Localization and Oscillations of Majorana Fermions in a Two-Dimensional Electron Gas Coupled with d-Wave Superconductors
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PhysRevB.97.064501.pdf
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1.49 MB
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Author(s)
Ortiz, L.
Varona, S.
Martin-Delgado, M. A.
Viyuela Garcia, Oscar
Date Issued
February 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Ortiz, L. et al. "Localization and Oscillations of Majorana Fermions in a Two-Dimensional Electron Gas Coupled with d -Wave Superconductors." Physical Review B 97, 6 (February 2018): 064501 © 2018 American Physical Society
Version
Final published version
Abstract
We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular dependence of the d-wave pairing, localization and oscillation properties are found to be similar to the ones seen in conventional s-wave superconductors. In addition, we study a microscopic lattice version of the previous system that can be characterized by a topological invariant. We derive its real space representation that involves nearest and next-to-nearest-neighbors pairing. Finally, we show that the emerging chiral Majorana fermions are indeed robust against static disorder. This analysis has potential applications to quantum simulations and experiments in high-T[subscript c] superconductors.
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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.064501
