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arXiv · 1709.06568

Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors

Laura Ortiz·Santiago Varona·Oscar Viyuela·Miguel Angel Martin-Delgado
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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-$T_c$ superconductors.

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Laura Ortiz, Santiago Varona, Oscar Viyuela, Miguel Angel Martin-Delgado. 2018-02-15. Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors. https://doi.org/10.1103/physrevb.97.064501

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