Theory of Auger upconversion in quantum wells in a quantizing magnetic field

Бадалян, С. М.; Rößler, U.; Potemski, M.

doi:10.1088/0953-8984/5/36/026

Cited by 12 publications

(12 citation statements)

References 18 publications

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“…Scattering from the deformation potential of acoustic phonons has been only considered since in quantizing magnetic fields, scattering from piezoelectric potential is strongly suppressed [46].…”

Section: Scientific Novelty and Practical Value Of The Dissertationmentioning

confidence: 99%

“…The luminescence spectrum under interband excitation at low temperatures and for low excitation powers shows two peaks: besides the luminescence due to recombination of an electron from lowest Landau level with a hole in a valence band, a second peak is observed above the exciting laser energy and is related to recombination of an Auger up-converted electron with a hole. We have developed a theory of Auger up-conversion in quantum wells in quantizing magnetic fields to explain these experimental results [57,46]. We have calculated the characteristic times of electron-electron scattering processes between Landau levels of the lowest electric subband and of electron-acoustic phonon scattering between Landau levels of the two lowest electric subbands as well as the lifetime of a test hole both with respect to the Auger process and phonon emission.…”

Section: Scientific Novelty and Practical Value Of The Dissertationmentioning

confidence: 99%

“…Up to now we considered only the deformation electron-phonon interaction. Direct calculation shows that to find the phonon emission intensity due to the piezoelectric coupling it should be done the following replacement [46] in Eq. (5.41):…”

Section: Acoustic Phonon Emission: Piezoelectric Potentialmentioning

confidence: 99%

“…As already mentioned, theoretical studies of Auger scattering between Landau levels in a 2DEG are missing in the literature. In this section phenomenological calculations of the electron-electron scattering rate for free electrons of the 2DEG exposed to the normal quantizing field are presented [57,46].…”

Section: Introductionmentioning

confidence: 99%

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Paradigms of modern epileptology

Badalian¹,

Burd²,

Лебедева³

et al. 2021

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Section: Scientific Novelty and Practical Value Of The Dissertationmentioning

confidence: 99%

Section: Scientific Novelty and Practical Value Of The Dissertationmentioning

confidence: 99%

Section: Acoustic Phonon Emission: Piezoelectric Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Paradigms of modern epileptology

Badalian¹,

Burd²,

Лебедева³

et al. 2021

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“…Auger transitions were discussed in Ref. 8; however, the random potential was described only phenomenologicaly, introducing some LL width. The purpose of the present work is to calculate the scattering rate for a test electron due to Auger processes, considering the random potential explicitely.…”

Section: Introductionmentioning

confidence: 99%

Auger scattering between Landau levels in a two-dimensional electron gas

Tsitsishvili

Levinson

1997

Phys. Rev. B

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We calculate the scattering rate of a test electron, due to the Auger process between Landau levels, for two-dimensional electrons in a random potential. The random potential is assumed to be smooth, and its correlation length is large compared to the magnetic length. Two Auger processes were considered. The first one is the Auger process in which two photoelectrons in the same Landau level are scattered, deexciting one to a lower level, losing energy, and exciting the second to a higher level, gaining energy. The second Auger process is the inverse one. In that case a photoelectron from an upper level and a thermal electron from a lower level are scattered, and both are transferred to the same intermediate level. It is shown that the scattering rate is largest for those Auger transitions in which the change in the Landau-level number is equal to 1. The dependence of the scattering rate on the test electron energy and the magnetic field are discussed. As an example, the Auger process in which the interacting electrons are in the second Landau level is considered. Numerical results of the dependence of the Auger scattering rate on the test electron energy and the magnetic field for this case are presented. Simplified formulas for the scattering rate are also suggested.

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