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• W2565261629 abstract "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." @default.
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• W2565261629 date "2017-05-15" @default.
• W2565261629 modified "2023-09-27" @default.
• W2565261629 title "Local impurity in a multichannel Luttinger liquid" @default.
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• W2565261629 doi "https://doi.org/10.1103/physrevb.95.205122" @default.
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