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Quantum theory of microwave conductivity
Author(s) -
Arora V. K.,
Qureshi E.
Publication year - 1976
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.2220770106
Subject(s) - density matrix , boltzmann equation , relaxation (psychology) , matrix (chemical analysis) , condensed matter physics , quantum mechanics , scattering , conductivity , quantum , physics , statistical physics , materials science , psychology , social psychology , composite material
A quantum theory using a density matrix for electrical conductivity with an alternating electric field is described. The relaxation time, and the effeot of the microwave frequency on it, is obtained in a natural way without making any assumptions regarding its existence, as in the solution of the Boltzmann transport equation. Starting from the formal manipulation of the density matrix equation, the theory emphasizes various approximations under which the density matrix can be obtained in a usable form, assuming the electron‐phonon interaction to be a dominant mechanism of scattering in the nonpolar model. This density matrix is then used to find the expectation value of the current operator and hence the miorowave conductivity.