Tunneling into a Two-Dimensional Electron Liquid in a Weak Magnetic Field

I. L. Aleiner; H. U. Baranger; L. I. Glazman

doi:10.1103/PhysRevLett.74.3435

Tunneling into a Two-Dimensional Electron Liquid in a Weak Magnetic Field

I. L. Aleiner, H. U. Baranger, and L. I. Glazman

Phys. Rev. Lett. 74, 3435 – Published 24 April 1995

Abstract

We study the spectral density function of a two-dimensional electron liquid in a weak magnetic field, filling factor $ν ≫ 1$ . A hydrodynamic model for low-energy excitations of the liquid is developed. It is found that even at $ν ≫ 1$ the tunneling density of states exhibits a gap at low energies. Its width ${2 E}_{0}$ depends on the strength of interaction only logarithmically, ${2 E}_{0} = (ħ ω_{c} / ν) \ln (ν e^{2} / ɛ ħ v_{F})$ . The effects of temperature and disorder on the density of states are discussed.

Received 9 August 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.3435

Authors & Affiliations

I. L. Aleiner¹, H. U. Baranger², and L. I. Glazman¹

¹Theoretical Physics Institute, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455
²AT&T Bell Laboratories, 600 Mountain Avenue, Murray Hill, New Jersey 07974-0636