Nonlocality in the Two-Dimensional Plasmon Dispersion

E. Batke; D. Heitmann; J. P. Kotthaus; K. Ploog

doi:10.1103/PhysRevLett.54.2367

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Nonlocality in the Two-Dimensional Plasmon Dispersion

E. Batke^*, D. Heitmann, and J. P. Kotthaus

K. Ploog

Institut für Angewandte Physik, Universität Hamburg, D-2000 Hamburg 36, West Germany

Max Planck Institut für Festkörperforschung, D-7000 Stuttgart 80, West Germany

^*Present address: AT&T Bell Laboratories, Murray Hill, N.J. 07974.

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Phys. Rev. Lett. 54, 2367 – Published 27 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2367

Abstract

Two-dimensional plasmons have been investigated in AlGaAs-GaAs heterostructures with transmission spectroscopy. In a magnetic field $B$ , we observe an interaction of the plasmon excitation with harmonics of the cyclotron-resonance frequency $ω_{c} = \frac{eB}{m}$ , which arises from nonlocal effects on the two-dimensional-plasmon excitation and is governed by the parameter ${(\frac{q v_{F}}{ω_{c}})}^{2}$ ( $q$ is the plasmon wave vector; $v_{F}$ is the Fermi velocity). The dispersion and the excitation strengths of the combined resonances are in excellent quantitative agreement with a quasiclassical nonlocal theory.

References (20)

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[c1] M. H. Cohen, M. J. Harrison, and W. A. Harrison, Phys. Rev. 117, 937 (1960)

[c2] F. Stern, Phys. Rev. Lett. 18, 546 (1967)

[c3] K. W. Chiu and J. J. Quinn, Phys. Rev. B 9, 4724 (1974)

[c4] T. Ando, Solid State Commun. 27, 895 (1978)

[c5] M. L. Glaser, Phys. Rev. B 28, 4387 (1983)

[c6] A. V. Chaplik and D. Heitmann, J. Phys. C 18, 3357-3364 (1985)

[c7] T. N. Theis, J. P. Kotthaus, and P. J. Stiles, Solid State Commun. 24, 273 (1977)

[c8] E. G. Mohr and D. Heitmann, J. Phys. C 15, L753 (1982)

[c9] T. Ando, Phys. Rev. Lett. 36, 1383 (1976)

[c10] G. Abstreiter, J. P. Kotthaus, J. F. Koch, and G. Dorda, Phys. Rev. B 14, 2480 (1976)

[c11] D. J. Oldego, A. Pinczuk, A. C. Gossard, and W. Wiegmann, Phys. Rev. B 25, 7867 (1982)

[c12] R. Höpfel, G. Lindemann, E. Gornik, G. Stangl, A. C. Gossard, and W. Wiegmann, Surf. Sci. 113, 118 (1982)

[c13] S. J. Allen, Jr., D. C. Tsui, and R. A. Logan, Phys. Rev. Lett. 38, 986 (1977)

[c14] E. Batke and D. Heitmann, Infrared Phys. 24, 189 (1984)

[c15] W. Seidenbusch, G. Lindemann, R. Lassnig, J. Edlinger, and G. Gornik, Surf. Sci. 142, 375 (1984)

[c16] M. Horst, U. Merkt, W. Zawadzki, J. C. Maan, and K. Ploog, Solid State Commun. 53, 403 (1985)

[c17] A. V. Chaplik, Zh. Eksp. Teor. Fiz. 62, 746 (1972) [Sov. Phys. JETP 35, 395 (1972)]

[c18] M. V. Krasheninnikov and A. V. Chaplik, Fiz. Tekh. Poluprovodn. 15, 32 (1981) [Sov. Phys. Semicond. 15, 19 (1981)]

[c19] U. Mackens, D. Heitmann, L. Prager, J. P. Kotthaus, and W. Beinvogl, Phys. Rev. Lett. 53, 1485 (1984)

[c20] K. Tsubaki, H. Sakaki, J. Yoshino, and Y. Sekiguchi, Appl. Phys. Lett. 45, 663 (1984)

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Nonlocality in the Two-Dimensional Plasmon Dispersion

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