RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Pis'ma v Zh. Èksper. Teoret. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Pis'ma v Zh. Èksper. Teoret. Fiz., 2011, Volume 93, Issue 2, Pages 69–72 (Mi jetpl1807)  

This article is cited in 53 scientific papers (total in 53 papers)

CONDENSED MATTER

Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points

G. E. Volovikab

a Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
b Low Temperature Laboratory, Aalto University, School of Science and Technology, FI-00076 AALTO, Finland

Abstract: We discuss the dispersionless spectrum with zero energy in the linear topological defects – vortices. The flat band emerges inside the vortex living in the bulk medium containing topologically stable Fermi points in momentum space. The boundaries of the flat band in the vortex are determined by projections of the Fermi points in bulk to the vortex axis. This bulk-vortex correspondence for flat band is similar to the bulk-surface correspondence discussed earlier in the media with topologically protected lines of zeroes. In the latter case the flat band emerges on the surface of the system, and its boundary is determined by projection of the bulk nodal line on the surface.

Full text: PDF file (185 kB)
References: PDF file   HTML file

English version:
Journal of Experimental and Theoretical Physics Letters, 2011, 93:2, 66–69

Bibliographic databases:

Document Type: Article
Language: English

Citation: G. E. Volovik, “Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:2 (2011), 69–72; JETP Letters, 93:2 (2011), 66–69

Citation in format AMSBIB
\Bibitem{Vol11}
\by G.~E.~Volovik
\paper Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2011
\vol 93
\issue 2
\pages 69--72
\mathnet{http://mi.mathnet.ru/jetpl1807}
\transl
\jour JETP Letters
\yr 2011
\vol 93
\issue 2
\pages 66--69
\crossref{https://doi.org/10.1134/S0021364011020147}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000288864500005}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953139921}


Linking options:
  • http://mi.mathnet.ru/eng/jetpl1807
  • http://mi.mathnet.ru/eng/jetpl/v93/i2/p69

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. JETP Letters, 93:2 (2011), 59–65  mathnet  crossref  isi
    2. JETP Letters, 94:1 (2011), 81–85  mathnet  crossref  isi
    3. JETP Letters, 94:3 (2011), 233–239  mathnet  crossref  isi
    4. JETP Letters, 94:8 (2011), 653–659  mathnet  crossref  isi  elib  elib
    5. Brydon P.M.R., Schnyder A.P., Timm C., “Topologically protected flat zero-energy surface bands in noncentrosymmetric superconductors”, Physical Review B, 84:2 (2011), 020501  crossref  adsnasa  isi  elib  scopus
    6. Kopnin N.B., Heikkila T.T., Volovik G.E., “High-temperature surface superconductivity in topological flat-band systems”, Physical Review B, 83:22 (2011), 220503  crossref  adsnasa  isi  elib  scopus
    7. Mazza L., Bermudez A., Goldman N., Rizzi M., Angel Martin-Delgado M., Lewenstein M., “An optical-lattice-based quantum simulator for relativistic field theories and topological insulators”, New Journal of Physics, 14 (2012), 015007  crossref  adsnasa  isi  scopus
    8. Schnyder A.P., Brydon P.M.R., Timm C., “Types of topological surface states in nodal noncentrosymmetric superconductors”, Physical Review B, 85:2 (2012), 024522  crossref  adsnasa  isi  elib  scopus
    9. Silaev M.A. Volovik G.E., “Topological Fermi Arcs in Superfluid He-3”, Phys. Rev. B, 86:21 (2012), 214511  crossref  adsnasa  isi  elib  scopus
    10. Clark J.W. Zverev M.V. Khodel V.A., “Entropy Excess in Strongly Correlated Fermi Systems Near a Quantum Critical Point”, Ann. Phys., 327:12 (2012), 3063–3083  crossref  zmath  adsnasa  isi  elib  scopus
    11. Shaginyan V.R. Msezane A.Z. Popov K.G. Clark J.W. Zverev M.V. Khodel V.A., “Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal Cecoin5”, Phys. Rev. B, 86:8 (2012), 085147  crossref  adsnasa  isi  elib  scopus
    12. Cho G.Y., Bardarson J.H., Lu Yu.-M., Moore J.E., “Superconductivity of Doped Weyl Semimetals: Finite-Momentum Pairing and Electronic Analog of the He-3-a Phase”, Phys. Rev. B, 86:21 (2012), 214514  crossref  adsnasa  isi  elib  scopus
    13. Meng T., Balents L., “Weyl Superconductors”, Phys. Rev. B, 86:5 (2012), 054504  crossref  adsnasa  isi  elib  scopus
    14. Ryu Sh., Nomura K., “Disorder-Induced Quantum Phase Transitions in Three-Dimensional Topological Insulators and Superconductors”, Phys. Rev. B, 85:15 (2012), 155138  crossref  adsnasa  isi  elib  scopus
    15. Tran Huu Phat Nguyen Van Thu, “Lifshitz Phase Transition in Nuclear Matter”, Phys. Rev. C, 87:2 (2013), 024321  crossref  isi  scopus
    16. Matsuura Sh. Chang P.-Ya. Schnyder A.P. Ryu Sh., “Protected Boundary States in Gapless Topological Phases”, New J. Phys., 15 (2013), 065001  crossref  mathscinet  isi  elib  scopus
    17. Brydon P.M.R. Timm C. Schnyder A.P., “Interface Currents in Topological Superconductor-Ferromagnet Heterostructures”, New J. Phys., 15 (2013), 045019  crossref  mathscinet  isi  elib  scopus
    18. Kopnin N.B. Ijas M. Harju A. Heikkila T.T., “High-Temperature Surface Superconductivity in Rhombohedral Graphite”, Phys. Rev. B, 87:14 (2013), 140503  crossref  adsnasa  isi  elib  scopus
    19. Galvis J.A., Rodiere P., Guillamon I., Osorio M.R., Rodrigo J.G., Cario L., Navarro-Moratalla E., Coronado E., Vieira S., Suderow H., “Scanning Tunneling Measurements of Layers of Superconducting 2H-Tase2: Evidence for a Zero-Bias Anomaly in Single Layers”, Phys. Rev. B, 87:9 (2013), 094502  crossref  adsnasa  isi  elib  scopus
    20. Volovik G.E., “Flat Band in Topological Matter Possible Route to Room-Temperature Superconductivity”, J. Supercond. Nov. Magn, 26:9 (2013), 2887–2890  crossref  isi  elib  scopus
    21. You J.-B., Chan A.H., Oh C.H., Vedral V., “Topological Quantum Phase Transitions in the Spin-Singlet Superconductor with Rashba and Dresselhaus (110) Spin-Orbit Couplings”, Ann. Phys., 349 (2014), 189–200  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    22. Yang Sh.A., Pan H., Zhang F., “Dirac and Weyl Superconductors in Three Dimensions”, Phys. Rev. Lett., 113:4 (2014), 046401  crossref  adsnasa  isi  scopus
    23. Tran Huu Phat Nguyen Van Thu, “Topological Phase Transition in Asymmetric Nuclear Matter”, Int. J. Mod. Phys. E-Nucl. Phys., 23:5 (2014), 1450031  crossref  isi  scopus
    24. Deng Sh., Ortiz G., Poudel A., Viola L., “Majorana Flat Bands in S-Wave Gapless Topological Superconductors”, Phys. Rev. B, 89:14 (2014), 140507  crossref  adsnasa  isi  elib  scopus
    25. Paananen T. Gerber H. Goette M. Dahm T., “Appearance of Flat Surface Bands in Three-Dimensional Topological Insulators in a Ferromagnetic Exchange Field”, New J. Phys., 16 (2014), 033019  crossref  isi  elib  scopus
    26. Casana R., Gomes A.R., Menezes R., Simas F.C., “Trapping of Spin-0 Fields on Tube-Like Topological Defects”, Phys. Lett. B, 730 (2014), 8–13  crossref  zmath  adsnasa  isi  elib  scopus
    27. 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
    28. Chang P.-Ya., Matsuura Sh., Schnyder A.P., Ryu Sh., “Majorana Vortex-Bound States in Three-Dimensional Nodal Noncentrosymmetric Superconductors”, Phys. Rev. B, 90:17 (2014), 174504  crossref  adsnasa  isi  scopus
    29. Hyart T. Wright A.R. Rosenow B., “Zeeman-Field-Induced Topological Phase Transitions in Triplet Superconductors”, Phys. Rev. B, 90:6 (2014), 064507  crossref  adsnasa  isi  elib  scopus
    30. Sbierski B., Pohl G., Bergholtz E.J., Brouwer P.W., “Quantum Transport of Disordered Weyl Semimetals At the Nodal Point”, Phys. Rev. Lett., 113:2 (2014), 026602  crossref  adsnasa  isi  elib  scopus
    31. 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
    32. Lu B., Yada K., Sato M., Tanaka Yu., “Crossed Surface Flat Bands of Weyl Semimetal Superconductors”, Phys. Rev. Lett., 114:9 (2015), 096804  crossref  adsnasa  isi  elib  scopus
    33. Paananen T. Dahm T., “Topological Flat Bands in Optical Checkerboardlike Lattices”, Phys. Rev. A, 91:3 (2015), 033604  crossref  adsnasa  isi  elib  scopus
    34. Pan H., Li X., Jiang H., Yao Yu., Yang Sh.A., “Valley-Polarized Quantum Anomalous Hall Phase and Disorder-Induced Valley-Filtered Chiral Edge Channels”, Phys. Rev. B, 91:4 (2015), 045404  crossref  adsnasa  isi  scopus
    35. Khodel V.A., “Theory of Fermion Condensation as An Analog of the Liquid-Drop Theory of Atomic Nuclei”, Phys. Atom. Nuclei, 78:1 (2015), 20–23  crossref  adsnasa  isi  elib  scopus
    36. JETP Letters, 101:6 (2015), 413–418  mathnet  crossref  crossref  isi  elib  elib
    37. Volovik G.E., “From Standard Model of Particle Physics To Room-Temperature Superconductivity”, Phys. Scr., T164 (2015)  crossref  isi  scopus
    38. Yin Sh. Baarsma J.E. Heikkinen M.O.J. Martikainen J.-P. Torma P., “Superfluid Phases of Fermions With Hybridized S and P Orbitals”, Phys. Rev. A, 92:5 (2015), 053616  crossref  mathscinet  adsnasa  isi  elib  scopus
    39. Schnyder A.P. Brydon Ph.M.R., “Topological Surface States in Nodal Superconductors”, J. Phys.-Condes. Matter, 27:24 (2015), 243201  crossref  adsnasa  isi  scopus
    40. Casana R., Gomes A.R., Simas F.C., “Trapping Spin-0 Particles on P-Balls in (D, 1) Dimensions”, J. High Energy Phys., 2015, no. 6, 135  crossref  mathscinet  zmath  isi  elib  scopus
    41. Lee D. Schnyder A.P., “Structure of Vortex-Bound States in Spin-Singlet Chiral Superconductors”, Phys. Rev. B, 93:6 (2016), 064522  crossref  mathscinet  adsnasa  isi  scopus
    42. Yoshida T., Yanase Y., “Topological D Plus P-Wave Superconductivity in Rashba Systems”, Phys. Rev. B, 93:5 (2016), 054504  crossref  adsnasa  isi  elib  scopus
    43. JETP Letters, 104:3 (2016), 201–203  mathnet  crossref  crossref  isi  elib
    44. Daido A., Yanase Y., “Paramagnetically induced gapful topological superconductors”, Phys. Rev. B, 94:5 (2016), 054519  crossref  mathscinet  isi  elib  scopus
    45. Yoshida T. Udagawa M., “Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors”, Phys. Rev. B, 94:6 (2016), 060507  crossref  isi  elib  scopus
    46. Yanase Y., Phys. Rev. B, 94:17 (2016), 174502  crossref  isi  elib  scopus
    47. Chiu Ch.-K., Teo J.C.Y., Schnyder A.P., Ryu Sh., “Classification of topological quantum matter with symmetries”, Rev. Mod. Phys., 88:3 (2016), 035005  crossref  isi  elib  scopus
    48. Hashimoto K. Kimura T., “Topological number of edge states”, Phys. Rev. B, 93:19 (2016), 195166  crossref  isi  elib  scopus
    49. Timm C., Schnyder A.P., Agterberg D.F., Brydon P.M.R., “Inflated Nodes and Surface States in Superconducting Half-Heusler Compounds”, Phys. Rev. B, 96:9 (2017), 094526  crossref  isi  scopus
    50. Shukla P., “Disorder Perturbed Flat Bands: Level Density and Inverse Participation Ratio”, Phys. Rev. B, 98:5 (2018), 054206  crossref  isi  scopus
    51. Alidoust M. Willatzen M. Jauho A.-P., “Strain-Engineered Majorana Zero Energy Modes and ?0 Josephson State in Black Phosphorus”, Phys. Rev. B, 98:8 (2018)  crossref  isi  scopus
    52. Wang R., Li C., Zhang X.Z., Song Z., “Dynamical Bulk-Edge Correspondence For Degeneracy Lines in Parameter Space”, Phys. Rev. B, 98:1 (2018), 014303  crossref  isi  scopus
    53. JETP Letters, 107:2 (2018), 115–118  mathnet  crossref  crossref  isi  elib
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:197
    Full text:41
    References:24

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019