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On the analytical properties of the magneto-conductivity in the case of presence of stable open electron trajectories on a complex Fermi surface
- Publication Year :
- 2016
-
Abstract
- We consider the electric conductivity in normal metals in presence of a strong magnetic field. It is assumed here that the Fermi surface of a metal has rather complicated form such that different types of quasiclassical electron trajectories can appear on the Fermi level for different directions of B. The effects we consider are connected with the existence of regular (stable) open electron trajectories which arise in general on complicated Fermi surfaces. The trajectories of this type have a nice geometric description and represent quasiperiodic lines with a fixed mean direction in the p-space. Being stable geometric objects, the trajectories of this kind exist for some open regions in the space of directions of B, which can be represented by "Stability Zones" on the unit sphere. The main goal of the paper is to give a description of the analytical behavior of conductivity in the Stability Zones, which demonstrates in general rather nontrivial properties.<br />26 pages, 24 figures, Revtex
- Subjects :
- Physics
Condensed matter physics
010102 general mathematics
Fermi level
FOS: Physical sciences
General Physics and Astronomy
Fermi surface
Electron
Space (mathematics)
01 natural sciences
Magnetic field
Condensed Matter - Other Condensed Matter
symbols.namesake
Electrical resistivity and conductivity
Quasiperiodic function
0103 physical sciences
symbols
0101 mathematics
010306 general physics
Other Condensed Matter (cond-mat.other)
Fermi Gamma-ray Space Telescope
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....b4d1f5583ae3d3641ff0f7c0ca6e2881