Universality classes and the Anderson transition in two dimensions (量子科学における双対性とスケール)
スポンサーリンク
概要
- 論文の詳細を見る
The Anderson transition is a disorder driven quantum phase transition between metallic and insulating phases. In contrast to the common belief that two dimensional (2D) systems are always insulating and that the Anderson transition does not occur in 2D, in certain universality classes 2D systems can be metallic. We review the recent development of the theory of the Anderson transition in 2D. There are ten universality classes: three Wigner-Dyson classes, three chiral universality classes, and four Bogoliubov-de Gennes classes. We report results for critical exponents and distributions of conductance for the symplectic universality class. We emphasize that, on the one hand, the existence of a topological insulating phase does not alter the value of the critical exponent, while on the other, it strongly affects the form of the conductance distribution at the transition.
- 2012-02-20
著者
-
Slevin Keith
Department Of Physics Faculty Of Science Toho University
-
Ohtsuki Tomi
Department Of Physics Faculty Of Science University Of Tokyo
-
Slevin Keith
Department Of Physics Osaka University
-
Kobayashi Koji
Department Of Biology Faculty Of Science Chiba University
-
Kobayashi Koji
Department Of Physics Sophia University
関連論文
- Scaling Behavior of Level Statistics in Quantum Hall Regime
- Metal-Insulator Transition in Three-Dimensional Systems with Random Phase Hopping
- Level Spacing Distribution and Δ_3-Statistics of Two Dimensional Disordered Electrons in Strong Magnetic Field
- Inverse Participation Number and Fractal Dimensionality of Electronic States in a Two Dimensional System in Strong Perpendicular Magnetic Field
- Relation between Locoregional Hyperthermic Area Detected by Contact Thermography and the Maximum Density of Tumor Stain Obtained by IV-DSA in Breast Cancer Patients
- Hair follicle dermal papilla cell lines from p53-knockout mice
- Conductance Fluctuations in Two- Dimensional Systems in Random Magnetic Fields
- Cloned cells from the murine dermal papilla have hair-inducing ability
- Electron Transport and Time-Dependent Perturbation in a Two-Dimensional Symplectic System
- Electron Transport and Time-Dependent Perturbation in a Two-Dimensional Symplectic System
- Critical Level Statistics in Two-Dimensional Disordered Electron Systems
- Hall Current Distributions in Quantum Hall Effect on Finite Cylinder Surface. II. Gate Barrier Effect
- Hall Current Distributions in Quatum Hall Effect on Finite Cylinder Surface
- Quantum Hall Conductivity and the Electronic States in Cylinder Geometry with Finite Width
- Complete Scaling Analysis of the Metal-Insulator Transition in Ge:Ga: Effects of Doping-Compensation and Magnetic Field(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
- Complete Scaling Analysis of the Metal-Insulator Transition in Ge:Ga : Effects of Doping-Compensation and Magnetic Field
- Three-Dimensional Quantum Percolation Studied by Level Statistics
- Transport Properties of Two Dimensional Electrons in Magnetic Fields with Sine-Like Modulation
- Transport in Two Dimensional Periodic Magnetic Fields
- 25aWR-11 Critical parameters from generalised multifractal analysis at the Anderson transition
- Dephasing by Time-Dependent Random Potentials
- Anderson Transition of Three Dimensional Phonon Modes
- Potential Range Dependence of Mixing of Edge States in Quantum Hall Effect
- Two-Dimensional Tight-Binding Electrons in Electric and Magnetic Fields
- Stark Ladders in a Two-Dimensional Tight-Binding Lattice
- Scaling Behavior of Level Spacing Distribution in the Lowest Landau Band of Two- Dimensional Disordered Electrons
- Exchange Coupling in NiO/Ni Double Layer Films
- Magnetic Field Induced Localization in Three Dimensional Metallic Systems
- Transport Properties of Two Dimensional Electrons in Magnetic Fields with Sine-Like Modulation
- The Involvement of Growth Hormine-Binding Protein in Altered GH-IGF Axis in IDDM
- Insulin Secretory Capacity in Relation to Resistance in Various Patients Indicating for Growth Hormone Treatment
- Microstructures of galvannealing coats plated on an iron substrate deformed by indentation
- Critical exponent for the quantum Hall plateau transition (Spectra of Random Operators and Related Topics)
- Correlation between Plasma Dynamics and Emmision of Deuteron Beam, X-Rays and Neutrons in a Plasma Focus Discharge
- Appearance of hair follicle-inducible mesenchymal cells in the rat embryo
- 25pHG-6 Finite Size Scaling Analysis of the Chalker-Coddington Model
- Synthesis and Characterization of Hydride and Carbonyl RuMo_3S_4 Cubane Clusters
- Microbiological Quality of Fermented Milk Produced by Repeated-Batch Culture(BREWING AND FOOD TECHNOLOGY)
- Universality classes and the Anderson transition in two dimensions (量子科学における双対性とスケール)
- Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model