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Письма в ЖЭТФ, 2010, том 91, выпуск 4, страницы 215–219 (Mi jetpl658)  

Эта публикация цитируется в 33 научных статьях (всего в 33 статьях)


Topological superfluid $^3$He-B in magnetic field and Ising variable

G. E. Volovikab

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

Аннотация: The topological superfluid $^3$He-B provides many examples of the interplay of symmetry and topology. Here we consider the effect of magnetic field on topological properties of $^3$He-B. Magnetic field violates the time reversal symmetry. As a result, the topological invariant supported by this symmetry ceases to exist; and thus the gapless fermions on the surface of $^3$He-B are not protected any more by topology: they become fully gapped. Nevertheless, if perturbation of symmetry is small, the surface fermions remain relativistic with mass proportional to symmetry violating perturbation – magnetic field. The $^3$He-B symmetry gives rise to the Ising variable $I=\pm1$, which emerges in magnetic field and which characterizes the states of the surface of $^3$He-B. This variable also determines the sign of the mass term of surface fermions and the topological invariant describing their effective Hamiltonian. The line on the surface, which separates the surface domains with different $I$, contains $1+1$ gapless fermions, which are protected by combined action of symmetry and topology.

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Англоязычная версия:
Journal of Experimental and Theoretical Physics Letters, 2010, 91:4, 201–205

Реферативные базы данных:

Поступила в редакцию: 18.01.2010
Язык публикации: английский

Образец цитирования: G. E. Volovik, “Topological superfluid $^3$He-B in magnetic field and Ising variable”, Письма в ЖЭТФ, 91:4 (2010), 215–219; JETP Letters, 91:4 (2010), 201–205

Цитирование в формате AMSBIB
\by G.~E.~Volovik
\paper Topological superfluid $^3$He-B in magnetic field and Ising variable
\jour Письма в ЖЭТФ
\yr 2010
\vol 91
\issue 4
\pages 215--219
\jour JETP Letters
\yr 2010
\vol 91
\issue 4
\pages 201--205

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    Эта публикация цитируется в следующих статьяx:
    1. Mizushima T., Machida K., “Effects of Majorana Edge Fermions on Dynamical Spin Susceptibility in Topological Superfluid He-3-B”, Journal of Low Temperature Physics, 162:3–4 (2011), 204–211  crossref  adsnasa  isi  scopus
    2. Clovecko M., Gazo E., Kupka M., Skyba M., Skyba P., “High Quality Tuning Forks in Superfluid He-3-B Below 200 mu K”, Journal of Low Temperature Physics, 162:5–6 (2011), 669–677  crossref  adsnasa  isi  scopus
    3. Silaev M.A., “Majorana states and longitudinal NMR absorption in a He-3-B film”, Physical Review B, 84:14 (2011), 144508  crossref  adsnasa  isi  elib  scopus
    4. Higashitani S., Matsuo S., Nagato Y., Nagai K., Murakawa S., Nomura R., Okuda Y., “Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid He-3”, Physical Review B, 85:2 (2012), 024524  crossref  adsnasa  isi  elib  scopus
    5. Mizushima T., Sato M., Machida K., “Symmetry Protected Topological Order and Spin Susceptibility in Superfluid He-3-B”, Phys. Rev. Lett., 109:16 (2012), 165301  crossref  adsnasa  isi  elib  scopus
    6. Mizushima T., “Superfluid He-3 in a Restricted Geometry with a Perpendicular Magnetic Field”, Phys. Rev. B, 86:9 (2012), 094518  crossref  adsnasa  isi  elib  scopus
    7. Okuda Y., Nomura R., “Surface Andreev Bound States of Superfluid He-3 and Majorana Fermions”, J. Phys.-Condes. Matter, 24:34 (2012), 343201  crossref  isi  scopus
    8. Wetterich C., “Universality of Geometry”, Phys. Lett. B, 712:1-2 (2012), 126–131  crossref  mathscinet  adsnasa  isi  elib  scopus
    9. Stone M., “Gravitational Anomalies and Thermal Hall Effect in Topological Insulators”, Phys. Rev. B, 85:18 (2012), 184503  crossref  adsnasa  isi  elib  scopus
    10. Mizushima T., Kawakami T., Tsutsumi Y., Ichioka M., Machida K., “Majorana Fermions Bound at Vortices and Surface of Superfluid He-3”, 26th International Conference on Low Temperature Physics (Lt26), Pts 1-5, Journal of Physics Conference Series, 400, IOP Publishing Ltd, 2012, 012051  crossref  isi  scopus
    11. Mizushima T., Machida K., “Magnetic Field Induced a-B Phase Transition and Edge States of Superfluid He-3 Confined in a Slab Geometry”, 26th International Conference on Low Temperature Physics (Lt26), Pts 1-5, Journal of Physics Conference Series, 400, IOP Publishing Ltd, 2012, 012052  crossref  isi  scopus
    12. Ueno Yu., Yamakage A., Tanaka Yu., Sato M., “Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2Ruo4”, Phys. Rev. Lett., 111:8 (2013), 087002  crossref  adsnasa  isi  elib  scopus
    13. Wu H. Sauls J.A., “Majorana Excitations, Spin and MASS Currents on the Surface of Topological Superfluid He-3-B”, Phys. Rev. B, 88:18 (2013), 184506  crossref  adsnasa  isi  elib  scopus
    14. Katsnelson M.I. Volovik G.E., “Topological Matter: Graphene and Superfluid He”, J. Low Temp. Phys., 175:5-6 (2014), 655–666  crossref  adsnasa  isi  elib  scopus
    15. 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
    16. Mizushima T., “Odd-Frequency Pairing and Ising Spin Susceptibility in Time-Reversal-Invariant Superfluids and Superconductors”, Phys. Rev. B, 90:18 (2014), 184506  crossref  adsnasa  isi  elib  scopus
    17. Shiozaki K. Sato M., “Topology of Crystalline Insulators and Superconductors”, Phys. Rev. B, 90:16 (2014), 165114  crossref  adsnasa  isi  elib  scopus
    18. Levitin L.V., Bennett R.G., Casey A., Cowan B., Saunders J., Drung D., Schurig T., Parpia J.M., Ilic B., Zhelev N., “Study of Superfluid He Under Nanoscale Confinement”, J. Low Temp. Phys., 175:5-6 (2014), 667–680  crossref  adsnasa  isi  elib  scopus
    19. Makhlin Yu. Silaev M. Volovik G.E., “Topology of the Planar Phase of Superfluid He-3 and Bulk-Boundary Correspondence For Three-Dimensional Topological Superconductors”, Phys. Rev. B, 89:17 (2014), 174502  crossref  adsnasa  isi  elib  scopus
    20. Nomura R. Murakawa S. Wasai M. Akiyama K. Nakao T. Okuda Yu., “Surface Majorana Cone of the Topological Superfluid He-3 B Phase”, Physica E, 55:SI (2014), 42–47  crossref  adsnasa  isi  elib  scopus
    21. 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
    22. Akiyama K., Wasai M., Mashino M., Nakao T., Murakawa S., Nomura R., Okuda Yu., “Transverse Acoustic Impedance of Superfluid He-3 B Phase in Weak Magnetic Fields”, J. Phys. Soc. Jpn., 84:6 (2015), 065001  crossref  adsnasa  isi  scopus
    23. Taylor E. Berlinsky A.J. Kallin C., “Locally Gauge-Invariant Spin Response of He-3-B Films With Majorana Surface States”, Phys. Rev. B, 91:13 (2015), 134505  crossref  adsnasa  isi  elib  scopus
    24. Mizushima T. Tsutsumi Ya. Kawakami T. Sato M. Ichioka M. Machida K., “Symmetry-Protected Topological Superfluids and Superconductors-From the Basics To He-3”, J. Phys. Soc. Jpn., 85:2 (2016), 022001  crossref  adsnasa  isi  scopus
    25. Xiong Yu., Yamakage A., Kobayashi Sh., Sato M., Tanaka Yu., “Anisotropic Magnetic Responses of Topological Crystalline Superconductors”, Crystals, 7:2 (2017), 58  crossref  zmath  isi  scopus
    26. Volovik G.E. Zubkov M.A., “Standard model as the topological material”, New J. Phys., 19 (2017), 015009  crossref  isi  scopus
    27. Langbehn J., Peng Ya., Trifunovic L., von Oppen F., Brouwer P.W., “Reflection-Symmetric Second-Order Topological Insulators and Superconductors”, Phys. Rev. Lett., 119:24 (2017), 246401  crossref  isi  scopus
    28. He Ch., “Quasiparticle Interference in Two-Dimensional Topological Crystalline Superconductors”, EPL, 120:2 (2017), 27003  crossref  isi  scopus
    29. Zubkov M.A., “Momentum Space Topology of QCD”, Ann. Phys., 393 (2018), 264–287  crossref  mathscinet  zmath  isi  scopus
    30. Silaev M.A., “Quasiclassical Theory of Spin Dynamics in Superfluid He-3: Kinetic Equations in the Bulk and Spin Response of Surface Majorana States”, J. Low Temp. Phys., 191:5-6, SI (2018), 393–407  crossref  isi  scopus
    31. Calugaru D., Juricic V., Roy B., “Higher-Order Topological Phases: a General Principle of Construction”, Phys. Rev. B, 99:4 (2019), 041301  crossref  isi  scopus
    32. Trifunovic L., Brouwer P.W., “Higher-Order Bulk-Boundary Correspondence For Topological Crystalline Phases”, Phys. Rev. X, 9:1 (2019), 011012  crossref  mathscinet  isi  scopus
    33. Clovecko M., Gazo E., Skyba M., Skyba P., “Nmr-Like Effect on the Anisotropic Magnetic Moment of Surface Bound States in the Topological Superfluid He-3-B”, Phys. Rev. B, 99:10 (2019), 104518  crossref  isi  scopus
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