Nonvanishing spin-glass transition temperature of the ± J XY model in three dimensions

Takeo Yamamoto; Takeshi Sugashima; Tota Nakamura

doi:10.1103/PhysRevB.70.184417

Nonvanishing spin-glass transition temperature of the ± J XY model in three dimensions

Takeo Yamamoto, Takeshi Sugashima, Tota Nakamura

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

13 Citations (Scopus)

Abstract

A three-dimensional ± J XY spin-glass model is investigated using the nonequilibrium relaxation method. We have introduced a criterion for the finite-time-scaling analysis. The transition temperature is estimated by a crossing point of the obtained data. The scaling analysis of the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by the relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. All results are consistent if we consider that the transition is driven by the spin degrees of freedom.

Original language	English
Article number	184417
Pages (from-to)	1-10
Number of pages	10
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	70
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevB.70.184417
Publication status	Published - 2004 Nov

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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title = "Nonvanishing spin-glass transition temperature of the ± J XY model in three dimensions",

abstract = "A three-dimensional ± J XY spin-glass model is investigated using the nonequilibrium relaxation method. We have introduced a criterion for the finite-time-scaling analysis. The transition temperature is estimated by a crossing point of the obtained data. The scaling analysis of the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by the relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. All results are consistent if we consider that the transition is driven by the spin degrees of freedom.",

author = "Takeo Yamamoto and Takeshi Sugashima and Tota Nakamura",

note = "Funding Information: . Simulations have been partly carried out at the Supercomputer Center, ISSP, The University of Tokyo. This work was supported by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan (Grant No. 15540358). The authors would like to thank Professor Fumitaka Matsubara for guiding them through the spin-glass study. One of the authors (T.N.) would like to thank Professor Hikaru Kawamura and Dr. Hajime Yoshino for their fruitful discussions with him, and Professor Nobuyasu Ito and Professor Yasumasa Kanada for providing him with a fast random number generator RNDTIK . He would also like to thank Professor Ian Campbell for pointing out the consistency of our data with those of Ref.",

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AU - Yamamoto, Takeo

AU - Sugashima, Takeshi

AU - Nakamura, Tota

N1 - Funding Information: . Simulations have been partly carried out at the Supercomputer Center, ISSP, The University of Tokyo. This work was supported by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan (Grant No. 15540358). The authors would like to thank Professor Fumitaka Matsubara for guiding them through the spin-glass study. One of the authors (T.N.) would like to thank Professor Hikaru Kawamura and Dr. Hajime Yoshino for their fruitful discussions with him, and Professor Nobuyasu Ito and Professor Yasumasa Kanada for providing him with a fast random number generator RNDTIK . He would also like to thank Professor Ian Campbell for pointing out the consistency of our data with those of Ref.

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N2 - A three-dimensional ± J XY spin-glass model is investigated using the nonequilibrium relaxation method. We have introduced a criterion for the finite-time-scaling analysis. The transition temperature is estimated by a crossing point of the obtained data. The scaling analysis of the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by the relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. All results are consistent if we consider that the transition is driven by the spin degrees of freedom.

AB - A three-dimensional ± J XY spin-glass model is investigated using the nonequilibrium relaxation method. We have introduced a criterion for the finite-time-scaling analysis. The transition temperature is estimated by a crossing point of the obtained data. The scaling analysis of the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by the relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. All results are consistent if we consider that the transition is driven by the spin degrees of freedom.

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