THE ANOMALOUS DIFFUSION IN HIGH MAGNETIC FIELD AND THE QUASIPARTICLE DENSITY OF STATES

Abstract

We consider a disordered two-dimensional electronic system in the limit of high magnetic field at the metal-insulator transition. Density of states close to the Fermi level acquires a divergent correction to the lowest order in electron-electron interaction and shows a new power-law dependence on the energy, with the power given by the anomalous diffusion exponent $\eta$. This should be observable in the tunneling experiment with double-well GaAs heterostructure of the mobility $\propto 10^{4}V/s$ at temperatures of $\propto 10mK$ and voltages of $\propto 1\mu V$.

12 pages, LATEX, one figure available at request, accepted for publication in Phys. Rev. B

References in corpus (4)

• Relation between the Correlation Dimensions of Multifractal Wavefunctions and Spectral Measures in Integer Quantum Hall Systems
• Tunneling Between Two-Dimensional Electron Gases in a Strong Magnetic Field
• Interactions, Localization, and the Integer Quantum Hall Effect
• The Quantum Hall Effect in Drag: Inter-layer Friction in Strong Magnetic Fields