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Quasiperiodic Dynamics and Magnetoresistance in Normal Metals

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Abstract

In this article we give a brief survey on the physics and mathematics of the phenomenon of conductivity in metals under a strong magnetic field.

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Notes

  1. This “near to zero temperature” approximation holds in general for metals since for them \(\varepsilon _{F}\simeq 10^{4}\mbox{--}10^{5}~\mbox{K}\), at least an order of magnitude above their melting point.

  2. Private communication.

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Acknowledgements

The authors are very grateful to S.P. Novikov for introducing the subject and for his constant interest and support and also thank I.A. Dynnikov for many fruitful discussions on the subject over the years. The numerical data in this article was produced on the High-Performance Computational Clusters of the National Institute of Nuclear Physics (INFN) at Cagliari (Italy) and of the College of Arts and Sciences (CoAS) and of the Center for Computational Biology and Bioinformatics (CCBB) at Howard University (Washington, DC). This material is based upon work supported by the National Science Foundation under Grant No. DMS-1832126 and the project “Dynamics of complex systems” (L.D. Landau Institute for Theoretical Physics).

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Authors and Affiliations

  1. Department of Mathematics, Howard University, Washington, DC, 20059, USA

    Roberto De Leo

  2. Landau Institute for Theoretical Physics, Chernogolovka, Moscow Region, 142432, Russia

    Andrei Y. Maltsev

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  1. Roberto De Leo
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  2. Andrei Y. Maltsev
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Correspondence to Roberto De Leo.

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De Leo, R., Maltsev, A.Y. Quasiperiodic Dynamics and Magnetoresistance in Normal Metals. Acta Appl Math 162, 47–61 (2019). https://doi.org/10.1007/s10440-018-00235-z

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