The Thermoelectric Behaviour of two Dimensional Electron and Hole Gases and Quantum Point Contacts
Considerable progress has been made over the last ten years in understanding the thermoelectric behaviour of low dimensional transport systems. There are two regimes to consider. At low temperatures (below about 1K) the effect of phonons is negligible. This is the “diffusion” thermopower regime which we discuss briefly for 2D electron gases (2DEGS) in Section 2. In Section 3 we discuss a particularly interesting aspect of the formalism for 2DEGS which is that it may be modified easily to apply to the quantisation effects observed recently in quantum point contacts (van Wees et al, 1988; Wharam et al, 1988; van Houten et al, 1992; Molenkamp et al 1992).
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- Barraclough, R.J., Fromhold, T.M., Rodgers, P.J., Gallagher, B.L., Jezierski, A., Henini, M., Butcher, P.N., and Hill, G., 1993, in preparation for Phys. Rev. B. Google Scholar
- Beenakker, C.W.J, and van Houten, H., 1991, Quantum transport in semiconductor nanostructures in Solid State Physics Vol 44, Ehrenreich and Turnball, eds, Academic Press, New York.Google Scholar
- Butcher, P.N., 1992, Theory of electron transport in low dimensional structures, in Physics of Low -Dimensional Semiconductor Structures, P.N. Butcher, N.H. March and M.P. Tosi, eds, Plenum, New York.Google Scholar
- Chamberlain, J.M., 1992, private communication.Google Scholar
- Fromhold, T.M., Butcher, P.N., Qin, G., Mulimani, B.G., Oxley, J.P., and Gallagher, B.L., 1992, 180° phase shift of phonon drag magnetothermopower oscillations in high mobility 2DEGS, Surf. Sci. 263: 183.Google Scholar
- Fromhold, T.M., Butcher, P.N., Qin, G., Mulimani, B.G., Oxley, J.P., and Gallagher, B.L., 1993, Phonon drag magnetothermopower oscillations in GaAs/AlGaAs heterojunctions, submitted to Phys. Rev. B.Google Scholar
- Gallagher, B.L. and Butcher, P.N., 1992, Classical transport and thermoelectric effects in low dimensional and mesoscopic semiconductor structures, in Handbook on Semiconductors Vol. 1, P.T. Landsberg, ed., North Holland, AmsterdamGoogle Scholar
- Kittel, C, 1976, Introduction to Solid State Physics, John Wiley, New York.Google Scholar
- Ziman, J.M., 1989, “Principles of the Theory of Solids”, Cambridge University Press, Cambridge.Google Scholar