2016/12/28 by V. Kagalovsky, Igor V. Lerner, I. V. Lerner +1 · 13 citations
Mathematics · Physics and Astronomy · #Bistability #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensed matter physics #Conductance #Embedding #Fermion #Impurity #Luttinger liquid #Mathematics #Parametric statistics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Scattering #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.95.205122
published in Physical review. B./Physical review. B 95(20) (American Physical Society) · 11 pages, 4 figures
arxiv created 2016/12/28 · openalex publication_date 2017/05/15 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of both weak and strong scattering. In contrast to the one-channel Luttinger liquid, the system state in certain parametric regions depends on the scattering strength which results in the emergence of a bistability. Focusing on the two-channel liquid, the method developed here enables us to provide a generic analysis of phase boundaries governed by the most relevant (i.e., not necessarily single-particle) scattering mechanism. The present approach is applicable to channels of different nature as in fermion-boson mixtures, or to identical ones as on the opposite edges of a topological insulator. We show that interaction per se cannot provide protection in the particular case of topological insulators realized in narrow Hall bars.