Theory of transport coefficients. IV. Electrical conductivity in the presence of a strong magnetic field

The transverse electrical conductivity of an electron-phonon system under a strong static magnetic field is calculated up to the second order in the electron-phonon interaction starting from the Nalcano-Kubo formula and using the Feynman diagram techniques. The result is in agreement with that obtai...

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Bibliographic Details
Published in:Physica 1963-11, Vol.29 (11), p.1201-1213
Main Authors: Fujita, S., Mayné, F.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CROSS SECTIONS
DISTRIBUTION
ELECTRIC CONDUCTIVITY
ELECTRONS
EQUATIONS
FEYNMAN DIAGRAM
FIELD THEORY
INTERACTIONS
MAGNETIC FIELDS
PHONONS
SOUND
TRANSPORT THEORY
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Summary:The transverse electrical conductivity of an electron-phonon system under a strong static magnetic field is calculated up to the second order in the electron-phonon interaction starting from the Nalcano-Kubo formula and using the Feynman diagram techniques. The result is in agreement with that obtained by Titeica from intuitive grounds. It is found that the initial electron correlations contained in the canonical distribution exp [− β( H 0 + H I )] contribute to the conductivity in contradistinction to the case of a magnetic field-free system, where the (static) conductivity in general can be expressed in terms of asymptotic cross sections defined between states free from correlation. This fact necessarily implies the impossibility of properly describing the magnetoresistance on the basis of Boltzmann — like equations.
ISSN:0031-8914
DOI:10.1016/S0031-8914(63)80272-4