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Title: Majorana Fermions in Gapped and Gapless Topological Superconductors
Originating Office: IAS
Speaker: Law, Kam Tuen
Issue Date: 16-Dec-2012
Event Date: 16-Dec-2012
Group/Series/Folder: Record Group 8.15 - Institute for Advanced Study
Series 3 - Audio-visual Materials
Location: 8.15:3 box 1.8
Notes: IAS Asia Pacific Workshop on Condensed Matter Physics. Talk no. 27
Title from title slide.
Host: Institute for Advanced Study.
Sponsor: The Collaborative Research Fund (CRF), The Research Grants Council (RGC).
Abstract: In the first part of the talk, the speaker will show that a quasi-one-dimensional dx²-y²-wave superconductor with Rashba spin-orbit coupling is a DIII class, time-reversal invariant, topological superconductor (TS) which supports a Majorana Kramers Doublet (MKD) at each end of the TS. A MKD is a pair of Majorana end states (MESs) protected by time-reversal symmetry (TRS). An external magnetic field breaks TRS and drives the system from DIII to D class in which case a single MES appears at each end of the TS. The speaker show that a MKD induces resonant Andreev reflection with zero bias conductance peak of 4e²/h. Experimental realizations of the proposed model using non-centrosymmetric superconductors are discussed. In the second part of the talk, the speaker will show that an in-plane magnetic field can drive a fully gapped p ± ip topological superconductor into a gapless phase which supports symmetry protected Majorana Flat Bands (MFBs). We show that the MFBs in the gapless regime are protected by a chiral symmetry and are associated with MESs.
Duration: 37 min.
Appears in Series:8.15:3 - Audio-visual Materials
Videos for Public -- Distinguished Lectures