2009/06/22 by Leiming Chen, Zoran Ristivojević, Zoran Ristivojevic +1
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductance #Crossover #Dissipation #Electron #Impurity #Luttinger liquid #Materials science #Mathematics #Monotonic function #Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Resonance (particle physics) #Thermal conduction #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.80.195102
published as Phys. Rev B 80, 195102 (2009) · 11 pages, 3 figures
arxiv created 2009/06/22 · openalex publication_date 2009/11/02 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider theoretically the transport in a one-channel spinless Luttinger liquid with two strong impurities in the presence of dissipation. As a difference with respect to the dissipation free case, where the two impurities fully transmit electrons at resonance points, the dissipation prevents complete transmission in the present situation. A rich crossover diagram for the conductance as a function of applied voltage, temperature, dissipation strength, Luttinger liquid parameter K, and the deviation from the resonance condition is obtained. For weak dissipation and 1/2<K<1, the conduction shows a nonmonotonic increase as a function of temperature or voltage. For strong dissipation the conduction increases monotonically but is exponentially small.