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The complexity classes of angular diagrams of the metal conductivity in strong magnetic fields
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
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 complexity. 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 convenient also to compare such diagrams with the full mathematical diagrams that are defined (formally) for the entire dispersion relation.<br />Comment: 24 pages, 32 figures, revtex
- Subjects :
- Physics
Condensed Matter - Materials Science
Mathematical diagram
Condensed matter physics
Solid-state physics
General Physics and Astronomy
Materials Science (cond-mat.mtrl-sci)
FOS: Physical sciences
Conductivity
01 natural sciences
Magnetic field
Dispersion relation
0103 physical sciences
Complexity class
010306 general physics
Finite set
Fermi Gamma-ray Space Telescope
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....a3425ec44e69daab4daf6027a86241eb
- Full Text :
- https://doi.org/10.48550/arxiv.1902.00290