Abstract
An experimental and theoretical study of transport in constricted geometries in the two-dimensional electron gas in high mobility GaAs-AlGaAs heterostructures is described. A discussion is given of the influence of boundary scattering on the quantum interference corrections to the classical Drude conductivity in a quasi-ballistic regime, where the transport is ballistic over the channel width, but diffusive over its length. Additionally, results are presented of a recent study of fully ballistic transport through quantum point contacts of variable width defined in the two dimensional electron gas. The zero field conductance of the point contacts is found to be quantized at integer multiples of 2e 2/h, and the injection of ballistic electrons in the two dimensional electron gas is demonstrated in a transverse electron focussing experiment.
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
See the review by P.A. Lee and T.V. Ramakrishnan, Rev. Mod. Phys. 57 (1985) 287.
B.L. Al’tshpler, Pis’ma Zh.Eksp. Teor. Fiz. 41 (1985) 530 (JETP Lett., 41 (1985) 648 ); P.A. Lee, A. D. Stone and H. Fukuyama, Phys. Rev. B. 35 (1987) 1039.
C.P. Umbach, P. Santhanam, C. van Haesendonck and R.A. Webb, Appl. Phys. Lett., 50 (1987) 1289;
W.J. Skocpol, P.M. Mankiewich, R.E. Howard, L.D. Jackel, D.M. Tennant and A.D. Stone, Phys. Rev. Lett. 58 (1987) 2347.
G. Timp, A.M. Chang, P. Mankiewich, R. Behringer, J.E. Cunningham, T.Y. Chang and R.E. Howard, Phys. Rev. Lett. 59 (1987) 732; M.L. Roukes, A. Scherer, S.J. Allen Jr., H.G. Craighead, R.M. Ruthen, E.D. Beebe and J.P. Harbison, Phys. Rev. Lett. 59 (1987) 3011.
H. van Houten, C.W.J. Beenakker, B.J. van Wees and J.E. Mooij, Surf. Sci. 196 (1988) 144; H. van Houten, C.W.J. Beenakker, M.E.I. Broekaart, M.G.J. Heijmans, B.J. van Wees, J.E. Mooij and J.P. André, Acta Electronica, in press.
C.W.J. Beenakker and H. van Houten, Phys. Rev. B. in press.
Y. V. Sharvin, Zh. Eksp. Teor. Fiz. 48 (1965) 984 (Soy. Phys.-JETP 21 (1965) 655 ).
B.J. van Wees, H. van Houten, C.W.J. Beenakker, J.G. Williamson, L.P. Kouwenhoven, D. van der Marel and C.T. Foxon, Phys. Rev. Lett. 60 (1988) 848.
H. van Houten, B.J. van Wees, J.E. Mooij, C.W.J. Beenakker, J.G. Williamson, C.T. Foxon, Europhys. Lett., in press.
R. Landauer, I.B.M. J. Res. Dev. I.(1957) 223; Z. Phys. B 68 (1987) 217.
S. Chakravarty and A. Schmid, Physics Reports 140 (1986) 193.
B.L. Altshuler and A.G. Aronov, Pis’ma Zh. Eskp. Thor. Fiz. 33 (1981) 515 (JETP Lett. 33 (1981) 499 ).
V.K. Dugaev and D.E. Khmel’nitskii, Zh. Eksp. Teor. Fiz. 86 (1984) 1784. (Soy. Phys. JETP 59 (1984) 1038 );
See also R. Landauer and M. Büttiker, Phys. Rev. B. 36 (1987) 6255.
This phenomenon is also encountered in thin superconducting films, P.G. de Gennes and M. Tinkham, Physics (New York), 1 (1964) 107;
T.J. Thornton, M. Pepper, H. Ahmed, D. Andrews and G.J. Davies, Phys. Rev. Letters, 56 (1986) 1198; H.Z. Zheng, H.P. Wei and D.C. Tsui, Phys. Rev. B 34 (1986) 5635.
Similar experimental results were obtained by D.A. Wharam, T.J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J.E.F. Frost, D.G. Hasko, D.C. Peacock, D.A. Ritchie, G.A.C. Jones, J. Phys. C, to be published.
Sharvin contact resistances have been mentioned in the context of theoretical discussions of idealized mesoscopic systems in M. Büttiker, Phys. Rev. B. 33 (1986) 3020; and Phys. Rev. B, 35 (1987) 4123; Y. Imry in Directions in Condensed Matter Physics, Vol. 1, ed. G. Grinstein and G. Mazenko, World Scientific, Singapore (1986) 102; See also B. van de Leemput, University of Nijmegen, The Netherlands, Master Thesis.
B.I. Halperin, Phys. Rev. B 25 (1982) 2185
P. Streda, J. Kucera and A.H. MacDonald, Phys. Rev. Lett. 59 (1987) 1973.
K.-F. Berggren, T.J. Thornton, D.J. Newson and M. Pepper, Phys. Rev. Lett. 57 (1986) 1769; H. van Houten, B. J. van Wees, J.E. Mooij, G. Roos and K.-F. Berggren, Superlattices and Microstructures, 3, (1987) 497.
B.J. van Wees, L.P. Kouwenhoven, H. van Houten, C.W.J. Bcenakker, J.E. Mooij, C.T. Foxon and J.J. Harris, subm. to Phys. Rev. Lett.
H. van Houten, C.W.J. Beenakker, P.H.M. van Loosdrecht, T.J. Thornton, H. Ahmed, M. Pepper, C.T. Foxon and J.J. Harris, subm. to Phys. Rev. B.
V.S. Tsoi, ZhETF Pis. Red. 19 (1974) 114 (JETP Lett. 19 (1974) 70 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
van Houten, H., van Wees, B.J., Beenakker, C.W.J. (1988). Quantum and Classical Ballistic Transport in Constricted Two-Dimensional Electron Gases. In: Heinrich, H., Bauer, G., Kuchar, F. (eds) Physics and Technology of Submicron Structures. Springer Series in Solid-State Sciences, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83431-8_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-83431-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83433-2
Online ISBN: 978-3-642-83431-8
eBook Packages: Springer Book Archive