Influence of temperature on the oscillations of longitudinal magnetoresistance in semiconductors with a nonparabolic dispersion law

Gulyamov, G.; Эркабоев, У. И.; Gulyamov, A. G.

doi:10.1007/s12648-018-1331-0

Cited by 11 publications

(2 citation statements)

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“…In quantizing magnetic fields, the free energy of electrons without taking into account spin is expressed in terms of the total number of the quantum state in the following form [1,14]:…”

Section: Calculation Of De Haas-van Alphen Oscillations In Narromentioning

confidence: 99%

“…In a strong magnetic field, the longitudinal conductivity is determined using the following expression [ -the energy derivative of the Fermi-Dirac function, takes on the character of a delta function at low temperatures. From formula (1) it is seen that the effective mass is a constant, that is, this expression is applicable only for the parabolic dispersion law. But, if the dispersion law is nonparabolic (Kane's dispersion law), then the effective mass is strongly dependent on energy ( ) [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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The Influence of External Factors on Quantum Magnetic Effects in Electronic Semiconductor Structures

Erkaboev¹,

Rakhimov²,

Mirzaev³

et al. 2020

IJITEE

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A theory is constructed of the temperature dependence of quantum oscillation phenomena in narrow-gap electronic semiconductors, taking into account the thermal smearing of Landau levels. Oscillations of longitudinal electrical conductivity in narrow-gap electronic semiconductors at various temperatures are studied. An integral expression is obtained for the longitudinal conductivity in narrow-gap electronic semiconductors, taking into account the diffuse broadening of the Landau levels. A formula is obtained for the dependence of the oscillations of longitudinal electrical conductivity on the band gap of narrow-gap semiconductors. The calculation results are compared with experimental data.

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“…In quantizing magnetic fields, the free energy of electrons without taking into account spin is expressed in terms of the total number of the quantum state in the following form [1,14]:…”

Section: Calculation Of De Haas-van Alphen Oscillations In Narromentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%