Coulomb gap in the one-particle density of states in three-dimensional systems with localized electrons

A. L. Efros, Brian Skinner, B. I. Shklovskii

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The one-particle density of states (1P-DOS) in a system with localized electron states vanishes at the Fermi level due to the Coulomb interaction between electrons. The derivation of the Coulomb gap uses stability criteria of the ground state. The simplest criterion is based on the excitonic interaction of an electron and a hole and leads to a quadratic 1P-DOS in the three-dimensional (3D) case. In 3D, higher stability criteria, including two or more electrons, were predicted to exponentially deplete the 1P-DOS at energies close enough to the Fermi level. In this paper, we show that there is a range of intermediate energies where this depletion is strongly compensated by the excitonic interaction between single-particle excitations, so that the crossover from quadratic to exponential behavior of the 1P-DOS is retarded. This is one of the reasons why such exponential depletion was never seen in computer simulations.

Original languageEnglish (US)
Article number064204
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume84
Issue number6
DOIs
StatePublished - Aug 29 2011

Fingerprint Dive into the research topics of 'Coulomb gap in the one-particle density of states in three-dimensional systems with localized electrons'. Together they form a unique fingerprint.

Cite this