A 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.

4+ pages, 3 figures, PRL version

References in corpus (6)

• The numerical renormalization group method for quantum impurity systems
• A novel approach to transport through correlated quantum dots
• Unified description of correlations in double quantum dots
• Enhancement of the Two-channel Kondo Effect in Single-Electron boxes
• Correlation-induced resonances and population switching in a quantum dot coulomb valley
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Cited by in corpus (6)

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• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• The interacting resonant level model in nonequilibrium: finite temperature effects
• The Functional Renormalization Group for Zero-Dimensional Quantum Systems in and out of Equilibrium
• Metastability and quantum coherence-assisted sensing in interacting parallel quantum dots
• Realizing the interacting resonant level model using a quantum dot detector