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Vortex states and Majorana fermions in spin-orbit coupled semiconductor-superconductor hybrid structures
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 88, no 2, 024501- p.Article in journal (Refereed) Published
Abstract [en]

We study the energy spectrum of a vortex core in a two-dimensional semiconductor with Rashba spin-orbit interaction and proximity coupled to a conventional superconductor and a ferromagnetic insulator. We perform self-consistent calculations using the microscopic tight-binding Bogoliubov-de Gennes method on a lattice and confirm the existence of Majorana fermions in the nontrivial topological phase. We also find two different topologically trivial bulk superconducting phases, only differing in the type of vortex core structure they support and separated by a zero-energy excitation. Furthermore, we find an asymmetry in the energy spectrum with respect to both Zeeman splitting and vortex rotation direction and explain its physical origin.

Place, publisher, year, edition, pages
2013. Vol. 88, no 2, 024501- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-204775DOI: 10.1103/PhysRevB.88.024501ISI: 000321270100003OAI: oai:DiVA.org:uu-204775DiVA: diva2:641137
Available from: 2013-08-15 Created: 2013-08-12 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Topological band theory and Majorana fermions: With focus on self-consistent lattice models
Open this publication in new window or tab >>Topological band theory and Majorana fermions: With focus on self-consistent lattice models
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

One of the most central concepts in condensed matter physics is the electronic band structure. Although band theory was established more than 80 years ago, recent developments have led to new insights that are formulated in the framework of topological band theory. In this thesis a subset of topological band theory is presented, with particular focus on topological supercon- ductors and accompanying Majorana fermions. While simple models are used to introduce basic concepts, a physically more realistic model is also studied intensely in the papers. Through self- consistent tight-binding calculations it is confirmed that Majorana fermions appear in vortex cores and at wire end points when the superconductor is in the topologically non-trivial phase. Many other properties such as the topological invariant, experimental signatures in the local density of states and spectral function, unconventional and odd-frequency pairing, the precense of spin-polarized currents and spin-polarization of the Majorana fermions, and a local π-phase shift in the order parameter at magnetic impurities are also investigated. 

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2016. 144 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1441
Keyword
Topology, Majorana, superconductivity, material physics, numerical calculations, tight-binding, mean-field
National Category
Condensed Matter Physics Physical Sciences
Identifiers
urn:nbn:se:uu:diva-305212 (URN)978-91-554-9728-6 (ISBN)
Public defence
2016-12-09, Häggsalen, Ångströmslaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Opponent
Supervisors
Available from: 2016-11-15 Created: 2016-10-12 Last updated: 2016-11-23

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Björnson, KristoferBlack-Schaffer, Annica M.

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