At helium temperatures electron–electron scattering determines the phase breaking and therefore limits the size of quantum interference devices. The electron–electron scattering times and scattering lengths are calculated numerically for ideal single mode quantum wires. The striking result of the present work is that there is no saturation of the electron–electron scattering time at low temperatures in an ideal single mode quantum wire without impurity scattering, in contrast to the two‐ and three‐dimensional cases. Phase coherence lengths up to 10 mm are predicted for mK temperatures and up to 50 μm around 4 K. Conditions to observe such long coherence lengths are discussed.
REFERENCES
1.
2.
3.
N. W. Ashcroftand N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976), pp. 346–348.
4.
H. L.
Stormer
, L. N.
Pfeiffer
, K. W.
Baldwin
, and K. W.
West
, Phys. Rev. B
41
, 1278
(1990
).5.
A.
Yacoby
, U.
Sivan
, C. P.
Umbach
, and J. M.
Hong
, Phys. Rev. Lett.
66
, 1938
(1991
).6.
7.
8.
T. Ikoma, T. Odagiri, and K. Hirakawa, 22nd International Conference on Solid State Devices and Materials, Sendai, Japan Society of Applied Physics (1990), pp. 717–720;
T.
Hiramoto
, K.
Hirakawa
, Y.
Iye
, and T.
Ikoma
, Appl. Phys. Lett.
54
, 2103
(1989
).9.
Y. K.
Fukai
, S.
Yamada
, and H.
Nakano
, Appl. Phys. Lett.
56
, 2123
(1990
).10.
S. Kawaji, K. Kuboki, H. Shigeno, T. Nambu, J. Wakabayashi, J. Yoshino, and H. Sakaki, Proceedings of the 17th International Conference on the Physics of Semiconductors, edited by J. D. Chadi and W. A. Harrison (Springer, New York, 1985), p. 413.
11.
G. Fasol (unpublished).
12.
D. Pines and P. Nozieres, The Theory of Quantum Liquids (Addison-Wesley, Red Wood City, 1989), Vol. 1;
13.
14.
15.
This content is only available via PDF.
© 1992 American Institute of Physics.
1992
American Institute of Physics
You do not currently have access to this content.
