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Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 95, Issue 1, Pages 29–32 (Mi jetpl2413)  

This article is cited in 7 scientific papers (total in 7 papers)


Evolution of edge states in topological superfluids during the quantum phase transition

M. A. Silaeva, G. E. Volovikbc

a Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhnii Novgorod
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
c Low Temperature Laboratory, Helsinki University of Technology

Abstract: The quantum phase transition between topological and non-topological insulators or between fully gapped superfluids/superconductors can occur without closing the gap. We consider the evolution of the Majorana edge states on the surface of topological superconductor during transition to the topologically trivial superconductor on example of non-interacting Hamiltonian describing the spin-triplet superfluid $^3$He–B. In conventional situation when the gap is nullified at the transition, the spectrum of Majorana fermions shrinks and vanishes after the transition to the trivial state. If the topological transition occurs without the gap closing, the Majorana fermion spectrum disappears by escaping to ultraviolet, where Green's function approaches zero. This demonstrates the close connection between the topological transition without closing the gap and zeroes in the Green's function. Similar connection takes place in interacting systems where zeroes may occur due to interaction.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2012, 95:1, 25–28

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Document Type: Article
Received: 22.11.2011
Language: English

Citation: M. A. Silaev, G. E. Volovik, “Evolution of edge states in topological superfluids during the quantum phase transition”, Pis'ma v Zh. Èksper. Teoret. Fiz., 95:1 (2012), 29–32; JETP Letters, 95:1 (2012), 25–28

Citation in format AMSBIB
\by M.~A.~Silaev, G.~E.~Volovik
\paper Evolution of edge states in topological superfluids during the quantum phase transition
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2012
\vol 95
\issue 1
\pages 29--32
\jour JETP Letters
\yr 2012
\vol 95
\issue 1
\pages 25--28

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    This publication is cited in the following articles:
    1. Manmana S.R., Essin A.M., Noack R.M., Gurarie V., “Topological Invariants and Interacting One-Dimensional Fermionic Systems”, Phys. Rev. B, 86:20 (2012), 205119  crossref  adsnasa  isi  elib  scopus
    2. Zubkov M.A., “Generalized Unparticles, Zeros of the Green Function, and Momentum Space Topology of the Lattice Model with Overlap Fermions”, Phys. Rev. D, 86:3 (2012), 034505  crossref  mathscinet  adsnasa  isi  elib  scopus
    3. Zubkov M.A., Volovik G.E., “Momentum Space Topological Invariants for the 4D Relativistic Vacua with MASS Gap”, Nucl. Phys. B, 860:2 (2012), 295–309  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Silaev M.A. Volovik G.E., “Andreev-Majorana Bound States in Superfluids”, J. Exp. Theor. Phys., 119:6, SI (2014), 1042–1057  crossref  adsnasa  isi  elib  scopus
    5. Mizushima T. Tsutsumi Ya. Sato M. Machida K., “Symmetry Protected Topological Superfluid He-3-B”, J. Phys.-Condes. Matter, 27:11 (2015), 113203  crossref  adsnasa  isi  scopus
    6. Mizushima T. Tsutsumi Ya. Kawakami T. Sato M. Ichioka M. Machida K., “Symmetry-Protected Topological Superfluids and Superconductors-From the Basics To $^3$He”, J. Phys. Soc. Jpn., 85:2 (2016), 022001  crossref  adsnasa  isi  scopus
    7. Plantz N.W.M., Florez F.G., Stoof H.T.C., “Massive Dirac Fermions From Holography”, J. High Energy Phys., 2018, no. 4, 123  crossref  mathscinet  zmath  isi
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