First Order Green Function Theory of Ferromagnetism
スポンサーリンク
概要
- 論文の詳細を見る
A method of two-time Green function for the Heisenberg model of ferromagnet of S=1/2 is developed. The equations of motion of two kinds of Green functions G^(-) and G^(+), which are defined using commutator and anticommutator, respectively, are derived. Higher order Green functions are decoupled taking into account the anticommutability of Pauli operators at the same lattice site, giving coupled equations for G^(-) and G^(+). The solution from G^(+) are analyzed. The effect of the kinematical interaction is considered automatically, and over-all (in the entire temperature region and in the entire magnetic field region) good properties of the magnetization (which are not realized in some previous works using the first-order decoupling) are obtained. Inverse curie temperature, Jβ_c, is 0.398 and the critical index of the magnetization is 1/2. Several previous theories of the first-order are rederived and analyzed from a unified point of view.
- 社団法人日本物理学会の論文
- 1968-07-05
著者
-
Katsura Shigetoshi
Department Of Applied Physics Tohoku University
-
Katsura Shigetoshi
Department Of Applied Physics Faculty Of Engineering Tohoku University
-
Horiguchi Tsuyoshi
Department Of Applied Science Faculty Of Engineering Tohoku University
-
Horiguchi Tsuyoshi
Department Of Physics Tohoku University
関連論文
- Critical Properties of a Spin_3/2Ising Model on a Square Lattice
- Spin Models for Packet Routing Control in Computer Networks
- Complex Networks by Non-growing Model with Preferential Rewiring Process(Cross-disciplinary Physics and Related Areas of Science and Technology)
- Sequence Processing Neural Network with Q-States Monotonic Transfer Function
- Ordering of a Frustrated Spin S Ising Model as a Roughening Transition in SOS Model
- Numerical Simulations for Two-Dimensional Traffic-Flow Problem
- Calculation of the Electronic Density of States and the Electric Conductivity of Random Alloys in the Coherent potential Approximation
- Pseudo-Temperature Monte Carlo Simulation for Ground State of Antiferromagnetic Spin-S Ising Model on Triangular Lattice
- Spin-3/2 Ising Model and Ashkin-Teller Model
- Nonlinear Susceptibility in the Spin Glass
- Dynamical Neural Network Model of Hippocampus with Excitatory and Inhibitory Neurons (Cross-disciplinary Physics and Related Areas of Science and Technology)
- Noise Effect on Memory Recall in Dynamical Neural Network Model of Hippocampus
- Coherent-Anomaly Analysis with Cluster Variation Method for Two-Dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions
- Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice
- Coherent-Anomaly Analysis with Cluster Variation Method for Spin-Pair Correlation Function of Ising Model on Square Lattice
- Coherent-Anomaly Method for the Wave-Number Dependence of the Susceptibility
- Low Temperature Properties of One-Dimensional Classical XY Model with Frustration
- Synchronous Phenomena of Neural Network Models Using Hindmarsh–Rose Equation
- Numerical Simulations for Traffic Flow in Two-Dimensional Network with Obstacles
- Unsupervised Image Segmentation Based on Bethe Approximation
- Generalization Ability of Hopfield Neural Network with Spin-S Ising Neurons : General Physics
- Low-Temperature Behaviors of Antiferromagnetic Ising Model of Infinite-Spin on Triangular Lattice
- Finite Temperature Properties of One-Dimensional Chiral XY-model
- Phase Diagrams of Spin-3/2 Ising Model on a Square Lattice in Terms of Corner Transfer Matrix Renormalization Group Method
- Low-Temperature Properties of Infinite-Spin Ising Model in One-Dimensional Lattice
- Tetradics Formulation of the Two-Time Green's Function Method and Its Application to the Heisenberg Ferromagnet
- Ising Model in Correlated Random Fields on Kagome Lattice
- Sequence Processing Neural Network with a Non-Monotonic Transfer Function : General Physics
- An Extension of Perron-Frobenius Theorem for Positive Symmetric Matrices
- Ising Model with Even-Bonds Plaquettes on the Square Lattice
- Ground State Properties of One-Dimensional Quantum Chiral XY -model
- Self-Organization in Four-Direction Traffic-Flow Model : Cross-Disciplinary Physics
- Temperature Dependence of the Spin-Pair Correlation Functions for the Heisenberg Antiferromagnet and the NMR Line Width of F^ in RbMnF_3 in the Paramagnetic Region
- Formulas for the Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
- Phase Transition in a Four-Direction Traffic Flow Model on a Two-Dimensional Network
- 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
- Models of MT and MST areas using wake-sleep algorithm
- Da Costa-Nobre-Yokoi Model with Spin S
- On-Line Learning of Two-Layered Neural Network with Randomly Diluted Connections
- Ghatak-Sherrington Model with Spin S
- 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
- 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
- Color Image Compression Algorithm Using Self-Organizing Feature Map
- Dynamical Properties of the Diluted Heisenberg and XY Magnets at Infinite Temperature. I : Spin Diffusion Constant
- Low-and High-Temperature Behaviors of Ferromagnetic Ising Model of Infinite-Spin
- Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice
- Some Remarke on the Condensation Phenomena.
- Optimal Network Structure for Packet Flow in Shortest-Path Routing Control Model
- Universality Class for Spin Model With Generalized Ising Spin on One-Dimensional Lattice : Progress Letters
- 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
- Note on the Susceptibility of the Two-Dimensional Heisenberg Ferromagnet
- Probabilistic, Iterated and Quantum-Iterated Computational Methods in Gray-Level Image Restoration
- Lattice Green's Function for the Simple Cubic Lattice
- 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
- Optimal Network Structure for Packet Flow in Shortest-Path Routing Control Model
- Spin Models for Packet Routing Control in Computer Networks
- Fully Frustrated Ising Model on a Square Lattice