Quantum high-frequency conductivity oscillations in graphene multilayers and nodal semimetals in a tilted magnetic field

  • Juan C. Medina Pantoja
  • Juan Sotelo-Campos
  • Igor V. Kozlov
Regular Article


A new type of angular oscillations of the high-frequency conductivity for conductors with a band-contact line has been predicted. The effect is caused by groups of charge carriers near the self-intersection points of the Fermi surface, where the electron energy spectrum is near-linear and can be described by anisotropic Dirac cone model. The amplitude of the resonance peaks satisfies the simple sum rule. The ease in changing the degree of anisotropy of the Dirac cone due to the angle of inclination of the magnetic field makes the considered type of oscillations attractive for experimental observation of relativistic effects.


Solid State and Materials 


  1. 1.
    M. Hirayama, R. Okugawa, T. Miyake, S. Murakami, Nat. Commun. 8, 14022 (2017)ADSCrossRefGoogle Scholar
  2. 2.
    G.P. Mikitik, Yu.V. Sharlai, Phys. Rev. B 90, 155122 (2014)ADSCrossRefGoogle Scholar
  3. 3.
    G.P. Mikitik, Yu.V. Sharlai, Fiz. Nizk. Temp. 34, 1012 (2008) [Low Temp. Phys. 34, 794 (2008)]Google Scholar
  4. 4.
    J. Sári, M.O. Goerbig, C. Tőke, Phys. Rev. B 92, 035306 (2015)ADSCrossRefGoogle Scholar
  5. 5.
    T. Morinari, T. Tohyama, J. Phys. Soc. Jpn 79, 044708 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    I. Proskurin, M. Ogata, Y. Suzumura, Phys. Rev. B 91, 195413 (2015)ADSCrossRefGoogle Scholar
  7. 7.
    M.O. Goerbig, Rev. Mod. Phys. 83, 1193 (2011)ADSCrossRefGoogle Scholar
  8. 8.
    V. Lukose, R. Shankar, G. Baskaran, Phys. Rev. Lett. 98, 116802 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    T. Morinari, T. Himura, T. Tohyama, J. Phys. Soc. Jpn 78, 023704 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    N. Tajima, T. Yamauchi, T. Yamaguchi, M. Suda, Y. Kawasugi, H.M. Yamamoto, R. Kato, Y. Nishio, K. Kajita, PRB 88, 075315 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    N. Tajima, S. Sugawara, R. Kato, Y. Nishio, K. Kajita, Phys. Rev. Lett. 102, 176403 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    M. Orlita, P. Neugebauer, C. Faugeras, A.-L. Barra, M. Potemski, F.M.D. Pellegrino, D.M. Basko, Phys. Rev. Lett. 108, 017602 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    A.A. Abrikosov, Phys. Rev. B 60, 4231 (1999)ADSCrossRefGoogle Scholar
  14. 14.
    I. Lobato, B. Partoens, Phys. Rev. B 83, 165429 (2011)ADSCrossRefGoogle Scholar
  15. 15.
    J.-K. Lee, S.-C. Lee, J.-P. Ahn, S.-C. Kim, J.I.B. Wilson, P. John, J. Chem. Phys. 129, 234709 (2008)ADSCrossRefGoogle Scholar
  16. 16.
    I.V. Kozlov, J.C. Medina Pantoja, Fiz. Nizk. Temp. 40, 706 (2014) [Low Temp. Phys. 40, 547 (2014)]Google Scholar
  17. 17.
    M.S. Dresselhaus, G. Dresselhaus, Adv. Phys. 51, 1 (1980), 2002ADSCrossRefGoogle Scholar
  18. 18.
    A. Grüneis, C. Attaccalite, A. Rubio, D.V. Vyalikh, S.L. Molodtsov, J. Fink, R. Follath, W. Eberhardt, B. Büchner, T. Pichler, Phys. Rev. B 80, 075431 (2009)ADSCrossRefGoogle Scholar
  19. 19.
    G. Wang, W.R. Datars, P.K. Ummat, Phys. Rev. B 44, 8294 (1991)ADSCrossRefGoogle Scholar
  20. 20.
    I.M. Lifshitz, M.Ya. Azbel, A.A. Slutskin, Zh. Eksp. Teor. Fiz. 43, 1464 (1962) [Sov. Phys. J. Exp. Theor. Phys. 16, 1035 (1963)]Google Scholar
  21. 21.
    N.M. Temme, J. Appl. Math. Phys. (ZAMP) 41, 114 (1990)CrossRefGoogle Scholar
  22. 22.
    S. Das Sarma, S. Adam, E.H. Hwang, E. Rossi, Rev. Mod. Phys. 83, 407 (2011)ADSCrossRefGoogle Scholar
  23. 23.
    J.W. MacClure, Phys. Rev. 108, 612 (1957)ADSCrossRefGoogle Scholar
  24. 24.
    J.C. Slonczewski, P.S. Weiss, Phys. Rev. 109, 272 (1958)ADSCrossRefGoogle Scholar
  25. 25.
    N.A. Goncharuk, L. Nádvorník, C. Faugeras, M. Orlita, L. Smrčka, Phys. Rev. B 86, 155409 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    S.S. Pershoguba, D.S.L. Abergel, V.M. Yakovenko, A.V. Balatsky, Phys. Rev. B 91, 085418 (2015)ADSCrossRefGoogle Scholar
  27. 27.
    S. Tchoumakov, M. Civelli, M.O. Goerbig, Phys. Rev. Lett. 117, 086402 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    I.V. Kozlov, J. Sotelo-Campos, J.C. Medina Pantoja, in Physical Phenomena in Solids, Proceedings of the XII International Conference, Kharkiv, 2015, edited by V.S. Krilovskiy, V.P. Poyda (V.N. Karasin Kharkiv National University, Kharkiv, Ukraine, 2015), p. 35Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Laboratorio de Ciencias de los Materiales, Facultad de Ciencias y Filosofía, Universidad Peruana Cayetano HerediaLimaPeru
  2. 2.B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineKharkivUkraine

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