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Topology, Quasiperiodic functions and the Transport phenomena

2003/12/30 by A. Ya. Maltsev, Maltsev, A. Ya., S. P. Novikov +1
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0312710

38 pages, 14 eps - figures, Latex

arxiv created 2003/12/30 · arxiv updated 2009/12/01

Abstract

In this article we give the basic concept of the "Topological Numbers" in theory of quasiperiodic functions. The main attention is paid to apperance of such values in transport phenomena including Galvanomagnetic phenomena in normal metals (Chapter 1) and the modulations of 2D electron gas (Chapter 2). We give just the main introduction to both of these areas and explain in a simple way the appearance of the "integral characteristics" in both of these problems. The paper can not be considered as the detailed survey article in the area but explains the main basic features of the corresponding phenomena.

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