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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 302, Pages 296–315
DOI: https://doi.org/10.1134/S0371968518030147 (Mi tm3935) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems

A. Ya. Maltseva, S. P. Novikovba

a L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences, pr. Akademika Semenova 1a, Chernogolovka, Moscow oblast, 142432 Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968518030147
Abstract: The paper is devoted to the applications of the theory of dynamical systems to the theory of transport phenomena in metals in the presence of strong magnetic fields. More precisely, we consider the connection between the geometry of the trajectories of dynamical systems arising at the Fermi surface in the presence of an external magnetic field and the behavior of the conductivity tensor in a metal in the limit $\omega _B\tau \to \infty $. We describe the history of the question and investigate special features of such behavior in the case of the appearance of trajectories of the most complex type on the Fermi surface of a metal.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005 and performed in Steklov Mathematical Institute of Russian Academy of Sciences.
Received: March 11, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 302, Pages 279–297
DOI: https://doi.org/10.1134/S0081543818060147
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: A. Ya. Maltsev, S. P. Novikov, “The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems”, Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, MAIK Nauka/Interperiodica, Moscow, 2018, 296–315; Proc. Steklov Inst. Math., 302 (2018), 279–297
Citation in format AMSBIB
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\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday
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\vol 302
\pages 296--315
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 12 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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