Quantum criticality perspective on the charging of narrow quantum-dot levels

Understanding the charging of exceptionally narrow levels in quantum dots in the presence of interactions remains a challenge within mesoscopic physics. We address this fundamental question in the generic model of a narrow level capacitively coupled to a broad one. Using bosonization we show that fo...

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Bibliographic Details
Published in:Physical review letters 2009-04, Vol.102 (13), p.136805-136805, Article 136805
Main Authors: Kashcheyevs, V, Karrasch, C, Hecht, T, Weichselbaum, A, Meden, V, Schiller, A
Format: Article
Language:English
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Summary:Understanding the charging of exceptionally narrow levels in quantum dots in the presence of interactions remains a challenge within mesoscopic physics. We address this fundamental question in the generic model of a narrow level capacitively coupled to a broad one. Using bosonization we show that for arbitrary capacitive coupling charging can be described by an analogy to the magnetization in the anisotropic Kondo model, featuring a low-energy crossover scale that depends in a power-law fashion on the tunneling amplitude to the level. Explicit analytical expressions for the exponent are derived and confirmed by detailed numerical and functional renormalization-group calculations.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.102.136805