Theory of Spin Glass by the Method of the Distribution Function of an Effective Field
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概要
- 論文の詳細を見る
The theory of the random Ising model formulated in terms of the distribution function of the effective field in the pair and in the cluster approximations is reviewed. An integral equation for the distribution function is derived. The integral equation has a solution for the paramagnetic state, a solution for the ferromagnetic state, a solution for the antiferromagnetic state, and solutions for the spin glass state. The phase diagram, and the ground state energy and entropy are calculated. The ground state entropy of the model is shown to be a small positive quantity contrary to the Sherrington-Kirkpatrick infinitely long-ranged model. The phase diagram derived from the cluster approximation well explains the experimental phase diagrams, in particular, of fcc spin glass and the spin glass of Eu_pSr_<1-p>S. The distribution function for the spin glass in the pair approximation at T=0 with a continuous distribution is obtained analytically. They are composed of δ-functions or of δ-functions and a quadratic continuous function.
- 理論物理学刊行会の論文
- 1987-01-20
著者
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Katsura Shigetoshi
Department Of Applied Physics Faculty Of Engineering Tohoku University
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Katsura Shigetoshi
Department Of Applied Physics Tohoku University : Faculty Of Science And Engineering Tokyo Denki Uni
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KATSURA Shigetoshi
Department of Applied Physics, Tohoku University : Faculty of Science and Engineering, Tokyo Denki University
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KATSURA Shigetoshi
Faculty of Science and Engineering, Tokyo Denki University : Tohoku College of Engineering and Information Sciences
関連論文
- Nonlinear Susceptibility in the Spin Glass
- Tetradics Formulation of the Two-Time Green's Function Method and Its Application to the Heisenberg Ferromagnet
- Ground State and the Magnetization Process of the Body-Centered Tetragonal Lattice with Ising Spins
- The Ground State of the Ising Model of the Simple Cubic Lattice with First, Second and Third Neighbor Interactions
- Ground States of the Ising Model of the Linear Chain of S=1 with J_1 and J_2 and of S=1 / 2 with J_1, J_2 and J_3
- First Order Green Function Theory of Ferromagnetism
- Magnetic Phase Diagram for the Triangular Ising Lattice
- Phase Transitions and Distributions of Zeros of the Partition Functions for an Antiferromagnetic Ising Model and for a Hard Core Lattice Gas
- Diffraction of Electromagnetic Waves by Circular Plate and Circular Hole
- Distribution of Zeros of the Partition Function for the Slater Model of Ferroelectricity
- Asymptotic Form of the Lattice Green's Function of the Simple Cubic Lattice
- Point of Condensation and the Volume Dependency of the Cluster Integrals
- Distribution of Zeros of the Partition Function of the Ising Model
- Critical Field of the Heisenberg Model at Zero Temperature
- Susceptibility and Specific Heat in the Glass-Like Phase : Cumulant Expansion to the Random Bond Ising Model
- Theory of Spin Glass by the Method of the Distribution Function of an Effective Field
- Integral Kernel of the Spin Glass Integral Equation for the Bethe Lattice
- XY-Nature of the Fully Frustrated Ising Model on the Triangular Lattice
- Possibility of the Kosterlitz-Thouless Phase Transition in the Two Dimensional Fully Frustrated Ising Model
- Monte Carlo Simulation of the Antiferromagnetic Ising Model on the Triangular Lattice with the First and Second Neighbour Interactions
- Distribution of Zeros of the Partition Function in the Complex Temperature Plane. II
- Bethe Lattice and the Bethe Approximation
- Some Remarke on the Condensation Phenomena.
- Distribution of Roots of the Partition Function in the Complex Temperature Plane
- Asymptotic Form of the Lattice Green's Function of the Square Lattice in the Diagonal Direction
- Phase Transition of Husimi-Temperley Model of Imperfect Gas
- On the Bose-Einstein Condensation
- Cluster Sums and Related Coefficients of the Ising Model
- Annealed Ising Bond-Mixture on the Pyrite Lattices
- Diffraction of Electromagnetic Waves by Ribbon and Slit. I
- Random Mixture of the Ising Magnets in a Magnetic Field : Quenched Site and Bond Problems
- A Method of Determining the Orderings of the Ising Model with Several Neighbor Interactions under the Magnetic Field and Applications to Hexagonal Lattices