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On a two-dimensional electron gas modulated by a periodic potential

A K Das, M L Glasser and S H Payne

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After a brief introduction to the semiconductor heterojunction devices in which a two-dimensional electron gas can be realised and can be subjected to a periodic potential through a grating, the linear response function for this periodically modulated system is calculated in the random phase approximation. Two solvable models have been considered, based on the anisotropic electron kinematics arising from the periodic potential. For the first model, approximate and exact results are obtained when (the Fermi level) EF>2t (half the band width) while, for the second model, exact results are obtained when EF>2t as well as EF<2t. Results for the static polarisability and the plasmon dispersion are explicitly displayed.


PACS

73.40.Kp III-V semiconductor-to-semiconductor contacts, p-n junctions, and heterojunctions

73.21.-b Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems

73.20.At Surface states, band structure, electron density of states

71.15.-m Methods of electronic structure calculations

Subjects

Condensed matter: electrical, magnetic and optical

Semiconductors

Surfaces, interfaces and thin films

Dates

Issue 2 (20 January 1988)



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