2008/10/31 by Vyacheslavs Kashcheyevs, V. Kashcheyevs, Christoph Karrasch +7
Physics and Astronomy · #Bosonization #Condensed matter physics #Coupling (piping) #Electron #Kondo effect #Mesoscopic physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum tunnelling #Semiconductor Quantum Structures and Devices #Statistical physics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.102.136805
published as Phys. Rev. Lett. 102, 136805 (2009) · 4+ pages, 3 figures, PRL version
arxiv created 2009/03/26 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.