Date:
Tue, 20/03/201812:00-13:30
Location:
Danciger B building, seminar room
Lecturer : Laura Ortiz
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.
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.