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Anomalous Resistivity and the Electron–Polaron Effect in the Two-Band Hubbard Model with One Narrow Band

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Abstract

We search for anomalous normal and superconductive behavior in the two-band Hubbard model with one narrow band. We analyze the influence of the electron–polaron effect and the Altshuler–Aronov effect on effective mass enhancement and scattering times of heavy and light components in the clean case. We find anomalous behavior of resistivity at high temperatures \(T > W_{h}^{*}\) both in 3D and 2D situations. The SC instability in the model is governed by an enhanced Kohn–Luttinger effect for p-wave pairing of heavy electrons via polarization of light electrons.

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Acknowledgements

We are grateful to P. Fulde, Yu. Kagan, K.I. Kugel, N.V. Prokof’ev, P. Nozieres, and C.M. Varma for the numerous stimulating discussions. We acknowledge financial support of the RFBR Grant No. 11-02-00741.

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Authors and Affiliations

  1. P.L. Kapitza Institute for Physical Problems, Kosygina st. 2, 119334, Moscow, Russia

    M. Y. Kagan

  2. Kirenskii Institute of Physics, Akademgorodok 50, building 38, 660036, Krasnoyarsk, Russia

    V. V. Val’kov

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  1. M. Y. Kagan
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  2. V. V. Val’kov
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Correspondence to M. Y. Kagan.

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Kagan, M.Y., Val’kov, V.V. Anomalous Resistivity and the Electron–Polaron Effect in the Two-Band Hubbard Model with One Narrow Band. J Supercond Nov Magn 25, 1379–1382 (2012). https://doi.org/10.1007/s10948-012-1523-3

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  • DOI: https://doi.org/10.1007/s10948-012-1523-3

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