Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line
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概要
- 論文の詳細を見る
The Griffiths inequalities for Ising spin glasses are proved on the Nishimori line with various bond randomnesses including Gaussian and $\pm J$ bond randomnesses. The proof for Ising systems with Gaussian bond randomness has already been carried out by Morita et al., which uses not only the gauge theory but also the properties of the Gaussian distribution, so that it cannot be directly applied to the systems with other bond randomnesses. The present proof essentially uses only the gauge theory, so that it does not depend on the detailed properties of the probability distribution of random interactions. Thus, the results obtained from the inequalities for Ising systems with Gaussian bond randomness also hold for those with various bond randomnesses, particularly $\pm J$ bond randomness.
- Physical Society of Japanの論文
- 2009-04-15
著者
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Kitatani Hidetsugu
Department Of Electrical Engineering Nagaoka University Of Technology
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Kitatani Hidetsugu
Department of General Education, Nagaoka University of Technology, Nagaoka, Niigata 940-2188
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- The Nature of the Specific Heat of Ising Spin Glass
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- Some Properties of Eigenvalues and Eigenfunctions for Finite Systems on the Antiferromagnetic Heisenberg Model
- The Cluster Decomposition Approach to Finite Quantum Spin Systems
- Spin Wave Theory for a Frustrated Antiferromagnetic Heisenberg Model on a Square Lattice
- The Critical Exponent v along the Ferromagnetic-Nonferromagnetic Phase Boundary in the Two-Dimensional ±-J Ising Model
- Dimer State in Quantum Spin Systems
- The Critical Exponent η of the Three-Dimensional ±Jlsing Model by the Transfer Matrix Method
- The Nature of the Specific Heat of Ising Spin Glass
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