6533b853fe1ef96bd12ac353

RESEARCH PRODUCT

Quantum criticality perspective on the charging of narrow quantum-dot levels.

Andreas WeichselbaumChristoph KarraschVolker MedenT. HechtVyacheslavs KashcheyevsAvraham Schiller

subject

PhysicsBosonizationMesoscopic physicsStrongly Correlated Electrons (cond-mat.str-el)Condensed Matter - Mesoscale and Nanoscale PhysicsCondensed matter physicsFOS: Physical sciencesGeneral Physics and AstronomyCoulomb blockadeCondensed Matter::Mesoscopic Systems and Quantum Hall EffectCondensed Matter - Strongly Correlated ElectronsQuantum dotQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Strongly correlated materialKondo modelQuantumQuantum tunnelling

description

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.

10.1103/physrevlett.102.136805https://pubmed.ncbi.nlm.nih.gov/19392388