A Challenge for Critical Point of Spin Glass in Ground State

• OHZEKI Masayuki

  Department of Systems Science, Graduate School of Informatics, Kyoto University

抄録

We show several calculations to identify the critical point in the ground state in random spin systems including spin glasses on the basis of the duality analysis. The duality analysis is a profound method to obtain the precise location of the critical point in finite temperature even for spin glasses. We propose a single equality for identifying the critical point in the ground state from several speculations. The equality can indeed give the exact location of the critical points for the bond-dilution Ising model on several lattices and provides insight on further analysis on the ground state in spin glasses.

収録刊行物

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 19 (1), 65-71, 2013

  東北大学大学院情報科学研究科ジャーナル編集委員会

キーワード

• spin glass
• ground state
• frustration
• percolation
• critical point
• duality

詳細情報

• CRID: 1390282679413563008
• NII論文ID: 110009795577
• NII論文ID: 120005428614
• NII書誌ID: AA11032627
• DOI: 10.4036/iis.2013.65
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/57195
• Web Site: https://tohoku.repo.nii.ac.jp/records/41851
• 本文言語コード: en
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