Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 90, Issue 5, Pages 433–439 (Mi jetpl534)  

This article is cited in 12 scientific papers (total in 12 papers)

CONDENSED MATTER

Spectrum of bound fermion states on vortices in $^3$He-B

M. A. Silaevab

a Institute for Physics of Microstructures RAS
b Low Temperature Laboratory, Helsinki University of Technology, 02150 Espoo, Finland
References:
Abstract: We study subgap spectra of fermions localized within vortex cores in $^3$He-B. We develop an analytical treatment of the low-energy states and consider the characteristic properties of fermion spectra for different types of vortices. Due to the removed spin degeneracy the spectra of all singly quantized vortices consist of two different anomalous branches crossing the Fermi level. For singular $o$ and $u$ vortices the anomalous branches are similar to the standard Caroli-de Gennes-Matricon ones and intersect the Fermi level at zero angular momentum yet with different slopes corresponding to different spin states. On the contrary the spectral branches of nonsingular vortices intersect the Fermi level at finite angular momenta which leads to the appearance of a large number of zero modes, i.e. energy states at the Fermi level. Considering the $v$, $w$ and $uvw$ vortices with superfluid cores we show that the number of zero modes is proportional to the size of the vortex core.
English version:
Journal of Experimental and Theoretical Physics Letters, 2009, Volume 90, Issue 5, Pages 391–397
DOI: https://doi.org/10.1134/S0021364009170160
Bibliographic databases:
Document Type: Article
PACS: 74.25.-q, 74.78.Na
Language: English
Citation: M. A. Silaev, “Spectrum of bound fermion states on vortices in $^3$He-B”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:5 (2009), 433–439; JETP Letters, 90:5 (2009), 391–397
Citation in format AMSBIB
\Bibitem{Sil09}
\by M.~A.~Silaev
\paper Spectrum of bound fermion states on vortices in $^3$He-B
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2009
\vol 90
\issue 5
\pages 433--439
\mathnet{http://mi.mathnet.ru/jetpl534}
\transl
\jour JETP Letters
\yr 2009
\vol 90
\issue 5
\pages 391--397
\crossref{https://doi.org/10.1134/S0021364009170160}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76449099691}
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  • https://www.mathnet.ru/eng/jetpl534
  • https://www.mathnet.ru/eng/jetpl/v90/i5/p433
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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