Conclusion
Interacting electrons in quantum dots in a magnetic field exhibit very rich behaviour. As the field increases a series of transitions occurs in which the orbital angular momentum and spin of the ground state change in a way characteristic of the number of electrons. In the very strong field limit ‘molecular’ states occur which are well described by a harmonic expansion of the Hamiltonian. In addition ‘liquid-like’ states occur in 6-electron dot at odd denominator filling factors. Dot technology is advancing rapidly and there are hints that novel systems, such as double dots 42, 43 exhibit equally rich behaviour.
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
T. Chakraborty, Comments in Condensed Matter Physics 16:35 (1992).
M. Kastner, Physics Today 46:17 (1993).
D. Heitmann and J. P. Kotthaus, Physics Today 46:56 (1993).
N. F. Johnson, J. Phys. Cond. Mat. 7:965 (1995).
R. C. Ashoori, Nature 379:413 (1996).
P. A. Maksym, Springer Lecture Notes in Physics, in press.
T. Demel, D. Heitmann, P. Grambow and K. Ploog, Phys. Rev. Lett. 64:788 (1990).
C. Sikorski and U. Merkt, Phys. Rev. Lett. 62:2164 (1989).
S. Tarucha, D. G. Austing, T. Honda, R. J. Vanderhage and L. P. Kouvenhoven, Phys. Rev. Lett. 77:3613 (1996).
L. Solimany and D. Kramer, Solid State Commun, 7:471 (1995).
F. M. Peeters, A. Matulis and I. S. Ibrahim, Physica B 227:131 (1996).
M. Grundmann, 0. Stier and D. Bimberg, Phys. Rev. B 52:11969 (1995).
T. Ando, A. B. Fowler and F. Stern, Rev. Mod. Phys. 54:437 (1982).
P. L. McEuen, E.B. Foxman, U. Meirav, M. A. Kastner, Yigdal Meir, Ned D. Wingreen and S. J. Wind, Phys. Rev. Lett. 66:1296 (1991).
B. Meurer, D. Heitmann and K. Ploog, Phys. Rev. Lett. 68:1371 (1992).
R.C. Ashoori, H.L. Störmer, J.S. Weiner, L.N. Pfeiffer, K.W. Baldwin and K.W. West, Phys. Rev. Lett. 71:613 (1993).
J. Weis, R.J. Haug, K. v. Klitzing and K. Ploog, Phys. Rev. Lett. 71:4022 (1993).
L. Brey, N. F. Johnson and B. I. Halperin, Phys. Rev. B 40:10647 (1989).
P. A. Maksym and T. Chakraborty, Phys. Rev. Lett. 65:108 (1990).
D. Pfannkuche and R. R. Gerhardts, Phys. Rev. B 44:13132 (1991).
V. Gudmundsson, A. Brataas, P. Grambow, B. Meurer, T. Knurth and D. Heitmann, Phys. Rev. B 51:17744 (1995).
L. D. Hallam, J. Weis and P. A. Maksym, Phys. Rev. B 53:1452 (1996).
L.D. Hallam, N. A. Bruce and P.A. Maksym, Surface Science 361/362:648 (1996).
N. A. Bruce and P. A. Maksym, submitted to Phys. Rev. B.
V. Fock, Z. Phys. 47:446 (1928).
C. G. Darwin, Proc. Cambridge Philos. Soc. 27:86 (1930).
G. W. Bryant, Phys. Rev. Lett. 59:1140 (1987).
M. Ferconi and G. Vignale Phys. Rev. B 50:14722 (1994); These proceedings.
P. A. Maksym, L. D. Hallam and J. Weis, Physica B 212:213 (1995).
P. A. Maksym, Phys. Rev. B 53:10871 (1996).
P.A. Maksym and T. Chakraborty, Phys. Rev. B 45:1947 (1992).
M. Wagner, U. Merkt and A. V. Chaplik, Phys. Rev. B 45:1951 (1992).
P.A. Maksym, Physica B 184:385 (1993).
W. Y. Ruan, Y. Y. Liu, C. G. Bao and Z. O. Zhang, Phys. Rev. B 51:7942 (1995).
P. A. Maksym, Europhys. Lett. 31:405 (1995).
T. Seki, Y. Kuramoto and T. Nishino, J. Phys. Soc. Japan 65:3945 (1996).
C. G. Bao, W. Y. Ruan and Y. Y. Liu, Phys. Rev. B 53:10820 (1996).
F. Bolton and U. Rössler, Superlattices and Microstructures 13:139 (1993).
J. K. Jain and T. Kawamura, Europhys. Lett. 29:321 (1995).
H. Imamura, P. A. Maksym and H. Aoki, submitted to Surface Science.
S. M. Girvin and T. Jacah, Phys. Rev. B 28:4506 (1984).
K. Bollweg, T. Kurth, D. Heitmann, E. Vasiliadou, P. Grambow and K. Eberl Surface Science 361/362:766 (1996).
H. Imamura, P. A. Maksym and H. Aoki, Phys. Rev. B 53:12613, (1996).
P. A. Maksym in “High Magnetic Fields in the Physics of Semiconductor Physics II” eds. G. Landwehr and W. Ossau, World Scientific, Singapore 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Maksym, P.A. (2002). Quantum Dots in Strong Magnetic Fields. In: Schmelcher, P., Schweizer, W. (eds) Atoms and Molecules in Strong External Fields. Springer, Boston, MA. https://doi.org/10.1007/0-306-47074-8_36
Download citation
DOI: https://doi.org/10.1007/0-306-47074-8_36
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-45811-8
Online ISBN: 978-0-306-47074-5
eBook Packages: Springer Book Archive