1997
DOI: 10.1103/physrevb.56.6921
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Auger scattering between Landau levels in a two-dimensional electron gas

Abstract: 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.… Show more

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Cited by 13 publications
(8 citation statements)
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“…Processes involving the scattering of two electrons from Landau level n, to Landau levels n + m and n − q with m = q, are forbidden due to quasi angular momentum (k-vector) conservation. It has been shown theoretically 24 that the most efficient scattering is to the adjacent Landau levels (m = 1). The total probability of scattering to the outlying Landau levels (m = 2, 3, 4, · · · ) is roughly the same as the probability of scattering to the nearest Landau level (m = 1).…”
mentioning
confidence: 99%
“…Processes involving the scattering of two electrons from Landau level n, to Landau levels n + m and n − q with m = q, are forbidden due to quasi angular momentum (k-vector) conservation. It has been shown theoretically 24 that the most efficient scattering is to the adjacent Landau levels (m = 1). The total probability of scattering to the outlying Landau levels (m = 2, 3, 4, · · · ) is roughly the same as the probability of scattering to the nearest Landau level (m = 1).…”
mentioning
confidence: 99%
“…Since they involve inter-LL scattering of charged carriers, the e-h symmetry no longer holds which gives rise to interactions between MX's. It should be emphasized that since the LL's are discrete, the amplitude of Auger process can be large and, in fact, is restricted mainly by the inhomogeneous [24,25] or homogeneous (due to phonons) LL broadening. In fact, in strong field, the relevant energy scale, E 0 ∼ e 2 /κl, is set by interactions, so that an adequate description of the nonlinear optical response should treat the Auger processes nonperturbatively.…”
Section: Introductionmentioning
confidence: 99%
“…The Auger process rate in a quantum well with magnetic field has also been calculated. 7 However, the real band structure of semiconductors has been neglected and only interband transitions between electron Landau levels have been taken into account. The rates of Auger processes in semiconductors with complicated valence band structure ͑i.e., with heavy hole states taken into account͒ in a magnetic field have not been reported in the literature.…”
Section: Introductionmentioning
confidence: 99%