Theory of a resonant level coupled to several conduction-electron channels in equilibrium and out of equilibrium

L. Borda, Károly Vladár, A. Zawadowski

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42 Citations (Scopus)

Abstract

The spinless resonant level model is studied when it is coupled by hopping to one of the arbitrary numbers of conduction-electron channels. The Coulomb interaction acts between the electron on the impurity and in the different channels. In the case of a repulsive or attractive interaction the conduction electrons are pushed away or attracted to ease or hinder the hopping by creating unoccupied or occupied states, respectively. In the screening of the hopping orthogonality catastrophe plays an important role. At equilibrium in the weak- and strong-coupling limits the renormalizations are treated by perturbative, numerical, and Anderson-Yuval Coulomb gas methods. In the case of two leads the current due to applied voltage is treated in the weak-coupling limit. The presented detailed study should help to test other methods suggested for nonequilibrium transport.

Original languageEnglish
Article number125107
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number12
DOIs
Publication statusPublished - Mar 12 2007

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conduction electrons
Electrons
orthogonality
screening
interactions
Coulomb interactions
impurities
Screening
electric potential
Gases
gases
Impurities
electrons
Electric potential

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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AB - The spinless resonant level model is studied when it is coupled by hopping to one of the arbitrary numbers of conduction-electron channels. The Coulomb interaction acts between the electron on the impurity and in the different channels. In the case of a repulsive or attractive interaction the conduction electrons are pushed away or attracted to ease or hinder the hopping by creating unoccupied or occupied states, respectively. In the screening of the hopping orthogonality catastrophe plays an important role. At equilibrium in the weak- and strong-coupling limits the renormalizations are treated by perturbative, numerical, and Anderson-Yuval Coulomb gas methods. In the case of two leads the current due to applied voltage is treated in the weak-coupling limit. The presented detailed study should help to test other methods suggested for nonequilibrium transport.

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