Generalization of the Random Impedance Network for Hopping Conduction,
Abstract
Miller and Abrahams' random impedance network is generalized to include non-steady state behavior. The generalized network has the property that for dc it is equivalent to the MA network, and for high frequencies it corresponds to the theory of Pollak and Geballe. In addition to Miller and Abrahams' resistances Zij between states i and j the generalized network includes capacitances Ci connected between the i terminal of Zij and one terminal of a generator Vi. The other terminal of Vi is connected to a 'ground' common to all the generators. The capacitances are related to the equilibrium occupation probability of site i, and the generators are related in a simple way to the imposed field. The network can also be extended to include electronic correlation effects by the inclusion of feedback elements.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0769548
Entities
People
- Martin R. Pollak
Organizations
- University of California, Riverside