Charging of a quantum dot coupled to Luttinger liquid leads

Abstract

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup to study Luttinger liquid behavior in quantum wires which allows to determine K from two independent measurements: resonant transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two measured values of K for a single probe would provide strong experimental evidence for the Luttinger liquid paradigm.

4 pages, 4 figures included, version accepted for publication in PRB

References in corpus (10)

• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Transport of interacting electrons through a double barrier in quantum wires
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Kondo physics in transport through a quantum dot with Luttinger liquid leads
• A level coupled to a 1D interacting reservoir : A DMRG study
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• Quantum fluctuations of charge and phase transitions of a large Coulomb-blockaded quantum dot

Cited by in corpus (13)

• Quantum Wire Hybridized with a Single-Level Impurity
• Duality between different geometries of a resonant level in a Luttinger liquid
• Interacting resonant level coupled to a Luttinger liquid: Universality of thermodynamic properties
• Charge and energy fractionalization mechanism in one-dimensional channels
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Capacitance of a resonant level coupled to Luttinger liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Quantum Dot in Interacting Environments
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Driven quantum dot coupled to a fractional quantum Hall edge
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States