Topological Insulator: Surface Localized States

  • Yu. N. OvchinnikovEmail author
Original Paper


The possibility of formation of the localized states near the surface for the sample with small energy gap value in the bulk excitation spectrum is analysed. The existence of such a phenomenon is more realistic for narrow gap insulator with conic singularity in the excitation spectrum. Nevertheless, existence of such singularity is not sufficient for formation of surface localized states. Essential role is played by additional potential, which creates the surface.


Localization Energy gap Vortex in superconductors Surface potential Propagation in one directions 



The author thanks Prof. Jeroen van den Brink for hospitality in LIFW and DFG for assignment Mercator-Professoren-Stipendium.


  1. 1.
    Caroli, C., de Gennes, P.-G., Matricon, J.: Phys. Rev. Lett. 9, 307 (1964)CrossRefGoogle Scholar
  2. 2.
    Abricosov, A.A., Gor’kov, L.P., Dsjaloschinski, I.E.: Methods of quantum field theory in statistical physics (1963)Google Scholar
  3. 3.
    Larkin, A.I., Ovchinnikov, Y.N.: Phys. Rev. B 57, 5457 (1998)ADSCrossRefGoogle Scholar
  4. 4.
    Read, N., Green, D.: Phys. Rev. B 61, 10268 (2000)CrossRefGoogle Scholar
  5. 5.
    Hasan, M.Z., Kane, C.L.: Rev. Mod. Phys. 82, 3045 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    Lu, L., Joannopoulos, J.D., Soljac̆ic̆, M.: . Nat. Photon. 8, 821 (2014)Google Scholar
  7. 7.
    Chulaevsky, V.A., Sinai, Y.G.: Rev. Math. Phys. 3(3), 241–284 (1991)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Max-Planck Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRASChernogolvkaRussia

Personalised recommendations