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Condens. Matter 2018, 3(4), 37;

Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces

Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
Institute for Theoretical Physics, 3584 CC Utrecht, The Netherlands
Dipartimento di Fisica, Università di Roma Sapienza, Piazzale Aldo Moro 5, 00185 Rome, Italy
CNR-Istituto dei Sistemi Complessi, Via dei Taurini 19, 00185 Rome, Italy
Author to whom correspondence should be addressed.
Received: 1 October 2018 / Revised: 19 October 2018 / Accepted: 26 October 2018 / Published: 29 October 2018
(This article belongs to the Special Issue Selected Papers from Quantum Complex Matter 2018)
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We study one-dimensional structures that may be formed at the LaAlO 3 /SrTiO 3 oxide interface by suitable top gating. These structures are modeled via a single-band model with Rashba spin-orbit coupling, superconductivity and a magnetic field along the one-dimensional chain. We first discuss the conditions for the occurrence of a topological superconducting phase and the related formation of Majorana fermions at the chain endpoints, highlighting a close similarity between this model and the Kitaev model, which also reflects in a similar condition the formation of a topological phase. Solving the model in real space, we also study the spatial extension of the wave function of the Majorana fermions and how this increases with approaching the limit condition for the topological state. Using a scattering matrix formalism, we investigate the stability of the Majorana fermions in the presence of disorder and discuss the evolution of the topological phase with increasing disorder. View Full-Text
Keywords: Majorana fermions; topological superconductors; Rashba spin-orbit coupling; oxide interfaces Majorana fermions; topological superconductors; Rashba spin-orbit coupling; oxide interfaces

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Mazziotti, M.V.; Scopigno, N.; Grilli, M.; Caprara, S. Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces. Condens. Matter 2018, 3, 37.

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