Nonequilibrium relaxation analysis of the spin-glass correlation length

Tota Nakamura; Takeo Yamamoto

doi:10.1143/PTPS.157.42

Nonequilibrium relaxation analysis of the spin-glass correlation length

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

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, T_sg ≃ 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/T_sg. 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
DOIs	https://doi.org/10.1143/PTPS.157.42
Publication status	Published - 2005

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1143/PTPS.157.42

Fingerprint Dive into the research topics of 'Nonequilibrium relaxation analysis of the spin-glass correlation length'. Together they form a unique fingerprint.

Cite this

@article{6818171afd4b4155ba137f50c158a31b,

title = "Nonequilibrium relaxation analysis of the spin-glass correlation length",

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.",

author = "Tota Nakamura and Takeo Yamamoto",

year = "2005",

doi = "10.1143/PTPS.157.42",

language = "English",

volume = "157",

pages = "42--45",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=22144492613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22144492613&partnerID=8YFLogxK

U2 - 10.1143/PTPS.157.42

DO - 10.1143/PTPS.157.42

M3 - Article

AN - SCOPUS:22144492613

VL - 157

SP - 42

EP - 45

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

ER -

Nonequilibrium relaxation analysis of the spin-glass correlation length

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this