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Aspects of electrical conductivity in a moving base approach
Author(s) -
Wagner M.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221070226
Subject(s) - adiabatic process , unitary transformation , diagonal , superconductivity , electron , electrical resistivity and conductivity , condensed matter physics , phonon , unitary state , quantum mechanics , physics , lattice (music) , mathematics , geometry , political science , acoustics , law , quantum
Three types of unitary transformations (Fröhlich, adiabatic base, modified Bloch‐Whitfield) are contrasted. The adiabatic base approach improves the Fröhlich philosophy: the effective electron‐electron interaction turns out to be purely attractive, and it also is symmetric in the involved electronic wave vectors. The rise of superconductivity proves to be a purely nonadiabatic effect. Electrical resistivity is split into adiabatic and nonadiabatic contributions and depends both on the vibrational and electronic occupation. Moreover it turns out that one never can get rid of diagonal electron‐phonon interactions. These establish selfconsistent interrelations between lattice dynamics and electronic occupation, which most simply may be handled by the Bogolyubov inequality. The modified Bloch‐Whitfield transformation seems to offer a possibility to calculate T c and electrical conductivity with a somewhat diminished knowledge about the atomic potentials. Perspectives for detailed calculations are given.