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Hopping Hall Conductivity in Disordered Systems from the Generalized Stochastic Liouville Equation Model
Author(s) -
Čápek V.
Publication year - 1992
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.2221710120
Subject(s) - thermal conduction , representation (politics) , hall conductivity , work (physics) , scattering , conductivity , physics , kinetic theory , hall effect , master equation , condensed matter physics , mathematics , statistical physics , electrical resistivity and conductivity , quantum mechanics , thermodynamics , law , politics , political science , quantum
As recently proved, equilibrium field‐independent hopping (transfer) rates disappear in the linearized (in the electric field) kinetic equations owing to cancellation on both sides as far as the theory is sufficiently rigorously formulated beyond the lowest‐order treatment of scattering. Thus, standard kinetic (rate) equation formulations have to be scrutinized, possibly avoiding the approximate kinetic equation stage. The present work shows how to perform the task treating the hopping Hall conduction in the site representation via the generalized stochastic Liouville equation model which has previously been used mostly for exciton transfer in condensates. Corrections to standard hopping Hall conductivity results are revealed.