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Theory of electronic transport in two-dimensional systems in the presence of magnetic fields

II. The Kubo formula

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Czechoslovak Journal of Physics Aims and scope

Abstract

The paper of three parts is focused on the Landauer-Büttiker approach to the study of transport in two-dimensional electron systems, with particular attention to the influence of an external magnetic field. In the previous part the total conductance of such a system was shown to be proportional to the transmission current. In the present part we give a detailed proof, based on the linear response theory, to the last statement. The value of the magnetic field may be arbitrary and possible inhomogeneity of the electric field is also considered.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Cukrovarnická 10, 162 00, Praha 6, Czechoslovakia

    Jan Kučera

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  1. Jan Kučera
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The author wishes to thank to Professor P. Středa and Professor L. Smrčka for discussions and encouragement.

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Kučera, J. Theory of electronic transport in two-dimensional systems in the presence of magnetic fields. Czech J Phys 41, 749–780 (1991). https://doi.org/10.1007/BF01597809

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  • DOI: https://doi.org/10.1007/BF01597809

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