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Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
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.
2016 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 94, no 10, 100501Article in journal (Refereed) Published
Abstract [en]

We consider a wire network of ferromagnetic impurities on the surface of an s-wave superconductor with a strong Rashba spin-orbit interaction. Within the topological phase, zero-energy Majorana fermions appear at the wire end points as well as at junctions between an odd number of wire segments, while no clearly isolated subgap states are present at junctions between an even number of wire segments, providing strong, experimentally accessible signatures for Majorana fermions. We also investigate the quasiparticle energy gap with respect to varying the Rashba spin-orbit coupling and magnetic impurity strength. 

Place, publisher, year, edition, pages
2016. Vol. 94, no 10, 100501
National Category
Condensed Matter Physics Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-305208DOI: 10.1103/PhysRevB.94.100501ISI: 000383231600002OAI: oai:DiVA.org:uu-305208DiVA: diva2:1034716
Funder
Swedish Research CouncilSwedish Foundation for Strategic Research Göran Gustafsson Foundation for promotion of scientific research at Uppala University and Royal Institute of Technology
Available from: 2016-10-12 Created: 2016-10-12 Last updated: 2017-11-29Bibliographically 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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