QUANTUM MONTE CARLO STUDY OF SITE-DILUTED HEISENBERG ANTIFERROMAGNET ON A SQUARE LATTICE

S. Todo (), K. Kato, H. Takayama, K. Harada, N. Kawashima and S. Miyashita
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S. Todo: Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan
K. Kato: Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan
H. Takayama: Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan
K. Harada: Department of Applied Analysis and Complex Dynamical Systems, Kyoto University, Kyoto 606-8501, Japan
N. Kawashima: Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397, Japan
S. Miyashita: Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 08, 1399-1407

Abstract: Ground-state phase transition of site-diluted Heisenberg antiferromagnets on a square lattice is studied. By using the continuous-time loop algorithm, we perform large-scale quantum Monte Carlo simulation on large systems at quite low temperatures. It is found that the critical concentration of magnetic sites is independent of the spin sizeS, and equal to the classical percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. It is found that the transition is not universal, i.e., the critical exponents depend on the spin sizeS.

Keywords: Two-Dimensional Heisenberg antiferromagnet; Site dilution; Quantum phase transition; Percolation; Quantum Monte Carlo method (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199001170

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