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.
Similar content being viewed by others
Notes
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 Δy≫R 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
Kamihara, Y., Watanabe, T., Hirano, M., Hosono, H.: J. Am. Chem. Soc 130, 3296 (2008)
Sadovskii, M.V. Physics-Uspekhi 51, 1201 (2008)
Paglione, J., Greene, R.L.: Nat. Phys. 6, 645 (2010)
Johnston, D.C.: Adv. Phys. 59, 803 (2010)
Wen, H.H., Li, S.: Annu. Rev. Cond. Matter Phys. 2, 121 (2011)
Stewart, G.R.: Rev. Mod. Phys. 83, 1589 (2011)
Dagotto, E.: Rev. Mod. Phys. 85, 849 (2013)
Hirschfeld, P.J., Korshunov, M.M., Mazin, I.I.: Rep. Prog. Phys 74, 124508 (2011)
Kuroki, K., Onari, S., Arita, R., Usui, H., Tanaka, Y., Kontani, H., Aoki, H.: Phys. Rev. Lett. 101, 087004 (2008)
Mazin, I.I.: Nature (London) 464, 183 (2010)
Chubukov, A.V.: Annu. Rev. Cond. Matter Phys. 3, 57 (2012)
Korshunov, M.M.: Physics-Uspekhi 57, 813 (2014)
Kontani, H., Onari, S.: Phys. Rev. Lett. 104, 157001 (2010)
Bang, Y., Choi, H.-Y., Won, H.: Phys. Rev. B 79, 054529 (2009)
Kordyuk, A.A., Zabolotnyy, V.B., Evtushinsky, D.V., Yaresko, A.N., Buechner, B., Borisenko, S.V.: J. Supercond. Nov. Magn. 26, 2837 (2013)
Richard, P., Sato, T., Nakayama, K., Takahashi, T., Ding, H.: Rep. Prog. Phys. 74, 124512 (2011)
Carrington, A.: Rep. Prog. Phys. 74, 124507 (2011)
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)
Sugawara, H., Settai, R., Doi, Y., Muranaka, H., Katayama, K., Yamagami, H., Onuki, Y.: J. Phys. Soc. Jpn. 77, 113711 (2008)
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)
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)
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)
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)
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)
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)
Analytis, J.G., Chu, J.-H., McDonald, R.D., Riggs, S.C., Fisher, I.R.: Phys. Rev. Lett. 105, 207004 (2010)
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)
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)
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)
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)
Wosnitza, J.: Fermi surfaces of low-dimensional organic metals and superconductors. Springer, Berlin (1996)
Singleton, J.: Rep. Prog. Phys. 63, 1111 (2000)
Ishiguro, T., Yamaji, K., Saito, G.: Organic Superconductors, 2nd Edition. Springer, Berlin (1998)
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)
Kartsovnik, M.V.: Chem. Rev 104, 5737 (2004)
Kartsovnı̆k, M.V., Peschansky, V.G.: Low Temp. Phys. 31, 185 (2005)
Kartsovnı̆k, M.V., Peschansky, V.G.: Fiz. Nizk. Temp. 31, 249 (2005)
Hussey, N.E., Abdel-Jawad, M., Carrington, A., Mackenzie, A.P., Balicas, L.: Nature 425, 814 (2003)
Kurihara, Y.: J. Phys. Soc. Jpn. 61, 975 (1992)
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)
Lyubovskii, R.B., Pesotskii, S.I., Gilevskii, A., Lyubovskaya, R.N.: JETP 80, 946 (1995)
Lyubovskii, R.B., Pesotskii, S.I., Gilevskii, A., Lyubovskaya, R.N.: Zh. Eksp. Teor. Fiz. 107, 1698 (1995)
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)
Hagel, J., Wosnitza, J., Pfleiderer, C., Schlueter, J.A., Mohtasham, J., Gard, G.L. Phys. Rev. B 68, 104504 (2003)
Wosnitza, J.: J. Low Temp. Phys. 146, 641 (2007)
Kartsovnik, M.V., Grigoriev, P.D., Biberacher, W., Kushch, N.D.: Phys. Rev. B 79, 165120 (2009)
Kang, W., Jo, Y.J., Noh, D.Y., Son, K.I., Chung, O.-H.: Phys. Rev. B 80, 155102 (2009)
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)
Grigoriev, P.D., Kartsovnik, M.V., Biberacher, W.: Phys. Rev. B 86, 165125 (2012)
Grigoriev, P.D.: Phys. Rev. B 83, 245129 (2011)
Grigoriev, P.D.: Phys. Rev. B 88, 054415 (2013)
Grigoriev, A.D., Grigoriev, P.D.: Low Temp. Phys. 40, 367 (2014). arXiv:1310.7109v2
Grigoriev, A.D., Grigoriev, P.D.: Fiz. Nizk. Temp. 40(4), 472 (2014)
Kartsovnik, M.V., Grigoriev, P.D., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. Lett. 89, 126802 (2002)
Grigoriev, P.D.: Phys. Rev. B 67, 144401 (2003). arXiv:cond-mat/0204270
Grigoriev, P.D., Kartsovnik, M.V., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. B 65 (R), 060403 (2002)
Abrikosov, A.A.: Fundamentals of the theory of metals, North-Holland (1988)
Shoenberg, D.: Magnetic oscillations in metals. Cambridge University Press, Cambridge (1984)
Ziman, J.M.: Principles of the Theory of Solids. Cambridge University Press, Cambridge (1972)
Kartsovnik, M.V., et al.: Pis’ma Zh. Eksp. Teor. Fiz. 47, 302 (1988)
Kartsovnik, M.V., et al.: JETP Lett. 47, 363 (1988)
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]
Lifshitz, E.M., Pitaevskii, L.P.: Course of Theoretical Physics, vol. 10: Physical Kinetics, (Nauka, Moscow, 2nd edition, 2002; Pergamon Press, 1st edition, 1981)
Gvozdikov, V.M.: Tela, Fiz. Tverd. (Leningrad) 26, 2574 (1984)
Gvozdikov, V.M.: Sov. Phys. Solid State 26, 1560 (1984)
Champel, T., Mineev, V.P.: Phil. Magazine B 81, 55 (2001)
Champel, T., Mineev, V.P.: Phys. Rev. B 66, 195111 (2002)
Fogler, M.M., Dobin, A.Y., Perel, V.I., Shklovskii, B.I.: Phys. Rev. B 56, 6823 (1997)
Fogler, M.M., Dobin, A.Y., Shklovskii, B.I.: Phys. Rev. B 57, 4614 (1998)
Dingle, R.B.: Proc. Roy. Soc. A211, 517 (1952)
Bychkov, Y.A.: Zh. Exp. Theor. Phys. 39, 1401 (1960)
Bychkov, Y.A.: Sov. Phys. JETP 12, 977 (1961)
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)
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).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-016-3373-x