Spin Wave Theory for a Frustrated Antiferromagnetic Heisenberg Model on a Square Lattice
スポンサーリンク
概要
- 論文の詳細を見る
A spin wave theory for a frustrated antiferromagnetic Fleisenberg model on asquare lattice is developed using spin operators introduced by Oguchi and Flonma.Exchange integrals between nearest neighbor and next nearest neighbor are denotedby J.= pJ and J.= (1 - p)J where 0 3 p S 1, and J is a positive constant. Since theground state for 0 3 p 8 1 /3 is different from that for 1 /3 S p ! 1, they are treatedseparately. The energy, staggered magnetization and correlation functions in theground state are calculated over the whole range of p. For the special case of p=O,they are compared with Takahashi's theory. Furthermore, direct calculations forfinite lattice with 16 and 20 spins are shown for reference.Iantiferromagnetism, frustrated square lattice, spin wave theory, ground state, ll staggered magnetizationl
- 社団法人日本物理学会の論文
- 1990-09-15
著者
-
Oguchi Takehiko
Department Of Physics Tokyo Institute Of Technology
-
Oguchi Takehiko
Department Of Sciences And Mathematics Nagaoka University Of Technology
-
Kitatani Hidetsugu
Department Of Electrical Engineering Nagaoka University Of Technology
-
Oguchi Takehiko
Department Of Physics Tokyo Insitute Of Technology:the Technological University Of Nagaoka
-
Kitatani Hidetsugu
Department of Sciences and Mathematics,Nagaoka University of Technology
関連論文
- Statigtical Theory of Ferro- and Antiferromagnetism
- Random Ordered Phase for the Classical Heisenberg Spins on a Triangular Cactus Tree
- Theory of a Disordered Heisenberg Model by the Coherent Potential Approximation
- Theory of the Field Dependence of the Neel Temperature in Quasi One-Dimensional Antiferromagnets
- An Approximate Method for Incommensurate Phase Transitions and Its Application to NaNO_2
- Ferromagnetic Transition of ±J Ising Spin Glass Model on Square Lattice
- High Temperature Series Expansion of the d-Dimensional q-State Antiferromagnetic Potts Model
- Perturbational Method for the Numerical Evaluation of the Ground-State Energy of the Heisenberg Model
- Impurity Spin Orientation in a Heisenberg Ferromagnet
- Two-Magnon Bound States in a Linear Heisenberg Chain with Nearest and Next Nearest Neighbor Interactions
- Localized Magnons in Ferromagnet with Impurity Spin. I
- Monte Carlo Simulations in the Fully Frustrated Simple Cubic Ising Lattice
- The Nature of the Specific Heat of Ising Spin Glass
- Ising Model on the Bethe Lattice with Competing Interactions
- Theoretical Explanation of Magnetic Behavior of CoCl_2・2H_2O
- One-Dimensional Random Annealed Ising Spin System on the Site Model
- Pade Approximation to Ferromagnet with Anisotropic Exchange Interaction
- Theory of Magnetically Dilute Systems
- High Temperature Series Expansions of Susceptibility on the Layered Frustation Models
- 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
- Ground State of Quantum Spin Glass with Infinite Range Interactions
- Ground State of Antiferromagnetic Quantum Spin Systems on the Triangular Lattice
- The Spin Wave Theory in Antiferromagnetic Heisenberg Model on Face Centered Cubic Lattice
- Phase Transition of the Sherrington-Kirkpatrick Model
- CAM Analysis of Dimensionality Crossover
- CAM Analysis of Dimensionality Crossover
- An Improved Cluster Approximation for Antiferromagnet
- Reentrant Phenomena in Some Ising Spin Systems-Rigorous Results and Effects of an External Field-
- Generalized Susceptibilities for the Random Bond System of the Ferromagnetic and Antiferromagnetic Exchange Interactions
- The Shift Exponent of the Layered Square-Lattice Ising Models
- Paramagnetic Resonance Shift Due to Exchange Interaction
- Susceptibility of Ising Ferromagnet of Restricted Dimensionality
- Theory of a Mixture of Two Anisotropic Antiferromagnets with Different Easy Axes
- Spin Orientation of Magnetic Impurity Atom in MCl_2 Crystal (M=Fe, Co or Ni)
- Curie Temperature for Dilute Bond-Disordered Ferromagnet by the Use of Coherent Potential Approximation
- Theory of Generalized 3-State Potts Model and Antiferromagnetic Potts Model
- Spin Pair Correlation for an Isotropic Heisenberg Ferromagnet
- Random Mixtire with Competing Exchange Energies and Competing Anisotropy Energies
- Annealed Ising Ferromagnet of Binary Alloys. : I
- Theory of a Mixture of Two Anisotropic Antiferromagnets With Different Easy Axes.II
- Theory of Two-Magnon Bound States in a Two-Dimensional Antiferromagnet
- Critical Behavior of the Spin System with Anisotropic Exchange Interaction. II. : Two-Dimensional Lattice
- Monte Carlo Simulations for Linear and Non-Linear Susceptibilities of an Antiferromagnet and the Mattis Model
- Ising Model on the Twin Cayley Tree
- Magnetization of Each Site in Ising Model under Weak Field on the Cayley Tree
- 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
- Transfer Matrix and Finite-Size Scaling for the Ising Model on Two- and Three-Dimensional Lattices
- Comments on the Papers by Katsura and by Matsubara and Sakata about the Theory of Random Quenched Mixtures
- Zero-Point Spin Reduction of an Antiferromagnet
- Theory of Magnetism in Fecl_2・2H_2O. II.
- Magnetization Process of the Screw Spin Structure with Orthorhombic Anisotropy Energy
- Residual Entropy of NaH_3(SeO_3)_2
- Magnon-Exciton Bound States in Insulating Ferromagnets
- Statistical Theory of the Random Ordered Phase in Quenched Bond Mixtures
- Annealed Ising Ferromagnet of Binary Alloys.II
- Application of Real-Space Renormalization Group Theory to a Triangular Ising Lattice
- Application of Real-Space Renormalization Group Theory to the Antiferromagnetic Potts Model
- Theory of the Ising Ferromagnet Using the Green Function Method
- Statistical Theory of the Random Ordered Phase in the Bond Model : Uniform Magnetization
- Magnetization Process in Spinel Lattice
- Theory of Two-Magnon Bound States in the Heisenberg Ferro- and Antiferromagnet
- Random Ordered Phase Characteristic of Quenched Mixtures of Ising Spins
- Curie Point in a Quenched Bond Model for the Two Dimensional Lattice
- Statistical Theory of the Random Ordered Phase in a Bethe Lattice
- Theory of Critical Magnetic Scattering of Neutrons by Ferromagnet and Antiferromagnet
- A Theory of Antiferromagnetism, II
- Critical Behavior of Dilute Ferromagnetism
- One-Dimensional Ising Model with General Spin
- Theory of Magnetism in FeCl_2・2H_2O
- Critical Behavior of the Spin System with Anisotropic Exchange Interactions. I.
- High Temperature Series Expansion of Staggered Susceptibillity of the Three-State Antiferromagnetic Potts Model on d-Dimensional Hypercubic Lattices
- Phenomenological Theory of the Random Ordered Phase
- Statistical Theory of the Random Ordered Phase in the Site Model
- Random Mixtures in Annealed and Quenched Ising Bond Model
- Note on the Ferromagnetic Resonance Absorption
- Theory on the Two-and Three-Dimensional Ising Model with Periodically Distributed Frustrations
- The Nature of the Specific Heat of Ising Spin Glass
- Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line
- Theory of Random Mixtures of Ising Spins
- Theoretical Investigation of Magnetization Process in CoCl_2・2H_2O