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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 200, Number 1, Pages 137–146
DOI: https://doi.org/10.4213/tmf9585
(Mi tmf9585)
 

This article is cited in 5 scientific papers (total in 5 papers)

Majorana states near an impurity in the Kitayev infinite and semi-infinite model

T. S. Tinyukovaa, Yu. P. Chuburinb

a Udmurt State University, Izhevsk, Russia
b Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia
Full-text PDF (355 kB) Citations (5)
References:
Abstract: For an infinite Kitaev chain with an impurity described by a deltalike potential, we analytically prove that two overlapping Majorana bound states in a topologically trivial phase in the case of a small superconducting gap exist under the condition $V_0=2\Delta$, where $V_0$ is the value of the potential and $\Delta$ is the superconducting order parameter. For a semi-infinite Kitaev chain with an impurity in the case of a small gap, we prove that there are two overlapping Majorana bound states in the trivial phase and one Majorana bound state in the topological phase and that the Majorana bound state in the latter case is stable under changes in the model parameters. We find explicit analytic expressions for the corresponding wave functions in all cases.
Keywords: superconductivity, Majorana bound states, Kitaev model, Green's function.
Funding agency Grant number
Ural Branch of the Russian Academy of Sciences 18-2-2-12
This research was supported in part by the Ural Branch of the Russian Academy of Sciences (Grant No. 18-2-2-12).
Received: 03.05.2018
Revised: 03.12.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 200, Issue 1, Pages 1043–1052
DOI: https://doi.org/10.1134/S0040577919070080
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. S. Tinyukova, Yu. P. Chuburin, “Majorana states near an impurity in the Kitayev infinite and semi-infinite model”, TMF, 200:1 (2019), 137–146; Theoret. and Math. Phys., 200:1 (2019), 1043–1052
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v200/i1/p137
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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