Localization and Oscillations of Majorana Fermions in a Two-Dimensional Electron Gas Coupled with d-Wave Superconductors

Localization and Oscillations of Majorana Fermions in a Two-Dimensional Electron Gas Coupled with d-Wave Superconductors

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...

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Bibliographic Details
Main Authors: Ortiz, L. (Author), Varona, S. (Author), Martin-Delgado, M. A. (Author), Viyuela Garcia, Oscar (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2018-03-27T15:01:06Z.
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Summary: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.

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