Abstract
A theoretical survey will be given of the properties of quasi-two-dimensional polarons in a magnetic field. One polaron and many-polaron effects will be discussed. The cyclotron resonance absorption spectrum of a gas of quasi-two-dimensional polarons is calculated using linear response theory. The calculation is based on a memory function formalism. Band non-parabolicity and the many-body character of the system with inclusion of the full dynamical screening of the electron-phonon interaction is incorporated. Comparison is made with experimental results on the cyclotron mass in GaAs/Al x Ga1−x As heterostructures. We found that for electron densities larger than 1.4 × 1011 cm −2 the polaron mass renormalization is smaller than for the corresponding bulk GaAs system.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
T. Ando, A.B. Fowler and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
See e.g. J. Shah, in The Physics of the Two-Dimensional Electron Gas, edited by J.T. Devreese and F.M. Peeters ( Plenum Press, New York, 1987 ).
S. Das Sarma and A. Madhukar, Phys. Rev. B22, 2823 (1980).
S. Das Sarma and B.A. Mason, Ann. Phys. (N.Y.) 163, 78 (1985).
Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B31, 3420 (1985).
F.M. Peeters and J.T. Devreese, Phys. Rev. B36, 4442 (1987).
F.IVI. Peeters, Xiaoguang Wu and J.T. Devreese, Phys. Rev. B37, 933 (1988).
U. Merkt, M. Horst and J.P. Kotthaus, Physica Scripta T13, 272 (1986).
H. Sigg, P. Wyder and J.A.A.J. Perenboom, Phys. Rev. B31, 5253 (1985).
M. Horst, U. Merkt, W. Zawadzki, J.C. Maan and K. Ploog, Solid State Commun. 53, 403 (1985).
M.A. Hopkins, R.J. Nicholas, M.A. Brummell, J.J. Harris and C.T. Foxon, Superlatt. and Microstr. 2, 319 (1986); Phys. Rev. B36, 4789 (1987).
F. Thiele, U. Merkt, J.P. Kotthaus, G. Lommer, F. Malcher, U. Rössler and G. Weimann, Solid Stat. Commun. 62, 841 (1987).
C.J.G.M. Langerak, J. Singleton, P.J. van der Wel, J.A.A.J. Perenboom, D.J. Barnes, R.J. Nicholas, M.A. Hopkins and C.T.B. Foxon (to be published)
M. Ziesmann, D. Heitmann and L.L Chang, Phys. Rev. B35, 4541 (1987).
S. Das Sarma, Phys. Rev. Lett. 52, 859 (1984).
D.M. Larsen, Phys. Rev. B30, 4807 (1984).
F.M. Peeters and J.T. Devreese, Phys. Rev. B31, 3689 (1985).
G. Lindemann, R. Lassnig, W. Seidenbusch and E. Gornik, Phys. Rev. B28, 4693 (1983).
D.M. Larsen, Phys. Rev. B30, 4595 (1984).
R. Lassnig, Surface Sci. 170, 549 (1986).
D.M. Larsen and E.J. Johnson, J. Phys. Soc. J.n., Suppl. 21, 443 (1966).
Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B34, 8800 (1986); F.M. Peeters, Wu Xiaoguang and J.T. Devreese, Physica Scripta T13, 282 (1986).
M. Horst, U. Merkt and J.P. Kotthaus, Phys. Rev. Lett. 50, 754 (1983).
J. Singleton, R.J. Nicholas, R.C. Rogers and C.T.B. Foxon, Surf. Sci. 196 (1988).
Wu Xiaoguang, F.M. Peeters and J.T. Devreese, in the Proc. of the 18 th Int. Conf. on the Phys. of Semicond., Ed. O. Engström ( World Scientific, Singapore, 1987 ) 589.
Wu Xiaoguang, F. M. Peeters, and J. T. Devreese, Phys. Stat. Sol. (b) 143, 581 (1987).
N. J. boring and M. M. Yildiz, Ann. Phys. (N.Y.) 97, 216 (1976).
M. L. Glasser, Phys. Rev. B 28, 4387 (1983).
Wu Xiaoguang, F. M. Peeters, and J. T. Devreese, Phys. Rev. B36, 9760 (1987).
D.M. Larsen, Phys. Rev. B 36, 3304 (1987).
R. Lassnig and W. Zawadzki, Surface Sci. 142, 388 (1984).
R.J. Nicholas, L.C. Brunel, S. Huant, K. Karrai, J.C. Portal, M.A. Brummell, M. Razeghi, K.Y. Cheng and A.Y. Cho, Phys. Rev. Let. 55, 883 (1985).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Devreese, J.T., Peeters, F.M. (1989). Polarons in 2D-Systems Subjected to a Magnetic Field. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics II. Springer Series in Solid-State Sciences, vol 87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83810-1_70
Download citation
DOI: https://doi.org/10.1007/978-3-642-83810-1_70
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83812-5
Online ISBN: 978-3-642-83810-1
eBook Packages: Springer Book Archive