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Einstein Relationship and Relaxation Current in a Tail at Zero Temperature
Author(s) -
Bleibaum O.,
Böttger H.,
Bryksin V.V.,
Samukhin A.N.
Publication year - 2002
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 - 10.1002/1521-3951(200203)230:1<21::aid-pssb21>3.0.co;2-w
Subject(s) - relaxation (psychology) , einstein relation , physics , diffusion , einstein , propagator , exponential function , zero (linguistics) , charge (physics) , classical mechanics , quantum mechanics , mathematical analysis , mathematics , psychology , social psychology , metric (unit) , operations management , linguistics , philosophy , economics
We outline results on the calculation of the transport coefficients for a non‐equilibrium charge carrier moving in an arbitrary density of states. The equations for the calculation of the transport coefficients are completed by constitutive equations governing their dispersion, and an equation for the calculation of the diffusion propagator in the quasi‐elastic limit. Our results show that the motion of the charge carrier is dispersive also at relatively large times. Furthermore, the Einstein relationship depends on the derivative of the density of states with respect to energy. Positive or negative relaxation currents are obtained if the density of states either increases or decreases with increasing energy. Furthermore, in order to compare our results with those obtained in the literature we focus on an exponential density of states.