Publication: Elementary excitations and the phase transition in the bimodal Ising spin glass model
Issued Date
2012-01-01
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ISSN
17425468
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2-s2.0-84856933088
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Mahidol University
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SCOPUS
Bibliographic Citation
Journal of Statistical Mechanics: Theory and Experiment. Vol.2012, No.1 (2012)
Suggested Citation
N. Jinuntuya, J. Poulter Elementary excitations and the phase transition in the bimodal Ising spin glass model. Journal of Statistical Mechanics: Theory and Experiment. Vol.2012, No.1 (2012). doi:10.1088/1742-5468/2012/01/P01010 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/14059
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Title
Elementary excitations and the phase transition in the bimodal Ising spin glass model
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Abstract
We show how the nature of the phase transition in the two-dimensional bimodal Ising spin glass model can be understood in terms of elementary excitations. Although the energy gap with the ground state is expected to be 4J in the ferromagnetic phase, a gap 2J is in fact found if the finite lattice is wound around a cylinder of odd circumference L. This 2J gap is really a finite size effect that should not occur in the thermodynamic limit of the ferromagnet. The spatial influence of the frustration must be limited and not wrap around the system if L is large enough. In essence, the absence of 2J excitations defines the ferromagnetic phase without recourse to calculating the magnetization or investigating the system response to domain wall defects. This study directly investigates the response to temperature. We also estimate the defect concentration where the phase transition to the spin glass state occurs. The value p c = 0.1045(11) is in reasonable agreement with the literature. © 2012 IOP Publishing Ltd and SISSA.