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Electron Topological Transitions of \(3\frac{1}{2}\) Kind in Metals

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Abstract

We consider electron topological transitions associated with certain points of band-contact lines in metals. These transitions are \(3\frac{1}{2}\) kind according to the classification of Lifshits and are widespread in metals with inversion symmetry and a weak spin–orbit interaction. The \(3\frac{1}{2}\)-order transitions can be detected with the magnetic susceptibility. As an example, we consider these transitions in graphite.

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References

  1. I.M. Lifshits, Zh. Eksp. Teor. Fiz. 38, 1569 (1960) [Sov. Phys. JETP 11, 1130 (1960)]

  2. I.M. Lifshits, M.Y. Azbel, M.I. Kaganov, Electron Theory of Metals (Consultants Bureau, New York, 1973)

    MATH  Google Scholar 

  3. A.A. Varlamov, V.S. Egorov, A.V. Pantsulaya, Adv. Phys. 38, 469 (1989)

    Article  ADS  Google Scholar 

  4. Y.M. Blanter, M.I. Kaganov, A.V. Pantsulaya, A.A. Varlamov, Phys. Rep. 245, 159 (1994)

    Article  ADS  Google Scholar 

  5. G.P. Mikitik, Yu.V. Sharlai, Phys. Rev. B 90, 155122 (2014)

  6. C. Herring, Phys. Rev. 52, 365 (1937)

    Article  ADS  Google Scholar 

  7. D.A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids (Plenum, New York, 1986)

    Google Scholar 

  8. G.P. Mikitik, Yu.V. Sharlai, Phys. Rev. B 73, 235112 (2006)

  9. G.P. Mikitik, Yu.V. Sharlai, Fiz. Nizk. Temp. 34, 1012 (2008) [Low Temp. Phys. 34, 794 (2008)]

  10. T.T. Heikkilä, G.E. Volovik, New J. Phys. 17, 093019 (2015)

    Article  ADS  Google Scholar 

  11. T.T. Heikkilä, G.E. Volovik, JETP Lett. 93, 59 (2011)

    Article  ADS  Google Scholar 

  12. D. Pierucci, H. Sediri, M. Hajlaoui, J.-C. Girard, T. Brumme, M. Calandra, E. Velez-Fort, G. Patriarche, M.G. Silly, G. Ferro, V. Soulière, M. Marangolo, F. Sirotti, F. Mauri, A. Ouerghi, ACS Nano 9, 5432 (2015)

    Article  Google Scholar 

  13. H. Weng, Y. Liang, Q. Xu, R. Yu, Z. Fang, X. Dai, Y. Kawazoe, Phys. Rev. B 92, 045108 (2015)

    Article  ADS  Google Scholar 

  14. D. Gosálbez-Martínez, I. Souza, D. Vanderbilt, Phys. Rev. B 92, 085138 (2015)

    Article  ADS  Google Scholar 

  15. L.S. Xie, L.M. Schoop, E.M. Seibel, Q.D. Gibson, W. Xie, R.J. Cava, APL Mater. 3, 083602 (2015)

    Article  ADS  Google Scholar 

  16. Y. Kim, B.J. Wieder, C.L. Kane, A.M. Rappe, Phys. Rev. Lett. 115, 036806 (2015)

    Article  ADS  Google Scholar 

  17. R. Yu, H. Weng, Z. Fang, X. Dai, X. Hu, Phys. Rev. Lett. 115, 036807 (2015)

    Article  ADS  Google Scholar 

  18. G.P. Mikitik, Yu.V. Sharlai, Zh. Eksp. Teor. Fiz. 114, 1375 (1998) [JETP 87, 747 (1998)]

  19. G.P. Mikitik, Yu.V. Sharlai, Phys. Rev. Lett. 82, 2147 (1999)

  20. G.P. Mikitik, Yu.V. Sharlai, Fiz. Nizk. Temp. 33, 586 (2007) [Low Temp. Phys. 33, 439 (2007)]

  21. G.P. Mikitik, I.V. Svechkarev, Fiz. Nizk. Temp. 15, 295 (1989) [Sov. J. Low Temp. Phys. 15, 165 (1989)]

  22. G.P. Mikitik, Yu.V. Sharlai, Fiz. Nizk. Temp. 22, 762 (1996) [Low Temp. Phys. 22, 585 (1996)]

  23. J.C. Slonzewski, P.R. Weiss, Phys. Rev. 109, 272 (1958)

    Article  ADS  Google Scholar 

  24. N.B. Brandt, S.M. Chudinov, Y.G. Ponomarev, Semimetals I. Graphite and its Compouds (Elsevier, Amsterdam, 1988)

    Google Scholar 

  25. G.P. Mikitik, Yu.V. Sharlai, Fiz. Nizk. Temp. 41, 1276 (2015) [Low Temp. Phys. 41, 996 (2015)]

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Mikitik, G.P., Sharlai, Y.V. Electron Topological Transitions of \(3\frac{1}{2}\) Kind in Metals. J Low Temp Phys 185, 686–691 (2016). https://doi.org/10.1007/s10909-016-1635-4

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  • DOI: https://doi.org/10.1007/s10909-016-1635-4

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