Next Article in Journal
Localization Parameters for Two Interacting Particles in Disordered Two-Dimensional Finite Lattices
Next Article in Special Issue
Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates
Previous Article in Journal
Operando XAFS and XRD Study of a Prussian Blue Analogue Cathode Material: Iron Hexacyanocobaltate
Previous Article in Special Issue
Anomalous Transport Behavior in Quantum Magnets
Article Menu

Export Article

Open AccessArticle
Condens. Matter 2018, 3(4), 37; https://doi.org/10.3390/condmat3040037

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

1
Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
2
Institute for Theoretical Physics, 3584 CC Utrecht, The Netherlands
3
Dipartimento di Fisica, Università di Roma Sapienza, Piazzale Aldo Moro 5, 00185 Rome, Italy
4
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)
Full-Text   |   PDF [2160 KB, uploaded 29 October 2018]   |  
  |   Review Reports

Abstract

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
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Condens. Matter EISSN 2410-3896 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top