Universal scaling, beta function, and metal-insulator transitions
arXiv:cond-mat/9902231 · doi:10.1103/PhysRevLett.83.144
Abstract
We demonstrate a universal scaling form of longitudinal resistance in the quantum critical region of metal-insulator transitions, based on numerical results of three-dimensional Anderson transitions (with and without magnetic field), two-dimensional quantum Hall plateau to insulator transition, as well as experimental data of the recently discovered two-dimensional metal-insulator transition. The associated reflection symmetry and a peculiar logarithmic form of the beta function exist over a wide range in which the resistance can change by more than one order of magnitude. Interesting implications for the two-dimensional metal-insulator transition are discussed.
4 pages, REVTEX, 4 embedded figures; minor corrections to figures and text
References in corpus (16)
- Magnetic Field Suppression of the Conducting Phase in Two Dimensions
- Metal-insulator transition at B=0 in a dilute two dimensional GaAs-AlGaAs hole gas
- The Metallic-Like Conductivity of a Two-Dimensional Hole System
- Scaling theory of two-dimensional metal-insulator transitions
- Metal Insulator transition at B=0 in p-SiGe
- Metallic Phase and Metal-insulator Transition in 2d Electronic Systems
- The Anderson transition: time reversal symmetry and universality
- Superconductivity in a two-dimensional Electron Gas
- Apparent Metallic Behavior at B = 0 of a two-dimensional electron system in AlAs
- Unconventional Metallic State in Two Dimensional System With Broken Inversion Symmetry
- Metal-Insulator Transition of Disordered Interacting Electrons
- Possible triplet superconductivity in MOSFETs
- Interactions and Scaling in a Disordered Two-Dimensional Metal
- Effect of Tilted Magnetic Field on the Anomalous H=0 Conducting Phase in High-Mobility Si MOSFETs
- Phase diagram of localization in a magnetic field
- Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition
Cited by in corpus (4)
- Numerical Study of the Spin Hall Conductance in the Luttinger Model
- Scaling Behavior and Variable Hopping Conductivity in the Quantum Hall Plateau Transition
- Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
- Kosterlitz-Thouless transition in disordered two-dimensional topological insulators