%0 Journal Article
%A Ortiz Martín, Laura
%A Varona Angulo, Santiago
%A Martín-Delgado Alcántara, Miguel Ángel
%T Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
%D 2018
%@ 2469-9950
%U https://hdl.handle.net/20.500.14352/12012
%X 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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