Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
L. Ortiz, S. Varona, O. Viyuela, M. A. Martin-Delgado
DOI 10.1103/PhysRevB.97.064501 · Physical Review B
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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-Tc superconductors.
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