Abstract
The solution of two- and three-dimensional two-body Coulomb systems in a homogeneous magnetic field are investigated in the low- and intermediate-field regimes. In the two-dimensional case we give exact particular solutions for hydrogenic and two-electron systems. We also present results of variational calculations performed with a basis set which reproduces exactly the low field particular solutions as well as the asymptotic high-field behavior. For the three-dimensional case, we restrict ourselves to the problem of magneto-excitons and discuss particular features of the magneto-optical spectra obtained by means of variational calculations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.C. Gray, The Spectrum of Atomic Hydrogen, Advances, G.W. Series, ed. (World Scientific, Singapore, 1988), pp. 369.
For reviews on excitons in external magnetic fields see: H. Hasegawa in Physics of Solids in Intense Magnetic Fields, E.D. Haidemanakis, ed. (Plenum, New York, 1969), pp. 246;
F. Bassani and A. Baldereschi, Surface Science 37, 304 (1973);
H.J. Zeiger and G.W. Pratt, Magnetic Interactions in Solids (Clarendon Press, Oxford, 1973) Chap. 7.
In the context of astrophysics see: R.H. Garstang, Rep. Prog. Phys. 40, 105 (1977);
G. Wunner, H. Herold and H. Ruder, J. Phys. B 16, 2937 (1983), and references therein.
D. Bimberg, Festkörperprobleme XVII, Adv. in Solid State Physics, J. Treusch, ed. (Pergamon-Vieweg, Braunschweig, 1977) pp. 195.
D.C. Tsui, H.L. Störnier and A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
R.B. Laughlin, Phys. Rev. B 27, 3383 (1983).
G. Wunner and H. Ruder, J. Physique Coll. C2 Suppl. 11 43, 137 (1980).
D.G. Thomas and J.J. Hopfield, Phys. Rev. 124, 657 (1961).
O. Akimoto and H. Hasegawa, J. Phys. Soc. Japan 22, 181 (1967).
M. Shinada and K. Tanaka, J. Phys. Soc. Japan 29, 1258 (1970).
A.H. MacDonald and D.S. Ritchie, Phys. Rev. B 33, 8336 (1986).
L.I. Schiff and H. Snyder, Phys. Rev. 55, 59 (1939).
R.J. Elliott and R. Loudon, J. Phys. Chem. Solids 8, 382 (1959).
R.J. Elliott and R. Loudon, J. Phys. Chem. Solids 15, 196 (1960).
A. Baldereschi and F. Bassani, Proc. X Int. Conf. Phys. Semiconductors, (Cambridge Massachusetts, 1970), pp. 191.
A.G. Zhilich and B.S. Monozon, Fiz. Tverd. Tela 8, 3559 (1966) (English translation Sov. Phys. Solid State 8, 2846 (1967).)
J.E. Avron, I.W. Herbst and B. Simon, Phys. Rev. A 20, 2287 (1979).
R.G. Wheeler and J.O. Dimmock, Phys. Rev. 125, 1805 (1962);
J.C. Miklosz and R.G. Wheeler, Phys. Rev. 153, 913 (1967).
Y. Yafet, R.W. Keyes and E.N. Adams, J. Phys. Chem. Solids 1, 137 (1956);
E.P. Pokatilov and M.M. Rusanov, Fiz. Tverd. Tela 10, 3117 (1968) (English translation Sov. Phys. Solid State 10, 2458 (1969));
D.M. Larsen, J. Phys. Chem. Solids 29, 271 (1968);
D. Cabib, E. Fabri and G. Fiorio, Solid State Commun. 9, 1517 (1971);
W. Ekardt, Solid State Commun. 16, 233 (1975);
M. Cohen and S. Kais, J. Phys. B 17, 3049 (1984);
J.A.C. Gallas, J. Phys. B 18, 2199 (1985);
P.C. Rech, M.R. Gallas and J.A.C. Gallas, J. Phys. B 19, L215 (1986).
D. Cabib, E. Fabri and G. Fiorio, Nuovo Cimento 10B, 185 (1972);
N. Lee, D.M. Larsen and B. Lax, J. Phys. Chem. Solids 34, 1059 (1973);
Y. Chen, B. Gil and H. Mathieu, Phys. Rev. B 34, 6912 (1986).
B. Gerlach, D. Richter and J. Pollmann, Z. Phys. B 66, 419 (1987).
A. Baldereschi, Theoretical Aspects on New Developments in Magneto-Optics, J.T. Devreese, ed. (Plenum, New York, 1980), pp. 291.
L. Fritsche, Phys. Stat. Sol. 34, 195 (1969);
L. Fritsche and F.D. Heidt, Phys. Stat. Sol. 35, 987 (1969).
N.O. Lipari and J. Pollmann, Inst. Phys. Conf. Ser. 43, 1097 (1979).
M. Altarelli and N.O. Lipari, Phys. Rev. B 37, 3798 (1973);
M. Altarelli and N.O. Lipari, Phys. Rev. B 9, 1733 (1974);
N.O. Lipari and M. Altarelli, Solid State Commun. 33, 47 (1980).
L. Swierkovski, Phys. Rev. B 10, 3311 (1974);
L. Swierkovski, Nuovo Cimento B 29, 340 (1975).
K. Cho, S. Suga, W. Dreybrodt and F. Willmann, Phys. Rev. B 1, 1512 (1975);
K. Cho, W. Dreybrodt, P. Hiesinger, S. Suga and F. Willmann, Proc. XII Int. Conf. Phys. Semiconductors, Stuttgart 1974, pp. 945.
A. Baldereschi and N.O. Lipari, Phys. Rev. B 3, 439 (1971);
N.O. Lipari and A. Baldereschi, Phys. Rev. B 5, 2497 (1971);
N.O. Lipari and A. Baldereschi, Phys. Rev. B 6, 3764 (1972).
A. Baldereschi and N.O. Lipari, Phys. Rev. B 8, 2697 (1973);
A. Baldereschi and N.O. Lipari Phys. Rev. B 9, 1525 (1974);
N.O. Lipari, Solid State Commun. 25, 665 (1978).
See for example, G.E.W. Bauer and T. Ando, Phys. Rev. B 37, 3130 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Baldereschi, A., Binggeli, N. (1989). Two-Particle Coulomb Systems in a Magnetic Field. In: Doni, E., Girlanda, R., Parravicini, G.P., Quattropani, A. (eds) Progress in Electron Properties of Solids. Physics and Chemistry of Materials with Low-Dimensional Structures, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2419-2_15
Download citation
DOI: https://doi.org/10.1007/978-94-009-2419-2_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7590-9
Online ISBN: 978-94-009-2419-2
eBook Packages: Springer Book Archive