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The Complexity Classes of Angular Diagrams of the Metal Conductivity in Strong Magnetic Fields

  • ELECTRONIC PROPERTIES OF SOLID
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Abstract

We consider angular diagrams describing the dependence of the magnetic conductivity of metals on the direction of the magnetic field in rather strong fields. As it can be shown, all angular conductivity diagrams can be divided into a finite number of classes with different complexities. The greatest interest among such diagrams is represented by diagrams with the maximal complexity, which can occur for metals with rather complicated Fermi surfaces. In describing the structure of complex diagrams, in addition to the description of the conductivity itself, the description of the Hall conductivity for different directions of the magnetic field plays very important role. For the evaluation of the complexity of angular diagrams of the conductivity of metals, it is also convenient to compare such diagrams with the full mathematical diagrams that are defined (formally) for the entire dispersion relation.

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Funding

The study was carried out at the expense of a grant from the Russian Science Foundation (project no. 18-11-00316).

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  1. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Moscow oblast, Russia

    A. Ya. Maltsev

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Maltsev, A.Y. The Complexity Classes of Angular Diagrams of the Metal Conductivity in Strong Magnetic Fields. J. Exp. Theor. Phys. 129, 116–138 (2019). https://doi.org/10.1134/S1063776119050042

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  • DOI: https://doi.org/10.1134/S1063776119050042

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