Nonequilibrium Transport at a Dissipative Quantum Phase Transition

2008/11/30 by Chung‐Hou Chung, Chung-Hou Chung, Karyn Le Hur +3 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Conductance #Dissipative system #Non-equilibrium thermodynamics #Phase (matter) #Phase transition #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Statistical physics #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.102.216803

published as Phys. Rev. Lett. 102, 216803 (2009) · 4 pages, 5 figures, minor corrections, to be published in Physical Review Letters

arxiv created 2009/05/10 · openalex publication_date 2009/05/28 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the nonequilibrium transport near a quantum phase transition in a generic and relatively simple model, the dissipative resonant level model, that has many applications for nanosystems. We formulate a rigorous mapping and apply a controlled frequency-dependent renormalization group approach to compute the nonequilibrium current in the presence of a finite bias voltage V and a finite temperature T. For V-->0, we find that the conductance has its well-known equilibrium form, while it displays a distinct nonequilibrium profile at finite voltage.

Citations

• Continuous Quantum Phase Transitions
• Twofold Advance in the Theoretical Understanding of Far-From-Equilibrium Properties of Interacting Nanostructures
• Quantum Coherence of the Ground State of a Mesoscopic Ring
• Hidden Caldeira-Leggett Dissipation in a Bose-Fermi Kondo Model
• New Method for Studying Steady States in Quantum Impurity Problems: The Interacting Resonant Level Model

Cited by

• Time-dependent and steady-state Gutzwiller approach for nonequilibrium transport in nanostructures