Flat Band in Topological Matter
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  • 作者:G. E. Volovik (1) (2)
  • 关键词:Weyl point ; Flat band ; Fermi arc ; Surface superconductivity
  • 刊名:Journal of Superconductivity Incorporating Novel Magnetism
  • 出版年:2013
  • 出版时间:September 2013
  • 年:2013
  • 卷:26
  • 期:9
  • 页码:2887-2890
  • 全文大小:391KB
  • 参考文献:1. Volovik, G.E.: The Universe in a Helium Droplet. Clarendon, Oxford (2003)
    2. Essin, A.M., Gurarie, V.: Bulk-boundary correspondence of topological insulators from their Green’s functions. Phys. Rev. B 84, 125132 (2011) CrossRef
    3. Khodel, V.A., Shaginyan, V.R.: Superfluidity in system with fermion condensate. JETP Lett. 51, 553 (1990)
    4. Volovik, G.E.: A new class of normal Fermi liquids. Pis’ma Zh. Eksp. Teor. Fiz. 53, 222-25 (1991) [JETP Lett. 53, 222 (1991)]
    5. Schnyder, A.P., Ryu, S.: Topological phases and flat surface bands in superconductors without inversion symmetry. Phys. Rev. B 84, 060504(R) (2011). arXiv:1011.1438
    6. Heikkil?, T.T., Kopnin, N.B., Volovik, G.E.: Flat bands in topological media. Pis’ma Zh. Eksp. Teor. Fiz. 94, 252-58 (2011)
    7. Tsutsumi, Y., Ichioka, M., Machida, K.: Majorana surface states of superfluid 3He A and B phases in a slab. Phys. Rev. B 83, 094510 (2011) CrossRef
    8. Wan, X., Turner, A.M., Vishwanath, A., Savrasov, S.Y.: Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys. Rev. B 83, 205101 (2011) CrossRef
    9. Burkov, A.A., Balents, L.: Weyl semimetal in a topological insulator multilayer. Phys. Rev. Lett. 107, 127205 (2011) CrossRef
    10. Volovik, G.E.: Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points. Pis’ma Zh. Eksp. Teor. Fiz. 93, 69-2 (2011) [JETP Lett. 93, 66 (2011)]
    11. Abrikosov, A.A., Beneslavskii, S.D.: Possible existence of substances intermediate between metals and dielectrics. Sov. Phys. JETP 32, 699-08 (1971)
    12. Klinkhamer, F.R., Volovik, G.E.: Emergent CPT violation from the splitting of Fermi points. Int. J. Mod. Phys. A 20, 2795 (2005) CrossRef
    13. Klinkhamer, F.R., Volovik, G.E.: Superluminal neutrino and spontaneous breaking of Lorentz invariance. Pis’ma Zh. Eksp. Teor. Fiz. 94, 731-33 (2011)
    14. Volkov, B.A., Gorbatsevich, A.A., Kopaev, Yu.V., Tugushev, V.V.: Macroscopic current states in crystals. J. Exp. Theor. Phys. 54, 391-97 (1981)
    15. Volkov, B.A., Pankratov, O.A.: Two-dimensional massless electrons in an inverted contact. JETP Lett. 42, 178-81 (1985)
    16. Hasan, M.Z., Kane, C.L.: Topological insulators. Rev. Mod. Phys. 82, 3045-067 (2010) CrossRef
    17. Qi, X.-L., Zhang, S.-C.: Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057-110 (2011) CrossRef
    18. Nomura, K., Ryu, S., Furusaki, A., Nagaosa, N.: Cross-correlated responses of topological superconductors and superfluids. Phys. Rev. Lett. 108, 026802 (2012) CrossRef
    19. Stone, M.B.: Gravitational anomalies and thermal Hall effect in topological insulators. arXiv:1201.4095
    20. Kopnin, N.B., Salomaa, M.M.: Mutual friction in superfluid 3He: effects of bound states in the vortex core. Phys. Rev. B 44, 9667-677 (1991) CrossRef
    21. Kopaev, Yu.V., Rusinov, A.I.: Enhancement of superconducting critical temperature due to metal-semiconductor transition. Phys. Lett. A 121, 300-04 (1987) CrossRef
    22. Kopnin, N.B., Heikkil?, T.T., Volovik, G.E.: High-temperature surface superconductivity in topological flat-band systems. Phys. Rev. B 83, 220503(R) (2011) CrossRef
    23. Kopnin, N.B.: Surface superconductivity in multilayered rhombohedral graphene: supercurrent. Pis’ma Zh. Eksp. Teor. Fiz. 94, 81-5 (2011). arXiv:1105.1883
    24. Alicea, J.: New directions in the pursuit of Majorana fermions in solid state systems. Rep. Prog. Phys. 75, 076501 (2012) CrossRef
    25. Volovik, G.E.: Topology of quantum vacuum. arXiv:1111.4627
    26. Zubkov, M.A., Volovik, G.E.: Topological invariants for the 4D systems with mass gap. Nucl. Phys. B 860, 295-09 (2012) CrossRef
    27. da Silva, R.R., Torres, J.H.S., Kopelevich, Y.: Indication of superconductivity at 35 K in graphite-sulfur composites. Phys. Rev. Lett. 87, 147001 (2001) CrossRef
    28. Lukyanchuk, I.A., Kopelevich, Y., El Marssi, M.: Dirac fermions in graphite: the state of art. Physica B 404, 404-06 (2009) CrossRef
  • 作者单位:G. E. Volovik (1) (2)

    1. O.V. Lounasmaa Laboratory, Aalto University, P.O. Box 15100, 00076, Aalto, Finland
    2. L.D. Landau Institute for Theoretical Physics, Kosygina 2, 119334, Moscow, Russia
文摘
Topological media are systems whose properties are protected by topology, and thus are robust to deformations of the system. In topological insulators and superconductors, the bulk-surface and bulk-vortex correspondence gives rise to the gapless Weyl, Dirac, or Majorana fermions on the surface of the system and inside vortex cores. In gapless topological media, the bulk-surface and bulk-vortex correspondence produce topologically protected gapless fermions without dispersion—the flat band. Fermion zero modes forming the flat band are localized on the surface of topological media with protected nodal lines and in the vortex core in systems with topologically protected Fermi points (Weyl points). Flat band has an extremely singular density of states, and this property may give rise in particular to surface superconductivity, which in principle could exist even at room temperature.

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