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Slow In-Plane Magnetoresistance Oscillations in Multiband Quasi-Two-Dimensional Metals

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Abstract

Slow oscillations (SlO) of magnetoresistance is a convenient tool to measure electronic structure parameters in quasi-two-dimensional metals. We study the possibility to apply this method to multi-band conductors, e.g., to iron-based high-temperature superconducting materials. We show that SlO can be used to measure the interlayer transfer integral in multi-band conductors similar to single-band metals. In addition, the SlO allow to measure and compare the effective masses or the electron scattering rates in various bands.

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Notes

  1. For a short-range disorder, the 2D electron wave function in magnetic field decays exponentially at distance larger than the Larmor radius [68, 69]. Therefore, for ΔyR L, the matrix element \({T}_{mm^{\prime }}\) is exponentially small resulting from the small overlap of the electron wave functions \({\Psi }_{m^{\prime }}^{\ast } (r_{\text {i}}) \Psi _{\text {m}} (r_{\text {i}}) \sim {\Psi }_{m}^{\ast } (r_{\text {i}} + \Delta y) \Psi _{\text {m}} (r_{\text {i}})\).

References

  1. Kamihara, Y., Watanabe, T., Hirano, M., Hosono, H.: J. Am. Chem. Soc 130, 3296 (2008)

    Article  Google Scholar 

  2. Sadovskii, M.V. Physics-Uspekhi 51, 1201 (2008)

    Article  ADS  Google Scholar 

  3. Paglione, J., Greene, R.L.: Nat. Phys. 6, 645 (2010)

    Article  Google Scholar 

  4. Johnston, D.C.: Adv. Phys. 59, 803 (2010)

    Article  ADS  Google Scholar 

  5. Wen, H.H., Li, S.: Annu. Rev. Cond. Matter Phys. 2, 121 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  6. Stewart, G.R.: Rev. Mod. Phys. 83, 1589 (2011)

    Article  ADS  Google Scholar 

  7. Dagotto, E.: Rev. Mod. Phys. 85, 849 (2013)

    Article  ADS  Google Scholar 

  8. Hirschfeld, P.J., Korshunov, M.M., Mazin, I.I.: Rep. Prog. Phys 74, 124508 (2011)

    Article  ADS  Google Scholar 

  9. Kuroki, K., Onari, S., Arita, R., Usui, H., Tanaka, Y., Kontani, H., Aoki, H.: Phys. Rev. Lett. 101, 087004 (2008)

    Article  ADS  Google Scholar 

  10. Mazin, I.I.: Nature (London) 464, 183 (2010)

    Article  ADS  Google Scholar 

  11. Chubukov, A.V.: Annu. Rev. Cond. Matter Phys. 3, 57 (2012)

    Article  Google Scholar 

  12. Korshunov, M.M.: Physics-Uspekhi 57, 813 (2014)

    Article  ADS  Google Scholar 

  13. Kontani, H., Onari, S.: Phys. Rev. Lett. 104, 157001 (2010)

    Article  ADS  Google Scholar 

  14. Bang, Y., Choi, H.-Y., Won, H.: Phys. Rev. B 79, 054529 (2009)

    Article  ADS  Google Scholar 

  15. Kordyuk, A.A., Zabolotnyy, V.B., Evtushinsky, D.V., Yaresko, A.N., Buechner, B., Borisenko, S.V.: J. Supercond. Nov. Magn. 26, 2837 (2013)

    Article  Google Scholar 

  16. Richard, P., Sato, T., Nakayama, K., Takahashi, T., Ding, H.: Rep. Prog. Phys. 74, 124512 (2011)

    Article  ADS  Google Scholar 

  17. Carrington, A.: Rep. Prog. Phys. 74, 124507 (2011)

    Article  ADS  Google Scholar 

  18. Coldea, A.I., Fletcher, J.D., Carrington, A., Analytis, J.G., Bangura, A.F., Chu, J.-H., Erickson, A.S., Fisher, I.R., Hussey, N.E., McDonald, R.D.: Phys. Rev. Lett. 101, 216402 (2008)

    Article  ADS  Google Scholar 

  19. Sugawara, H., Settai, R., Doi, Y., Muranaka, H., Katayama, K., Yamagami, H., Onuki, Y.: J. Phys. Soc. Jpn. 77, 113711 (2008)

    Article  ADS  Google Scholar 

  20. Sebastian, S.E., Gillett, J., Harrison, N., Lau, P.H.C., Singh, D.J., Mielke, C.H., Lonzarich, G.G.: J. Phys.: Condens. Matter 20, 422203 (2008)

    ADS  Google Scholar 

  21. Analytis, J.G., McDonald, R.D., Chu, J.-H., Riggs, S.C., Bangura, A.F., Kucharczyk, C., Johannes, M., Fisher, I.R.: Phys. Rev. B 80, 064507 (2009)

    Article  ADS  Google Scholar 

  22. Analytis, J.G., Andrew, C.M.J., Coldea, A.I., McCollam, A., Chu, J.-H., McDonald, R.D., Fisher, I.R., Carrington, A.: Phys. Rev. Lett. 103, 076401 (2009)

    Article  ADS  Google Scholar 

  23. Terashima, T., Kimata, M., Satsukawa, H., Harada, A., Hazama, K., Imai, M., Uji, S., Kito, H., Iyo, A., Eisaki, H., Harima, H.: J. Phys. Soc. Jpn. 78, 033706 (2009)

    Article  ADS  Google Scholar 

  24. Sutherland, M., Hills, D.J., Tan, B.S., Altarawneh, M.M., Harrison, N., Gillett, J., O’Farrell, E.C.T., Benseman, T.M., Kokanovic, I., Syers, P., Cooper, J.R., Sebastian, S.E.: Phys. Rev. B 84 (R), 180506 (2011)

    Article  ADS  Google Scholar 

  25. Shishido, H., Bangura, A.F., Coldea, A.I., Tonegawa, S., Hashimoto, K., Kasahara, S., Rourke, P.M.C., Ikeda, H., Terashima, T., Settai, R., Onuki, Y., Vignolles, D., Proust, C., Vignolle, B., McCollam, A., Matsuda, Y., Shibauchi, T., Carrington, A.: Phys. Rev. Lett. 104, 057008 (2010)

    Article  ADS  Google Scholar 

  26. Analytis, J.G., Chu, J.-H., McDonald, R.D., Riggs, S.C., Fisher, I.R.: Phys. Rev. Lett. 105, 207004 (2010)

    Article  ADS  Google Scholar 

  27. Terashima, T., Kimata, M., Kurita, N., Satsukawa, H., Harada, A., Hazama, K., Imai, M., Sato, A., Kihou, K., Lee, C.-H., Kito, H., Eisaki, H., Iyo, A., Saito, T., Fukazawa, H., Kohori, Y., Harima, H., Uji, S.: J. Phys. Soc. Jpn. 79, 053702 (2010)

    Article  ADS  Google Scholar 

  28. Putzke, C., Coldea, A.I., Guillamón, I., Vignolles, D., McCollam, A., LeBoeuf, D., Watson, M.D., Mazin, I.I., Kasahara, S., Terashima, T., Shibauchi, T., Matsuda, Y., Carrington, A.: Phys. Rev. Lett. 108, 047002 (2012)

    Article  ADS  Google Scholar 

  29. Watson, M.D., Kim, T.K., Haghighirad, A.A., Davies, N.R., McCollam, A., Narayanan, A., Blake, S.F., Chen, Y.L., Ghannadzadeh, S., Schofield, A.J., Hoesch, M., Meingast, C., Wolf, T., Coldea, A.I.: Phys. Rev. B 91, 155106 (2015)

    Article  ADS  Google Scholar 

  30. Utfeld, C., Laverock, J., Haynes, T.D., Dugdale, S.B., Duffy, J.A., Butchers, M.W., Taylor, J.W., Giblin, S.R., Analytis, J.G., Chu, J.-H., Fisher, I.R., Itou, M., Sakurai, Y.: Phys. Rev. B 81, 064509 (2010)

    Article  ADS  Google Scholar 

  31. Wosnitza, J.: Fermi surfaces of low-dimensional organic metals and superconductors. Springer, Berlin (1996)

    Google Scholar 

  32. Singleton, J.: Rep. Prog. Phys. 63, 1111 (2000)

    Article  ADS  Google Scholar 

  33. Ishiguro, T., Yamaji, K., Saito, G.: Organic Superconductors, 2nd Edition. Springer, Berlin (1998)

  34. Ishiguro, T., Yamaji, K., Saito, G.: The Physics of Organic Superconductors and Conductors. In: Lebed, A.G. (ed.) Springer Series in Materials Science, vol. 110. Springer, Berlin, Heidelberg (2008)

  35. Kartsovnik, M.V.: Chem. Rev 104, 5737 (2004)

    Article  Google Scholar 

  36. Kartsovnı̆k, M.V., Peschansky, V.G.: Low Temp. Phys. 31, 185 (2005)

    Article  ADS  Google Scholar 

  37. Kartsovnı̆k, M.V., Peschansky, V.G.: Fiz. Nizk. Temp. 31, 249 (2005)

    Google Scholar 

  38. Hussey, N.E., Abdel-Jawad, M., Carrington, A., Mackenzie, A.P., Balicas, L.: Nature 425, 814 (2003)

    Article  ADS  Google Scholar 

  39. Kurihara, Y.: J. Phys. Soc. Jpn. 61, 975 (1992)

    Article  ADS  Google Scholar 

  40. Coldea, A.I., Bangura, A.F., Singleton, J., Ardavan, A., Akutsu-Sato, A., Akutsu, H., Turner, S.S., Day, P.: Phys. Rev. B 69, 085112 (2004)

    Article  ADS  Google Scholar 

  41. Lyubovskii, R.B., Pesotskii, S.I., Gilevskii, A., Lyubovskaya, R.N.: JETP 80, 946 (1995)

    ADS  Google Scholar 

  42. Lyubovskii, R.B., Pesotskii, S.I., Gilevskii, A., Lyubovskaya, R.N.: Zh. Eksp. Teor. Fiz. 107, 1698 (1995)

    Google Scholar 

  43. Zuo, F., Su, X., Zhang, P., Brooks, J.S., Wosnitza, J., Schlueter, J.A., Williams, J.M., Nixon, P.G., Winter, R.W., Gard, G.L.: Phys. Rev. B 60, 6296 (1999)

    Article  ADS  Google Scholar 

  44. Hagel, J., Wosnitza, J., Pfleiderer, C., Schlueter, J.A., Mohtasham, J., Gard, G.L. Phys. Rev. B 68, 104504 (2003)

    Article  ADS  Google Scholar 

  45. Wosnitza, J.: J. Low Temp. Phys. 146, 641 (2007)

    Article  ADS  Google Scholar 

  46. Kartsovnik, M.V., Grigoriev, P.D., Biberacher, W., Kushch, N.D.: Phys. Rev. B 79, 165120 (2009)

    Article  ADS  Google Scholar 

  47. Kang, W., Jo, Y.J., Noh, D.Y., Son, K.I., Chung, O.-H.: Phys. Rev. B 80, 155102 (2009)

    Article  ADS  Google Scholar 

  48. Wosnitza, J., Hagel, J., Qualls, J.S., Brooks, J.S., Balthes, E., Schweitzer, D., Schlueter, J.A., Geiser, U., Mohtasham, J., Winter, R.W., Gard, G.L.: Phys. Rev. B 180506(R), 65 (2002)

    Google Scholar 

  49. Grigoriev, P.D., Kartsovnik, M.V., Biberacher, W.: Phys. Rev. B 86, 165125 (2012)

    Article  ADS  Google Scholar 

  50. Grigoriev, P.D.: Phys. Rev. B 83, 245129 (2011)

    Article  ADS  Google Scholar 

  51. Grigoriev, P.D.: Phys. Rev. B 88, 054415 (2013)

    Article  ADS  Google Scholar 

  52. Grigoriev, A.D., Grigoriev, P.D.: Low Temp. Phys. 40, 367 (2014). arXiv:1310.7109v2

    Article  ADS  Google Scholar 

  53. Grigoriev, A.D., Grigoriev, P.D.: Fiz. Nizk. Temp. 40(4), 472 (2014)

    Google Scholar 

  54. Kartsovnik, M.V., Grigoriev, P.D., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. Lett. 89, 126802 (2002)

    Article  ADS  Google Scholar 

  55. Grigoriev, P.D.: Phys. Rev. B 67, 144401 (2003). arXiv:cond-mat/0204270

    Article  ADS  Google Scholar 

  56. Grigoriev, P.D., Kartsovnik, M.V., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. B 65 (R), 060403 (2002)

    Article  ADS  Google Scholar 

  57. Abrikosov, A.A.: Fundamentals of the theory of metals, North-Holland (1988)

  58. Shoenberg, D.: Magnetic oscillations in metals. Cambridge University Press, Cambridge (1984)

    Book  Google Scholar 

  59. Ziman, J.M.: Principles of the Theory of Solids. Cambridge University Press, Cambridge (1972)

    Book  MATH  Google Scholar 

  60. Kartsovnik, M.V., et al.: Pis’ma Zh. Eksp. Teor. Fiz. 47, 302 (1988)

    Google Scholar 

  61. Kartsovnik, M.V., et al.: JETP Lett. 47, 363 (1988)

    ADS  Google Scholar 

  62. Grigoriev, P.D., Sinchenko, A.A., Lejay, P., Hadj-Azzem, A., Balay, J., Leynaud, O., Zverev, V.N., Monceau, P. arXiv:1504.06064 [to be published]

  63. Lifshitz, E.M., Pitaevskii, L.P.: Course of Theoretical Physics, vol. 10: Physical Kinetics, (Nauka, Moscow, 2nd edition, 2002; Pergamon Press, 1st edition, 1981)

  64. Gvozdikov, V.M.: Tela, Fiz. Tverd. (Leningrad) 26, 2574 (1984)

    Google Scholar 

  65. Gvozdikov, V.M.: Sov. Phys. Solid State 26, 1560 (1984)

    Google Scholar 

  66. Champel, T., Mineev, V.P.: Phil. Magazine B 81, 55 (2001)

    Article  ADS  Google Scholar 

  67. Champel, T., Mineev, V.P.: Phys. Rev. B 66, 195111 (2002)

    Article  ADS  Google Scholar 

  68. Fogler, M.M., Dobin, A.Y., Perel, V.I., Shklovskii, B.I.: Phys. Rev. B 56, 6823 (1997)

    Article  ADS  Google Scholar 

  69. Fogler, M.M., Dobin, A.Y., Shklovskii, B.I.: Phys. Rev. B 57, 4614 (1998)

    Article  ADS  Google Scholar 

  70. Dingle, R.B.: Proc. Roy. Soc. A211, 517 (1952)

    Article  ADS  Google Scholar 

  71. Bychkov, Y.A.: Zh. Exp. Theor. Phys. 39, 1401 (1960)

    Google Scholar 

  72. Bychkov, Y.A.: Sov. Phys. JETP 12, 977 (1961)

    Google Scholar 

  73. Altshuler, B.L., Aronov, A.G.: Electron-Electron Interaction in Disordered Conductors, Ch. 1 in Electron-Electron Interactions in Disordered Systems. In: Efros, A.L., Pollak, M. (eds.) . ISBN: 978-0-444-86916-6, Amsterdam: North-Holland (1985)

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Acknowledgments

We are grateful to V.M. Pudalov, I.A. Nekrasov, and S.G. Ovchinnikov for useful discussions. We acknowledge the partial support by RFBR (Grants 16-02-00522 and 16-02-00098) and the President Grant for Government Support of the Leading Scientific Schools of the Russian Federation (NSh-2886.2014.2).

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Grigoriev, P.D., Korshunov, M.M. & Mogilyuk, T.I. Slow In-Plane Magnetoresistance Oscillations in Multiband Quasi-Two-Dimensional Metals. J Supercond Nov Magn 29, 1127–1132 (2016). https://doi.org/10.1007/s10948-016-3373-x

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