Classical Correlation-Length Exponent in Non-Universal Quantum Phase Transition of Diluted Heisenberg Antiferromagnet

Abstract

Critical behavior of the quantum phase transition of a site-diluted Heisenberg antiferromagnet on a square lattice is investigated by means of the quantum Monte Carlo simulation with the continuous-imaginary-time loop algorithm. Although the staggered spin correlation function decays in a power law with the exponent definitely depending on the spin size $S$, the correlation-length exponent is classical, i.e., $\nu =4/3$. This implies that the length scale characterizing the non-universal quantum phase transition is nothing but the mean size of connected spin clusters.

4 pages, 3 figures

References in corpus (4)

• Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice
• The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures
• Effective Field Theory for Layered Quantum Antiferromagnets with Non-Magnetic Impurities
• Spin Dependence of the Critical Concentration for the Neel State of 2D Impure Heisenberg Antiferromagnets

Cited by in corpus (4)

• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Site-Dilution-Induced Antiferromagnetic Long-Range Order in Two-Dimensional Spin-Gapped Heisenberg Antiferromagnet
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets