JETP Letters

, Volume 106, Issue 11, pp 739–742 | Cite as

Entanglement Spectrum in Superfluid Phases of 3He

  • Yu. Makhlin
Condensed Matter


The entanglement spectrum of superfluid phases of 3He, the 3D B-phase and the planar phase in two dimensions, has been analyzed. The wavefunctions of the low-lying eigenstates, including Majorana zero modes, as well as the corresponding part of the spectrum of the entanglement Hamiltonian, have been found explicitly.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    C. Wang, C.-H. Lin, and M. Levin, Phys. Rev. X 6, 021015 (2016).Google Scholar
  2. 2.
    A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006).ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006).ADSCrossRefGoogle Scholar
  4. 4.
    H. Li and F. D. M. Haldane, Phys. Rev. Lett. 101, 010504 (2008).ADSCrossRefGoogle Scholar
  5. 5.
    L. Fidkowski, Phys. Rev. Lett. 104, 130502 (2010).ADSCrossRefGoogle Scholar
  6. 6.
    A. M. Turner, Y. Zhang, and A. Vishwanath, Phys. Rev. B 82, 241102R (2010); arXiv:0909.3119.ADSCrossRefGoogle Scholar
  7. 7.
    A. Chandran, M. Hermanns, N. Regnault, and B. A. Bernevig, Phys. Rev. B 84, 205136 (2011).ADSCrossRefGoogle Scholar
  8. 8.
    M. Hermanns, in: Topological Matter: Topological Insulators, Skyrmions and Majoranas, ed. by S. Blügel et al. (8); arXiv:1702.01525.Google Scholar
  9. 9.
    N. Regnault, in: Topological Aspects of Condensed Matter Physics, ed. by C. Chamon et al., pp. 165–215 (2017); arXiv:1510.07670.Google Scholar
  10. 10.
    Yu. Makhlin, M. Silaev, and G. Volovik, Phys. Rev. B 89, 174502 (2014).ADSCrossRefGoogle Scholar
  11. 11.
    G. Volovik, JETP Lett. 90, 398 (2009).ADSCrossRefGoogle Scholar
  12. 12.
    L. Levitin, R. Bennett, A. Casey, B. Cowan, L. Saunders, D. Drung, T. Schurig, and J. Parpia, Science 340, 841 (2013).ADSCrossRefGoogle Scholar
  13. 13.
    L. Levitin, R. Bennett, E. Surovtsev, J. Parpia, B. Cowan, and A. J. Casey, Phys. Rev. Lett. 111, 235304 (2013).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  1. 1.Condensed-matter Physics LaboratoryNational Research University Higher School of Economics101000Russia
  2. 2.Landau Institute for Theoretical PhysicsChernogolovka, Moscow regionRussia

Personalised recommendations