Topological Superconductor-Luttinger Liquid Junctions
Abstract
Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized Majorana mode exists at the junction between superconducting and normal parts of the nanowire. We consider here the case of a T-junction between the superconductor and two normal nanowires and also the case of a single wire with two (or more) partially filled bands in the normal part. We find that coupling this 2-channel Luttinger liquid to the single Majorana mode at the junction produces frustration, leading to a critical point separating phases with perfect Andreev scattering in one channel and perfect normal scattering in the other.
Cite
@article{arxiv.1305.1888,
title = {Topological Superconductor-Luttinger Liquid Junctions},
author = {Ian Affleck and Domenico Giuliano},
journal= {arXiv preprint arXiv:1305.1888},
year = {2018}
}
Comments
54 pages, 14 .eps figure. Revised version. Various typos and incorrect factors in some equations (not affecting the main conclusions) have been corrected