A level coupled to a 1D interacting reservoir : A DMRG study

Abstract

The influence of interactions in a reservoir coupled to a level on the width of the filling as a function of the chemical potential and the position of the level is studied. The density matrix renormalization group (DMRG) method is used to calculate the ground state of a finite-size interacting reservoir, linked to a single state dot. The influence of the interactions in the lead as well as dot-lead interactions is considered. It is found that interactions in the reservoir result in a decrease in the resonance width, while the dot-lead interaction has an opposite effect. These effects are explained within the random phase approximation as an effective change in the inverse compressibility of the reservoir, while the dot-lead interactions renormalize the position of the level.

4 pages, 4 figures

Cited by in corpus (16)

• New Trends in Density Matrix Renormalization
• Quantum Wire Hybridized with a Single-Level Impurity
• Image charge dynamics in time-dependent quantum transport
• Duality between different geometries of a resonant level in a Luttinger liquid
• Interacting resonant level coupled to a Luttinger liquid: Universality of thermodynamic properties
• 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
• Capacitance of a resonant level coupled to Luttinger liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Nonequilibrium Keldysh Formalism for Interacting Leads -- Application to Quantum Dot Transport Driven by Spin Bias
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Driving a first order quantum phase transition by coupling a quantum dot to a 1D charge density wave
• Nanotube Quantum Dot Transport With Spin-Orbit Coupling and Interacting Leads
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States