The Verticality of the Ferromagnetic-Spin Glass Phase Boundary of the ^+_-J Ising Model in the p-T Plane
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概要
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Assuming an appropriate condition, th?e verticality of the ferromagnetic-spin glassphase boundary of the : J lsing model in the p- T plane ( p is the concent?-ation of -N-Jbonds: T is the temperature) has been proved rigorously, wlaere the lattice structurecontaining the dimension of the lattice anti the range of the irtteractions ;tre arbitrary.Furt1?er, tlae existence of a spin glass phase in the p-T plane has been proved for aclass of tlte *J lsing models (whicla are defined in this paper) without anyassumptiox?.
- 社団法人日本物理学会の論文
- 1992-11-15
著者
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Kitatani Hidetsugu
Department Of Electrical Engineering Nagaoka University Of Technology
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Kitatani Hidetsugu
Department Of Sciences And Mathematics Nagaoka University
関連論文
- Ferromagnetic Transition of ±J Ising Spin Glass Model on Square Lattice
- Perturbational Method for the Numerical Evaluation of the Ground-State Energy of the Heisenberg Model
- The Nature of the Specific Heat of Ising Spin Glass
- A New Type of Argument for the Existence of an Exact Dimer Ground State in S=1/2 Quantum Heisenberg Spin Systems
- Ferromagnetic-Nonferromagnetic Phase Boundary on the Two-Dimensional ±J Ising Model
- CAM Analysis of Dimensionality Crossover
- CAM Analysis of Dimensionality Crossover
- Reentrant Phenomena in Some Ising Spin Systems-Rigorous Results and Effects of an External Field-
- The Shift Exponent of the Layered Square-Lattice Ising Models
- Inequalities for the Local Energy of Random Ising Models(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Concentration of the Multicritical Points in the ±J Ising Models
- Determination of the Critical Points of Antiferromagnetic Ising Model with Next Nearest Neighbour Interactions on the Triangular Lattice
- Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line
- The Verticality of the Ferromagnetic-Spin Glass Phase Boundary of the ^+_-J Ising Model in the p-T Plane
- Non-Universal Critical Behavior in the Ferromagnetic Transition of the ±J Ising Model
- Coherent-Anomaly Method Applied to the Quantum Heisenberg Model
- Coherent-Anomaly Method Applied to the Lattice Obtained by the Dual Transformation in the Ising Model
- Theory of the Resonating Valence Bond in Quantum Spin System
- Antiferromagnetic Triangular Ising Model with Ferromagnetic Next Nearest Neighbor Interactions : Transfer Matrix Method
- 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
- Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line