Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration of magnetic sites is independent of the spin size S, and equal to the two-dimensional percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. Furthermore, we found that the transition is not universal, i.e., the critical exponents significantly depend on S.
Keywords
Cite
@article{arxiv.cond-mat/9905379,
title = {Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice},
author = {K. Kato and S. Todo and K. Harada and N. Kawashima and S. Miyashita and H. Takayama},
journal= {arXiv preprint arXiv:cond-mat/9905379},
year = {2009}
}
Comments
RevTeX, 4 pages including 5 EPS figures