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Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: Exact solutions via the T-matrix
KTH, School of Engineering Sciences (SCI), Physics.
Univ Paris Saclay, Inst Phys Theor, CEA CNRS, F-91190 Gif Sur Yvette, France..
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 100, no 8, article id 081106Article in journal (Refereed) Published
Abstract [en]

We provide here a direct and exact formalism to describe the formation of edge or surface states, as well as to calculate boundary Green's functions. Modeling the boundary as an impurity potential, we show via the T-matrix formalism that the impurity states evolve into boundary modes when the impurity potential goes to infinity. We apply this technique to obtain Majorana states in one- (1D) and two-dimensional Kitaev systems. For the 1D case we also calculate the corresponding boundary Green's functions. We argue that our formalism can be applied to other topological models, as well as to any model exhibiting edge states.

Place, publisher, year, edition, pages
American Physical Society, 2019. Vol. 100, no 8, article id 081106
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-257443DOI: 10.1103/PhysRevB.100.081106ISI: 000480389100004Scopus ID: 2-s2.0-85070603557OAI: oai:DiVA.org:kth-257443DiVA, id: diva2:1347233
Note

QC 20190830

Available from: 2019-08-30 Created: 2019-08-30 Last updated: 2019-08-30Bibliographically approved

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