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

Details A quantum criticality perspective on the charging of narrow quantum-dot levels A quantum criticality perspective on the charging of narrow quantum-dot levels

2008-10-14

arxiv.org/abs/0810.2538v2

Phys. Rev. Lett. 102, 136805 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures, PRL version

Scientific paper

10.1103/PhysRevLett.102.136805

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.

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