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Title: Floquet Majorana zero and π modes in planar Josephson junctions

Abstract

Here, we highlight how Floquet Majorana fermions may be experimentally realized by periodic driving of a solid-state platform. The system comprises a planar Josephson junction made of a proximitized heterostructure containing a two-dimensional electron gas with Rashba spin-orbit coupling and Zeeman field. We map the subgap Andreev bound states of the junction to an effective one-dimensional Kitaev model with long-range hopping and pairing terms. Using this effective model, we study the response of the system to periodic driving of the chemical potential, as applied via microwaves through a top gate. We use the bulk Floquet topological invariants to characterize the system in terms of the number of zero and π Majorana modes for experimentally realistic parameters. We present signatures of these modes on differential conductance and local density of states. A notable feature is subharmonic response to the drive when both Majorana zero and π modes are present, thus opening up the possibility of using this feature to clearly identify Majorana modes. Furthermore, we illustrate the robustness of these features to disorder, and show that despite hybridization due to long localization lengths, the main features of the subharmonic response are still identifiable in an experimental system that is readily accessible.

Authors:
 [1];  [1];  [1]
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  1. New York Univ. (NYU), NY (United States). Dept. of Physics
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1596112
Alternate Identifier(s):
OSTI ID: 1498576
Grant/Contract Number:  
SC0010821; DMR-1836687; MRSEC-1420073
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 9; 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; 36 MATERIALS SCIENCE

Citation Formats

Liu, Dillon T., Shabani, Javad, and Mitra, Aditi. Floquet Majorana zero and π modes in planar Josephson junctions. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.094303.
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Liu, Dillon T., Shabani, Javad, & Mitra, Aditi. Floquet Majorana zero and π modes in planar Josephson junctions. United States. https://doi.org/10.1103/PhysRevB.99.094303
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Liu, Dillon T., Shabani, Javad, and Mitra, Aditi. Thu . "Floquet Majorana zero and π modes in planar Josephson junctions". United States. https://doi.org/10.1103/PhysRevB.99.094303. https://www.osti.gov/servlets/purl/1596112.
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@article{osti_1596112,
title = {Floquet Majorana zero and π modes in planar Josephson junctions},
author = {Liu, Dillon T. and Shabani, Javad and Mitra, Aditi},
abstractNote = {Here, we highlight how Floquet Majorana fermions may be experimentally realized by periodic driving of a solid-state platform. The system comprises a planar Josephson junction made of a proximitized heterostructure containing a two-dimensional electron gas with Rashba spin-orbit coupling and Zeeman field. We map the subgap Andreev bound states of the junction to an effective one-dimensional Kitaev model with long-range hopping and pairing terms. Using this effective model, we study the response of the system to periodic driving of the chemical potential, as applied via microwaves through a top gate. We use the bulk Floquet topological invariants to characterize the system in terms of the number of zero and π Majorana modes for experimentally realistic parameters. We present signatures of these modes on differential conductance and local density of states. A notable feature is subharmonic response to the drive when both Majorana zero and π modes are present, thus opening up the possibility of using this feature to clearly identify Majorana modes. Furthermore, we illustrate the robustness of these features to disorder, and show that despite hybridization due to long localization lengths, the main features of the subharmonic response are still identifiable in an experimental system that is readily accessible.},
doi = {10.1103/PhysRevB.99.094303},
journal = {Physical Review B},
number = 9,
volume = 99,
place = {United States},
year = {Thu Mar 07 00:00:00 EST 2019},
month = {Thu Mar 07 00:00:00 EST 2019}
}
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https://doi.org/10.1103/PhysRevB.99.094303
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text, January 2004

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