Theory of Hall Effect. II : Bloch Electrons
スポンサーリンク
概要
- 論文の詳細を見る
A theory of the Hall effect for Bloch electrons in a weak magnetic field is developed on the base of the Kubo formula. By the use of the modified Bloch functions of Luttinger and Kohn, gauge-invariant expressions are obtained and are first applied to the random lattice problem in a metallic region. Applications are then made to the systematic treatment of interband matrix elements of the current operator, magnetic field and scattering potential in a simple model of periodic potential of one-dimensional weak cosine type. Simple discussions are also made on the strongly correlated electron system. In the case where small number of electrons or holes contribute to the conduction, the proportionality of the inverse of the Hall coefficient not to the number density but to the volume of momentum space occupied by these particles is revealed.
- 理論物理学刊行会の論文
- 1969-12-25
著者
関連論文
- Theoretical Study on Superconductivity in Boron-Doped Diamond(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Ligand Energy Controls the Heme-Fe Valence in Aqueous Myoglobins
- Theory of Impurity Bands in Magnetic Fields. : II. Transport Properties
- Theory of Impurity Bands in Magnetic Fields. : I. Magnetic Susceptibility
- The Ground States of (R_1,R_2-DCNQI)_2Cu Systems
- Effect of Local Inhomogeneity on Nucleation;Case of Charge Density Wave Depinning
- Single-Component Molecular Metals as Multiband π-d Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Spin Excitations and Momentum Distribution in the Two-Dimensional Extended t-J Model
- Ground-State Properties of Two-Dimensional t-t'-J Model
- Collapse of Quantized Conductance in a Mesoscopic Tomonaga-Luttinger Liquid
- Magnetoresistance in a Half-Filled Landau Level
- Massless Fermions in Organic Conductor(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Impurity Induced Antiferromagnetism in Spin-1/2 Heisenberg Two-Leg Ladder Systems
- Antiferromagnetic Long Range Order in Disordered Spin-Peierls Systems
- Magnetic Properties of Extended t-J Model. II. Dynamical Properties
- Tunneling Processes of a Heavy Particle Coupled to Metallic Electron Systems
- Tunneling Processes of a Heavy Particle Coupled to Electron Systems
- Spin Excitations of the Extended t-J Model : Neutron Scattering
- Magnetic Properties of Extended t-J Model. I. Static Properties
- Nonmagnetic Impurities in Spin Gap Systems
- Strongly Correlated Electrons in Molecular Systems : Fascinations in p-d Systems(Interaction and Nanostructural Effects in Low-Dimensional Systems)
- Dynamic Susceptibility and Phonon Anomalies in the Bilayer t-J Model
- Electorical Conductivity of Interacting Fermions. : II.Effects of Normal Scattering Processes in the Presence of Umklapp Scattering Processes
- On the Spin Gap Phase in λ-(BETS)_2GaX_zY_4-z
- Effects of Low Energy Excitations in SNS Junction on the Dynamics of Josephson Phase
- Backward Scattering and Coexistent State in Two-Dimensional Electron System
- Towards the Mott Transition in One Dimension
- Hall Effect and Orbital Diamagnetism in Zerogap State of Molecular Conductor α-(BEDT-TTF)_2I_3(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Perisistent Current of Dirac Sea : Application to Bismuth
- Electronic States of Conducting Organicκ-(BEDT-TTF)_2X
- Interrelationship among Electronic States of α-(ET)_2I_3, (ET)_2MHg(SCN)_4 and k-(ET)_2X
- On the Phase Transition of α-(ET)_2I_3
- Phase Diagram of Two-Dimensional Organic Conductors : (BEDT-TTF)_2X
- Charge Excitations in Doped Mott Insulator in One Dimension
- Reply to Comment by Farid
- Galvanomagnetic Effects in Impurity Band Conductions
- Effects of the Backward Scattering in Two-Dimensional Electron System
- Interband Effects on Magnetic Susceptibility. : II. Diamagnetism of Bismuth
- Interband Effect on Magnetic Susceptibility. : I. A Simple Two-Band Model
- Infrared Optical Conductivity in Superconducting State with Mixed Symmetry Gap Function
- Dimensionality of Density Fluctuations and the Excitonic Phase of Electron-Hole Systems in Strong Magnetic Fields
- Fluctuations of Josephson Currents and Persistent Currents in Mesoscopic Spin Glass Systems
- Theory of Upper Critical Field of Superconducting Alloys
- Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Effects of Long-Range Coulomb Interaction on Resistivity of a Quantum Wire
- g-on Mean Field Theory of the t-J Model
- Weak Field Magnetoresistance in Quasi-One-Dimensional Systems
- Magnetic Excitations in Disordered Spin-Peierls Systems
- Theory of Ultrasonic Attenuation in Semimetals in Strong Magnetic Field
- Effects of Umklapp Scattering on Electronic States in One Dimension
- Macroscopic Quantum Tunneling of a Domain Wall in a Ferromagnetic Metal
- Electrical Conductivity of Interacting Fermions.I.General Formulation
- Charge Ordering and Spin Gap in NaV_2O_5
- Frustrated Spin System in θ-(BEDT-TTF)_2RbZn (SCN)_4
- Antiferromagnetic Phases of One-Dimensional Quarter-Filled Organic Conductors
- (DCNQI)_2Cu : A Luttinger-Peierls System
- Surface Magnetism of f.c.c. Heisenberg Ferromagnets. II. : Magnetic Field Dependence
- Effects of Charge Density Modulation on Incommensurate Antiferromagnetism:Ginzburg-Landau Study
- Excitonic Instability and Ultrasonic Attenuations in Strong Magnetic Fields
- A Quantum Theory of Galvanomagnetic Effect in Metals with Magnetic Breakdown. I
- Wave Character of the Time Dependent Ginzburg Landau Equation and the Fluctuating Pair Propagator in Superconductors
- Theory of Hall Effect. II : Bloch Electrons
- Fluctuation of the Order Parameter and Hall Effect
- Theory of Hall Effect. I : Nearly Free Electron
- Hall Effect and Orbital Magnetism of Binary Alloys
- Electronic States of (DCNQI)_2Cu
- Surface Magnetism of f.c.c. Heisenberg Ferromagnets. I. : Temperature and Spatial Dependences of Magnetization
- Effects of Magnetic Field on Josephson Current in SNS System
- Hall Effect in Excitonic Insulator