Einstein relation for electron plasma of solids in a quantizing magnetic field

1973 ◽  
Vol 19 (1) ◽  
pp. 313-317 ◽  
Author(s):  
B. A. Aronzon ◽  
E. Z. Meilikhov
Keyword(s):  
Magnetic Field ◽  
Electron Plasma ◽  
Einstein Relation ◽  
Quantizing Magnetic Field

Effect of a quantizing magnetic field on the Einstein relation in bismuth

1989 ◽  
Vol 67 (1) ◽  
pp. 72-75 ◽  
Author(s):  
M. Mondal ◽  
S. N. Banik ◽  
K. P. Ghatak
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Dispersion Relation ◽  
Einstein Relation ◽  
Energy Bands ◽  
Magnetic Quantization ◽  
Quantizing Magnetic Field ◽  
Special Case

An attempt is made to study the Einstein relation of the carriers in bismuth under magnetic quantization on the basis of the Abrikosov dispersion relation, which includes various types of anisotropics in the energy spectrum. It is found, taking spin and broadening into account, that the same ratio oscillates with the inverse quantizing magnetic field and increases with increasing carrier degeneracy respectively. In addition, the corresponding well-known result of parabolic energy bands is also obtained from the generalized expression as a special case.

The Einstein Relation in Superlattices OP Wide-Band Gap Semiconductors Onder Cross-Field Configuration

1992 ◽  
Vol 242 ◽  
Author(s):  
Kamakhya P. Ghatak ◽  
Badal De
Keyword(s):  
Magnetic Field ◽  
Band Gap ◽  
Electron Concentration ◽  
Wide Band ◽  
Field Configuration ◽  
Landau Levels ◽  
Einstein Relation ◽  
Wide Band Gap ◽  
Wide Band Gap Semiconductors ◽  
Quantizing Magnetic Field

ABSTRACTin this paper we study the Einstein relation in superlattices of wide-band gap semiconductors under crossfield configuration and the for.-ning materials incorporating spin and broadening of Landau levels, it is found, taking GaAs/AÀAs superlattice as an example that the diffusivity-mobility ratio increases with increasing electron concentration and oscillates with inverse quantizing magnetic field due to SdH effect. Thetheoretical analysis is in agreement with the suggested experimental method of determining the same ratio in degenerate materials having arbitrary dispersion laws.

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