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Springer proceedings in physics

A Hybrid Monte-Carlo Spin-Dynamics Method and Its Applications to the ±J Heisenberg Models in Three Dimensions

Fumitaka Matsubara, Taketoshi Iyota, Sakari Inawashiro

Published Jan 1, 1992• 0 citations
Publisher
DOI
10.1007/978-3-642-84821-6_40

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We study the phase transition of the ±J\pm J±J Heisenberg model in three dimensions. Using a dynamical simulation method that removes a drift of the system, the existence of the spin-glass (SG) phase at low temperatures is suggested. The transition temperature is estimated to be TSG∼0.18JT_{\rm SG} \sim 0.18JTSG​∼0.18J from both equilibrium and off-equilibrium Monte-Carlo simulations. Our result contradicts the chirality mechanism of the phase transition reported recently by Kawamura which claims that it is not the spins but the chiralities of the spins that are ordered in Heisenberg SG systems.