Abstract
We investigate the difference in the polaronic effect between e g and t 2g electrons in transition-metal oxides. In general, we find that the effective-mass enhancement factor m */m of e g electrons becomes much smaller than that of t 2g ones due to the difference in the mathematical structure of each Jahn–Teller center or the presence/absence of rotational symmetry in the pseudospin space representing degeneracy of the orbitals.
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Ramirez, A.P.: J. Phys.: Condens. Matter 9, 8171 (1997)
Tokura, Y.: In: Tokura, Y. (ed.) Colossal Magnetoresistive Oxides. Gordon & Breach, Amsterdam (2000)
Takada, Y., Hotta, T.: Int. J. Mod. Phys. B 15, 4267 (2001)
Mannella, N., Rosenhahn, A., Booth, C.H., Marchesini, S., Mun, B.S., Yang, S.-H., Ibrahim, K., Tomioka, Y., Fadley, C.S.: Phys. Rev. Lett. 92, 166401 (2004)
Lanzara, A., Bogdanov, P.V., Zhou, X.J., Keller, S.A., Feng, D.L., Lu, E.D., Yoshida, T., Eisaki, H., Fujimori, A., Kishio, K., Shimoyama, J.-I., Noda, T., Uchida, S., Hussain, Z., Shen, Z.-X.: Nature 412, 510 (2001)
Cuk, T., Lu, D.H., Zhou, X.J., Shen, Z.-X., Devereaux, T.P., Nagaosa, N.: Phys. Status Solidi B 242, 11 (2005)
Gunnarsson, O.: Rev. Mod. Phys. 69, 575 (1997)
Gunnarsson, O.: Alkali-doped Fullerides: Narrow-band Solids with Unusual Properties. World Scientific, Singapore (2004)
Takada, Y., Hotta, T.: Int. J. Mod. Phys. B 12, 3042 (1998)
Cappelluti, E., Paci, P., Grimaldi, C., Pietronero, L.: Phys. Rev. B 72, 054521 (2005)
Okuda, T., Asamitsu, A., Tomioka, Y., Kimura, T., Taguchi, Y., Tokura, Y.: Phys. Rev. Lett. 81, 3203 (1998)
Moffitt, W., Thorson, W.: Phys. Rev. 108, 1251 (1957)
O’Brien, M.C.M.: J. Phys. A: Math. Gen. 22, 1779 (1989)
Liu, Y.M., Bates, C.A., Dunn, J.L., Polinger, V.Z.: J. Phys.: Condens. Matter 8, L523 (1996)
Englman, R.: The Jahn–Teller Effect in Molecules and Crystals. Wiley, New York (1972)
Bersuker, I.B., Polinger, V.Z.: Vibronic Interactions in Molecules and Crystals. Springer, New York (1989)
Kaplan, M.D., Vekhter, B.G.: Cooperative Phenomena in Jahn–Teller Crystals. Plenum, New York (1995)
Bersuker, I.B.: The Jahn–Teller Effect. Cambridge University Press, Cambridge (2006)
Sato, T., Chibotaru, L.F., Ceulemans, A.: J. Chem. Phys. 122, 054104 (2005)
Barentzen, H.: J. Phys.: Condens. Matter 17, 4713 (2005)
Takada, Y.: Phys. Rev. B 61, 8631 (2000)
Takada, Y.: Physica C 364–365, 71 (2001)
Ziegler, K.: Phys. Rev. B 72, 075120 (2005)
Kornilovitch, P.E.: Phys. Rev. Lett. 84, 1551 (2000)
Barentzen, H.: Eur. Phys. J. B 24, 197 (2001)
El Shawish, S., Bonča, J., Ku, L.-C., Trugman, S.A.: Phys. Rev. B 67, 014301 (2003)
Trugman, S.A., Ku, L.-C., Bonča, J.: J. Supercond. 17, 193 (2004)
Ramakumar, R., Yarlagadda, S.: Phys. Rev. B 69, 104519 (2004)
Holstein, T.: Ann. Phys. (N.Y.) 8, 325 (1959)
Holstein, T.: Ann. Phys. (N.Y.) 8, 343 (1959)
Alexandrov, A.S., Mott, N.F.: Polarons and Bipolarons. World Scientific, Singapore (1995)
Pooler, D.R.: J. Phys.: Math. Gen. 11, 1045 (1978)
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Takada, Y., Masaki, M. Polarons in Jahn–Teller Crystals: Intrinsic Difference between e g and t 2g Electrons. J Supercond Nov Magn 20, 629–633 (2007). https://doi.org/10.1007/s10948-007-0280-1
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DOI: https://doi.org/10.1007/s10948-007-0280-1