Topological quantum characteristics observed in the investigation of the conductivity in normal metals

  • S. P. Novikov
  • A. Ya. Mal’tsev
Methods of Theoretical Physics


It is shown that the investigation of the conductivity in a single crystal of a normal metal with a complicated Fermi surface in strong magnetic fields B can reveal integral topological characteristics which are determined by the topology of open-ended quasiclassical electron trajectories. Specifically, in the case of open-ended trajectories of the general position there always exists a direction η orthogonal to B in which the conductivity approaches zero for large B, and this direction lies in some integral (i.e., generated by two reciprocal-lattice vectors) plane that remains stationary for small variations of the direction of B.

PACS numbers

72.15.Cz 72.15.Eb 


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Copyright information

© MAIK "Nauka/Interperiodica" 1996

Authors and Affiliations

  • S. P. Novikov
    • 1
  • A. Ya. Mal’tsev
    • 2
  1. 1.Institute for Physical Science and TechnologyUniversity of MarylandCollege Park
  2. 2.L. D. Landau Institute of Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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