2011/05/31 by D. N. Aristov, P. Wölfle · 1 citation
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Condensed matter physics #Electrical Contact Performance and Analysis #Electron #Electronic Packaging and Soldering Technologies #Luttinger liquid #Materials science #Physics #Quantum mechanics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.84.155426
published as Phys. Rev. B 84, 155426 (2011) · 17 pages, 4 figures. final version: extended discussion, new appendix
arxiv created 2011/10/06 · openalex publication_date 2011/10/17 · arxiv updated 2011/10/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the transport properties of three Luttinger liquid wires (with possibly different interaction strength), connected through a Y junction, within the scattering state formalism. We first formulate the problem in current algebra language and focus on the case of a symmetric setup, for which the scattering matrix and the matrix of conductances is parametrized by two variables. For these, we derive coupled renormalization group equations, first in a ladder summation up to infinite order in the interaction. The fixed-point structure and the implicit solution of these equations is presented. It is shown that higher-order terms beyond the ladder approximation do not change the scaling behavior near the fixed points. For sufficiently strong attractive interaction, a new fixed point with unusual properties is found.