Floquet Majorana zero and π modes in planar Josephson junctions

Liu, Dillon T.; Shabani, Javad; Mitra, Aditi

doi:10.1103/PhysRevB.99.094303

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

Journal Article · Thu Mar 07 00:00:00 EST 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.094303· OSTI ID:1596112

Liu, Dillon T. ^[1]; Shabani, Javad ^[1]; Mitra, Aditi ^[1]

New York Univ. (NYU), NY (United States). Dept. of Physics

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.

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Research Organization:: New York Univ. (NYU), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: SC0010821; DMR-1836687; MRSEC-1420073

OSTI ID:: 1596112

Alternate ID(s):: OSTI ID: 1498576

Journal Information:: Physical Review B, Vol. 99, Issue 9; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Quasiparticles of a periodically driven quantum dot coupled between superconducting and normal leads Baran, B.; Domański, T. Physical Review B, Vol. 100, Issue 8 https://doi.org/10.1103/physrevb.100.085414	journal	August 2019
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Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes Zhou, Longwen Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014306	journal	January 2020
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