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Title: Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas

Abstract

Motivated by recent experiments demonstrating intricate quantum Hall physics on the surface of elemental bismuth, we consider proximity coupling an s-wave superconductor to a two-dimensional electron gas with strong Rashba spin-orbit interactions in the presence of a strong perpendicular magnetic field. We focus on the high-field limit so that the superconductivity can be treated as a perturbation to the low-lying Landau levels. In the clean case, wherein the superconducting order parameter takes the form of an Abrikosov vortex lattice, we show that a lattice of hybridized Majorana modes emerges near the plateau transition of the lowest Landau level. However, unless magnetic-symmetry-violating perturbations are present, the system always has an even number of chiral Majorana edge modes and thus is strictly speaking Abelian in nature, in agreement with previous work on related setups. Interestingly, however, a weak topological superconducting phase can very naturally be stabilized near the plateau transition for the square vortex lattice. The relevance of our findings to potential near-term experiments on proximitized materials such as bismuth will be discussed.

Authors:
 [1];  [2];  [1]
  1. Princeton Univ., NJ (United States); Univ. of California, Berkeley, CA (United States)
  2. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1572804
Alternate Identifier(s):
OSTI ID: 1501959
Grant/Contract Number:  
AC02-05CH11231; FG02-07ER46419
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Mishmash, Ryan V., Yazdani, A., and Zaletel, Michael P. Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.115427.
Mishmash, Ryan V., Yazdani, A., & Zaletel, Michael P. Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas. United States. doi:10.1103/physrevb.99.115427.
Mishmash, Ryan V., Yazdani, A., and Zaletel, Michael P. Wed . "Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas". United States. doi:10.1103/physrevb.99.115427.
@article{osti_1572804,
title = {Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas},
author = {Mishmash, Ryan V. and Yazdani, A. and Zaletel, Michael P.},
abstractNote = {Motivated by recent experiments demonstrating intricate quantum Hall physics on the surface of elemental bismuth, we consider proximity coupling an s-wave superconductor to a two-dimensional electron gas with strong Rashba spin-orbit interactions in the presence of a strong perpendicular magnetic field. We focus on the high-field limit so that the superconductivity can be treated as a perturbation to the low-lying Landau levels. In the clean case, wherein the superconducting order parameter takes the form of an Abrikosov vortex lattice, we show that a lattice of hybridized Majorana modes emerges near the plateau transition of the lowest Landau level. However, unless magnetic-symmetry-violating perturbations are present, the system always has an even number of chiral Majorana edge modes and thus is strictly speaking Abelian in nature, in agreement with previous work on related setups. Interestingly, however, a weak topological superconducting phase can very naturally be stabilized near the plateau transition for the square vortex lattice. The relevance of our findings to potential near-term experiments on proximitized materials such as bismuth will be discussed.},
doi = {10.1103/physrevb.99.115427},
journal = {Physical Review B},
number = 11,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
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