2012/01/01 by D. N. Aristov, P. Wölfle
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Conductance #Luttinger liquid #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum and electron transport phenomena #Renormalization #Renormalization group #Scattering #Surface and Thin Film Phenomena #Work (physics) #cond-mat.str-el
paper · pdf · doi:10.3952/lithjphys.52202
published as Lithuanian Journal of Physics 52, 89-95 (2012) · 6 pages, 3 figures, REVTEX
openalex publication_date 2012/01/01 · arxiv created 2012/07/19 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g1 , g2 , connected through a short junction, within the scattering state formalism. Following earlier work we formulate the problem in current algebra language, and calculate the scale dependent contribution to the conductance in perturbation theory keeping the leading universal contributions to all orders in the interaction strength. From that we derive a renormalization group (RG) equation for the conductance. The analytical solution of the RG-equation is discussed in dependence on g1 , g2 . The regions of stability of the two fixed points corresponding to conductance G = 0 and G = 1,respectively, are determined.