Capacitance of a resonant level coupled to Luttinger liquids

Abstract

In this paper we study the differential capacitance of a single-level quantum dot attached to quantum wires in the Luttinger liquid phase, or to fractional quantum Hall edges, by both tunneling and interactions. We show that logarithmic or even power-law divergence of the capacitance at low temperatures may result in a substantial region of the parameter space (including the $\nu =1/3$ filling). This behavior is a manifestation of generalized two channel Kondo physics, and can be used to extract Luttinger liquid parameters from thermodynamic measurements.

4+ pages, 2 figures

References in corpus (10)

• Observation of the two-channel Kondo effect
• Mesoscopic Charge Relaxation
• Quantum Wire Hybridized with a Single-Level Impurity
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Friedel oscillations in disordered quantum wires: Influence of e-e interactions on the localization length
• Charging of a quantum dot coupled to Luttinger liquid leads
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• Disorder effect on the Friedel oscillations in a one-dimensional Mott insulator
• Enhanced Two-Channel Kondo Physics in a Quantum Box Device

Cited by in corpus (11)

• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Transport Signatures of Majorana Quantum Criticality Realized by Dissipative Resonant Tunneling
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Quantum Dot in Interacting Environments
• Driven quantum dot coupled to a fractional quantum Hall edge
• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Non-Fermi-liquid Kondo screening under Rabi driving
• Transparency enhancement in a double-barrier structure by the Fano antiresonance