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Title: Quantum Phase Transition of Two-Dimensional Diluted Heisenberg Antiferromagnet
Authors: Todo, Synge
Yasuda, Chitoshi
Kato, Kiyoshi
Harada, Kenji
Kawashima, Maoki
Miyashita, Seiji
Takayama, Hajime
Author's alias: 原田, 健自
Issue Date: 1-Jan-2000
Publisher: Oxford University Press
Journal title: Progress of Theoretical Physics Supplement
Volume: 138
Start page: 507
End page: 512
Abstract: Quantum phase transition of site-diluted and bond-diluted Heisenberg antiferromagnets on square lattices is studied. By using the novel continuous-time loop algorithm, we perform quantum Monte Carlo simulations on quite larger lattices at extremely lower temperatures than the previous numerical studies. It is found that the antiferromagnetic long-range order at T = 0 persists so long as a cluster of magnetic sites percolates, that is, the critical concentration is equal to the classical percolation threshold, in both of the site-diluted and bond-diluted cases. Furthermore, we find that some critical exponents, such as the magnetization exponent β, are non-classical and strongly depend on the spin size S. On the other hand, we show that the correlation-length exponent ν is universal and is equal to the classical value (ν=4/3).
Description: Published on behalf of Journal of the Physical Society of Japan
Rights: © The Physical Society of Japan
DOI(Published Version): 10.1143/PTPS.138.507
Appears in Collections:Journal Articles

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