The Theory of Closed 1-Forms, Levels of Quasiperiodic Functions and Transport Phenomena in Electron Systems View Full Text


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Article Info

DATE

2018-08

AUTHORS

A. Ya. Maltsev, S. P. Novikov

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 ωBτ →∞. 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. More... »

PAGES

279-297

References to SciGraph publications

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  • 1997-07. Topological characteristics of electronic spectra of single crystals in JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
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  • 2008-12. Interval identification systems and plane sections of 3-periodic surfaces in PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
  • 2016-10. Diffusion for chaotic plane sections of 3-periodic surfaces in INVENTIONES MATHEMATICAE
  • 1993-05. Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron in MATHEMATICAL NOTES
  • 2004-04. Dynamical Systems, Topology, and Conductivity in Normal Metals in JOURNAL OF STATISTICAL PHYSICS
  • 1997-11. Anomalous behavior of the electrical conductivity tensor in strong magnetic fields in JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
  • 2017-05. On the analytical properties of the magneto-conductivity in the case of presence of stable open electron trajectories on a complex Fermi surface in JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
  • 2003-04. Quasiperiodic functions and dynamical systems in quantum solid state physics in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, NEW SERIES
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0081543818060147

    DOI

    http://dx.doi.org/10.1134/s0081543818060147

    DIMENSIONS

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