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

1994/08/10 by I. L. Aleǐner, I. L. Aleiner, Harold U. Baranger +2 · 1 citation
Materials Science · Physics and Astronomy · #Condensed matter physics #Density of states #Electron #Energy (signal processing) #Field (mathematics) #Magnetic field #Omega #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Spectral function #cond-mat

paper · pdf · doi:10.1103/physrevlett.74.3435

8 pages, preprint TPI-MINN-94/28-T

arxiv created 1994/08/10 · openalex publication_date 1995/04/24 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the spectral density function of a two-dimensional electron liquid in a weak magnetic field, filling factor \ensuremathν\ensuremath≫1. A hydrodynamic model for low-energy excitations of the liquid is developed. It is found that even at \ensuremathν\ensuremath≫1 the tunneling density of states exhibits a gap at low energies. Its width 2E0 depends on the strength of interaction only logarithmically, 2E0\phantom\rule0ex0ex=\phantom\rule0ex0ex(\ensuremath\Elzxh\ensuremathωc/\ensuremathν)ln(\ensuremathνe2/\ensuremathε\ensuremath\ElzxhvF). The effects of temperature and disorder on the density of states are discussed.

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