title: Quantum criticality perspective on the charging of narrow quantum-dot levels.
abstract: 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.
authors.affiliation: Faculty of Physics and Mathematics, University of Latvia, Zeļļu street 8, Riga LV-1002, Latvia.
authors.forename: V
authors.initials: V
authors.lastname: Kashcheyevs
authors.forename: C
authors.initials: C
authors.lastname: Karrasch
authors.forename: T
authors.initials: T
authors.lastname: Hecht
authors.forename: A
authors.initials: A
authors.lastname: Weichselbaum
authors.forename: V
authors.initials: V
authors.lastname: Meden
authors.forename: A
authors.initials: A
authors.lastname: Schiller