,
title = {Critical exponents of the quantum phase transition in a planar antiferromagnet},
author = {Matthias Troyer and Masatoshi Imada and Kazuo Ueda},
journal= {arXiv preprint arXiv:cond-mat/9702077},
year = {2008}
}
Comments
5 pages including 4 figures; revised version: some minor changes and added references