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Majorana flat bands and unidirectional Majorana edge states in gapless topological superconductors

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Author(s)
Wong, Chris L. M.
•
Liu, Jie
•
Law, Kam Tuen
•
Lee, Patrick A.
Date Issued
August 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Wong, Chris L. M., Jie Liu, K. T. Law, and Patrick A. Lee. “Majorana Flat Bands and Unidirectional Majorana Edge States in Gapless Topological Superconductors.” Phys. Rev. B 88, no. 6 (August 2013). © 2013 American Physical Society
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Final published version
Abstract
We show that an in-plane magnetic field can drive a fully gapped p ± ip topological superconductor into a gapless phase which supports Majorana flat bands (MFBs). Unlike previous examples, the MFBs in the gapless regime are protected from disorder by a chiral symmetry. In addition, novel unidirectional Majorana edge states (MESs) which propagate in the same direction on opposite edges appear when the chiral symmetry is broken by Rashba terms. Unlike the usual chiral or helical edge states, unidirectional MESs appear only in systems with a gapless bulk. The MFBs and the unidirectional MESs induce nearly quantized zero bias conductance in tunneling experiments.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/88942
DOI of Published Version
https://doi.org/10.1103/PhysRevB.88.060504
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