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Topology, Quasiperiodic Functions, and the Transport Phenomena

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Topology in Condensed Matter

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 150))

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Summary

In this chapter we give the basic concept of the “topological numbers” in the theory of quasiperiodic functions. Attention is especially paid to appearance of such quantities in transport phenomena, including galvanomagnetic phenomena in normal metals (Sect. 2.1) and the modulations of 2D electron gas (Sect. 2.3). We give a detailed introduction to both these areas and explain in a simple way the appearance of the “integral characteristics” in both these problems. Though this chapter cannot be considered a detailed survey in the area, it explains the main basic features of the corresponding phenomena.

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Author information

Authors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, ul. Kosygina 2, Moscow, Russian Federation

    A.Ya. Maltsev

  2. Institute for Physical Science and Technology (IPST), University of Maryland, College Park, MD, 20742-2431, USA

    S.P. Novikov

Authors
  1. A.Ya. Maltsev
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  2. S.P. Novikov
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Editor information

Editors and Affiliations

  1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259, Moscow, Russia

    Michail Ilych Monastyrsky

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Maltsev, A., Novikov, S. (2006). Topology, Quasiperiodic Functions, and the Transport Phenomena. In: Monastyrsky, M.I. (eds) Topology in Condensed Matter. Springer Series in Solid-State Sciences, vol 150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31264-1_3

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