Abstract
The low-temperature ballistic transport properties of quantum wires prepared by the cleaved edge overgrowth method in the GaAs/AlGaAs material system are presented. As the Fermi energy in these one-dimensional (1D) systems is varied by application of a gate voltage a series of quantized conductance plateaus is observed. The plateau values significantly deviate from integer multiples of 2·e 2 /h and show a power law increase with increasing temperature as predicted by Luttinger liquid (LL) theory. The characteristic power law scaling exponent is obtained as a function of the Fermi energy and the number of occupied 1D subbands. From nonlinear current-voltage characteristics across the quantum wires independent LL power law scaling exponents can be deduced. The latter are found to be consistent with those obtained from temperature dependent measurements. In order to rule out contact effects as the only origin of the observed deviations we have investigated a series of quantum wires of different lengths and find quenching of the Luttinger liquid behavior as the wire length is increased. This observation is in agreement with a detailed analysis of reproducable conductance fluctuations which are superimposed on the conductance plateaus.
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Bibliography
S. Tarucha, T. Honda, and T. Saku, Solid State Comm. 94, 413 (1995).
R. Held, S. Lüscher, T. Heinzel, K. Ensslin, W. Wegscheider, Appl. Phys. Lett. 75, 1134 (1999).
L. Pfeiffer, K. W. West, H. L. Störmer, J. P. Eisenstein, K. W. Baldwin, D. Gershoni, and J. Spector, Appl. Phys. Lett. 56, 1697 (1990).
W. Wegscheider, W. Kang, L. N. Pfeiffer, K. W. West, H. L. Stormer, und K. W. Baldwin, Solid-State Electron. 37, 547 (1994).
A. Yacoby, H. L. Stormer, N. S. Wingreen, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 77, 4612 (1996).
F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
W. Apel and T. M. Rice, Phys. Rev. B 26, 7063 (1982).
C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 68, 1220 (1992); C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 15233 (1992).
D. Yue, L. I. Glazman, and K. A. Matveev, Phys. Rev. B 49, 1966 (1994).
Y. Oreg and A. M. Finkel'stein, Phys Rev. B 54, R14265 (1996).
O. M. Auslaender, A. Yacobi, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 84, 1764 (2000).
C. W. J. Beenakker an H. van Houten, in Solid State Physics, Semiconductor Heterostructures and Nanostructures, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1991).
D. L. Maslov and M. Stone, Phys. Rev. B 52, R5539 (1995); I. Safi and H. J. Schulz, Phys. Rev. B 52, R17040 (1995).
D. L. Maslov, Phys Rev. B 52, R14368 (1995).
K. A. Matveev and L. I. Glazman, Physica B 189, 266 (1993).
A. Kawabata and T. Brandes, J. Phys. Soc. Jpn. 65, 3712 (1996); N. P. Sandler and D. L. Maslov, Phys. Rev. B 55, 13808 (1997).
M. Steiner and W. Häusler, Solid State Commun. 104, 799 (1997).
R. Egger and H. Grabert, Phys Rev. B 58, 10761 (1998).
A. Y. Alekseev and V. V. Cheianov, Phys Rev. B 57, R6834 (1998).
S. R. Renn, D. P. Arovas, Phys. Rev. Lett. 78, 4091 (1997).
R. de Picciotto, H. L. Stormer, A. Yacoby, K. W. Baldwin, L. N. Pfeiffer and K. W. West, in Proceedings of the 13 th International Conference on the Electronic Properties of Two-dimensional Systems, to appear in Physica E.
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© 2000 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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Wegscheider, W., Rother, M., Ertl, F., Deutschmann, R.A., Bichler, M., Abstreiter, G. (2000). Quantum wires as Luttinger liquids: experiment. In: Kramer, B. (eds) Advances in Solid State Physics 40. Advances in Solid State Physics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108348
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DOI: https://doi.org/10.1007/BFb0108348
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