Topological Superconductor-Luttinger Liquid Junctions

Speaker: 
Ian Affleck
Event Date and Time: 
Mon, 2013-09-16 12:00 - 13:00
Location: 
Hennings 318
Local Contact: 
Fei Zhou
Intended Audience: 
Graduate


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.

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