Abstract
Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, Tsg ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/Tsg. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.
| Original language | English |
|---|---|
| Pages (from-to) | 42-45 |
| Number of pages | 4 |
| Journal | Progress of Theoretical Physics Supplement |
| Volume | 157 |
| Publication status | Published - 2005 |
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Cite this
Nonequilibrium relaxation analysis of the spin-glass correlation length. / Nakamura, Tota; Yamamoto, Takeo.
In: Progress of Theoretical Physics Supplement, Vol. 157, 2005, p. 42-45.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonequilibrium relaxation analysis of the spin-glass correlation length
AU - Nakamura, Tota
AU - Yamamoto, Takeo
PY - 2005
Y1 - 2005
N2 - Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, Tsg ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/Tsg. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.
AB - Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, Tsg ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/Tsg. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.
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M3 - Article
VL - 157
SP - 42
EP - 45
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
ER -