Nonequilibrium transport in quantum impurity models: the Bethe ansatz for open systems

We develop an exact nonperturbative framework to compute steady-state properties of quantum impurities subject to a finite bias. We show that the steady-state physics of these systems is captured by nonequilibrium scattering eigenstates which satisfy an appropriate Lippman-Schwinger equation. Introd...

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Bibliographic Details
Published inPhysical review letters Vol. 96; no. 21; p. 216802
Main Authors Mehta, Pankaj, Andrei, Natan
Format Journal Article
LanguageEnglish
Published United States 02.06.2006
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Summary:We develop an exact nonperturbative framework to compute steady-state properties of quantum impurities subject to a finite bias. We show that the steady-state physics of these systems is captured by nonequilibrium scattering eigenstates which satisfy an appropriate Lippman-Schwinger equation. Introducing a generalization of the equilibrium Bethe ansatz--the nonequilibrium Bethe ansatz--we explicitly construct the scattering eigenstates for the interacting resonance level model and derive exact, nonperturbative results for the steady-state properties of the system.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.96.216802