V.F. Gantmakher
- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198567561
- eISBN:
- 9780191718267
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567561.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter is dedicated to electron transitions between localized states. After a description of the states with the help of localization radius and the general expression for the transition ...
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This chapter is dedicated to electron transitions between localized states. After a description of the states with the help of localization radius and the general expression for the transition probability between two states — the hopping conductivity theory — is presented. The theory is based on Abrahams-Miller network of random resistances modelling an insulator and the percolation theory. Three types of hopping conductivity are presented: nearest-neighbour hopping, variable-range hopping with Coulomb gap at the Fermi level (Efros-Shklovskii law), and variable-range hopping without Coulomb gap (Mott law). They can be distinguished by the temperature dependence of the activated conductance.Less
This chapter is dedicated to electron transitions between localized states. After a description of the states with the help of localization radius and the general expression for the transition probability between two states — the hopping conductivity theory — is presented. The theory is based on Abrahams-Miller network of random resistances modelling an insulator and the percolation theory. Three types of hopping conductivity are presented: nearest-neighbour hopping, variable-range hopping with Coulomb gap at the Fermi level (Efros-Shklovskii law), and variable-range hopping without Coulomb gap (Mott law). They can be distinguished by the temperature dependence of the activated conductance.
