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 | |
| Publication status | Published - 2003 Oct 31 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Weak universality of spin-glass transitions in three-dimensional ±J models. / Nakamura, Tota; Endoh, Shin Ichi; Yamamoto, Takeo.
In: Journal of Physics A: Mathematical and General, Vol. 36, No. 43, 31.10.2003, p. 10895-10906.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Weak universality of spin-glass transitions in three-dimensional ±J models
AU - Nakamura, Tota
AU - Endoh, Shin Ichi
AU - Yamamoto, Takeo
PY - 2003/10/31
Y1 - 2003/10/31
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0242594540&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0242594540&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/36/43/015
DO - 10.1088/0305-4470/36/43/015
M3 - Article
VL - 36
SP - 10895
EP - 10906
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 43
ER -