JETP Letters

, Volume 105, Issue 8, pp 497–501 | Cite as

Unconventional pairing in three-dimensional topological insulators with a warped surface state

  • A. S. VasenkoEmail author
  • A. A. Golubov
  • V. M. Silkin
  • E. V. Chulkov
Condensed Matter


We study the effect of the Fermi surface anisotropy (hexagonal warping) on the superconducting pair potential, induced in a three-dimensional topological insulator (TI) by proximity with an s-wave superconductor (S) in presence of a magnetic moment of a nearby ferromagnetic insulator (FI). In the previous studies, similar problem was treated with a simplified Hamiltonian, describing an isotropic Dirac cone dispersion. This approximation is only valid near the Dirac point. However, in topological insulators, the chemical potential often lies well above this point, where the Dirac cone is strongly anisotropic and its constant energy contour has a snowflake shape. Taking into account this shape, we show that a very exotic pair potential is induced on the topological insulator surface. Based on the symmetry arguments we also discuss the possibility of a supercurrent flowing along the S/FI interface, when an S/FI hybrid structure is formed on the TI surface.


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Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  • A. S. Vasenko
    • 1
    Email author
  • A. A. Golubov
    • 2
    • 3
  • V. M. Silkin
    • 4
    • 5
  • E. V. Chulkov
    • 4
    • 6
  1. 1.National Research University Higher School of EconomicsMoscowRussia
  2. 2.Faculty of Science and Technology and MESA+ Institute for NanotechnologyUniversity of TwenteEnschedeThe Netherlands
  3. 3.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow regionRussia
  4. 4.Departamento de Física de Materiales, Facultad de Ciencias QuímicasUPV/EHUSan Sebastián, Basque CountrySpain
  5. 5.IKERBASQUEBasque Foundation for ScienceBilbaoSpain
  6. 6.Tomsk State UniversityTomskRussia

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