Resonant Plasmon Response of a Periodically Modulated Two-Dimensional Electron Gas

• Authors: P. Sznajder , B. Piętka , J. Szczytko , J. Łusakowski , W. Bardyszewski
• Languages of publication: EN

Abstracts

EN

We report the theoretical study of the optical response of a periodically modulated two-dimensional electron gas. The density of states is calculated within the first order of the perturbation theory and the effects of the short-range disorder are explained and discussed. We demonstrate that the magnetic field values corresponding to the characteristic narrowing of the density of states width are given by the zeros of the subsequent Laguerre polynomials. The observed increase of the density of states at the edges are interpreted as van Hove singularities. The broadening effects are shown to modify and smear out the observed effects with increasing temperature above 2 K. The plasmon dispersion relation is discussed in terms of the random phase approximation. Small changes in plasmon dispersion relation related to the periodic modulation were predicted.

Keywords

EN

52.25.Mq; 52.40.Db; 73.20.-r; 71.10.Ca; 73.20.Mf

Discipline

• 73.20.-r: Electron states at surfaces and interfaces
• 52.25.Mq: Dielectric properties
• 52.40.Db: Electromagnetic (nonlaser) radiation interactions with plasma(for electromagnetic wave propagation in the ionosphere and magnetosphere, see 94.20.Bb and 94.30.Tz respectively)
• 73.20.Mf: Collective excitations (including excitons, polarons, plasmons and other charge-density excitations)(for collective excitations in quantum Hall effects, see 73.43.Lp)
• 71.10.Ca: Electron gas, Fermi gas

• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 6
• Pages: 1090-1092

Dates

published

2012-12

Contributors

author

P. Sznajder

• Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland

author

B. Piętka

• Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland

author

J. Szczytko

• Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland

author

J. Łusakowski

• Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland

author

W. Bardyszewski

• Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland

References

• 1. M. Dyakonov, M.S. Shur, Phys. Rev. Lett. 71, 2465 (1993)
• 2. S.A. Mikhailov, Phys. Rev. B 58, 1517 (1998)
• 3. F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 46, 4667 (1992)
• 4. M.S. Kushwaha, Surf. Sci. Rep. 41, 123, 363 (2001)
• 5. D. Weiss, K. v. Klitzing, K. Ploog, G. Weimann, Europhys. Lett. 8, 179 (1989)
• 6. D. Weiss, C. Zhang, R.R. Gerhardts, K. v. Klitzing, G. Weimann, Phys. Rev. B 39, 13020 (1989)

Identifiers

DOI

10.12693/APhysPolA.122.1090