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.

arXiv comment4+ pages, 3 figures, PRL version

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Cited by in corpus (17)

• Functional renormalization group approach to correlated fermion systems
• Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
• Charge transport through single molecules, quantum dots, and quantum wires
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Functional renormalization group study of the interacting resonant level model in and out of equilibrium
• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• Anderson Orthogonality in the Dynamics After a Local Quantum Quench
• Population switching and charge sensing in quantum dots: A case for a quantum phase transition
• The interacting resonant level model in nonequilibrium: finite temperature effects
• Capacitively coupled double quantum dot system in the Kondo regime
• The role of the indirect tunneling processes and asymmetry in couplings in orbital Kondo transport through double quantum dots
• Quantum impurity coupled to Majorana edge fermions
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• 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
• Renormalization group flows in one-dimensional lattice models: impurity scaling, umklapp scattering and the orthogonality catastrophe