Weak universality of spin-glass transitions in three-dimensional ±J models

Tota Nakamura; Shin Ichi Endoh; Takeo Yamamoto

doi:10.1088/0305-4470/36/43/015

Weak universality of spin-glass transitions in three-dimensional ±J models

Tota Nakamura, Shin Ichi Endoh, Takeo Yamamoto

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

We find the possibility of weak universality of spin-glass phase transitions in three-dimensional ±J models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents γ/ν ∼ 2.4. Evaluated critical exponents may explain the corresponding experimental results. The analyses are based upon nonequilibrium relaxation from a paramagnetic state and finite-time scaling.

Original language	English
Pages (from-to)	10895-10906
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	36
Issue number	43
DOIs	https://doi.org/10.1088/0305-4470/36/43/015
Publication status	Published - 2003 Oct 31
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/36/43/015

Cite this

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abstract = "We find the possibility of weak universality of spin-glass phase transitions in three-dimensional ±J models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents γ/ν ∼ 2.4. Evaluated critical exponents may explain the corresponding experimental results. The analyses are based upon nonequilibrium relaxation from a paramagnetic state and finite-time scaling.",

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AB - We find the possibility of weak universality of spin-glass phase transitions in three-dimensional ±J models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents γ/ν ∼ 2.4. Evaluated critical exponents may explain the corresponding experimental results. The analyses are based upon nonequilibrium relaxation from a paramagnetic state and finite-time scaling.

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Weak universality of spin-glass transitions in three-dimensional ±J models

Abstract

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