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Topological invariant for generic one-dimensional time-reversal-symmetric superconductors in class DIII
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 88, no 13, 134523- p.Article in journal (Refereed) Published
Abstract [en]

A one-dimensional time-reversal-symmetric topological superconductor (symmetry class DIII) features a single Kramers pair of Majorana bound states at each of its ends. These holographic quasiparticles are non-Abelian anyons that obey Ising-type braiding statistics. In the special case where an additional U (1) spin rotation symmetry is present, this state can be understood as two copies of a Majorana wire in symmetry class D, one copy for each spin block. We present a manifestly gauge invariant construction of the topological invariant for the generic case, i.e., in the absence of any additional symmetries like spin rotation symmetry. Furthermore, we show how the presence of inversion symmetry simplifies the calculation of the topological invariant. The proposed scheme is suitable for the classification of both interacting and disordered systems and allows for a straightforward numerical evaluation of the invariant since it does not rely on fixing a continuous phase relation between Bloch functions. Finally, we apply our method to compute the topological phase diagram of a Rashba wire with competing s-wave and p-wave superconducting pairing terms.

Place, publisher, year, edition, pages
2013. Vol. 88, no 13, 134523- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-96596DOI: 10.1103/PhysRevB.88.134523ISI: 000326271500002OAI: oai:DiVA.org:su-96596DiVA: diva2:666958
Note

AuthorCount:2;

Available from: 2013-11-25 Created: 2013-11-25 Last updated: 2017-12-06Bibliographically approved

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Budich, Jan CarlArdonne, Eddy
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