Topology, Quasiperiodic functions and the Transport phenomena
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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.