Some General Input-output Rules Governing Hall Coefficient Behavior
Many calculations of the ordinary weak-field Hall coefficient have been carried out during the 100 years since its discovery. This paper examines a subset of those calculations which apply to transport models satisfying certain constraints. A set of general rules are developed which link the behavior of the Hall factor r (Ro = r/ne) to three basic features characterizing each of those models.
KeywordsFermi Surface Transport Model Hall Effect Hall Coefficient Anisotropic Model
Unable to display preview. Download preview PDF.
- Becker, R., 1933, “Theorie der Electrizität, Band II,” Teubner, Leipzig, p. 208.Google Scholar
- Beer, A. C., 1963, “Solid State Physics, Suppl. 4,” Academic Press, New York and London.Google Scholar
- Boning, K., 1970, Phys. Kondens. Mat., 11: 177.Google Scholar
- Campbell, L. L., 1923, “Galvanomagnetic and Thermomagnetic Effects — The Hall and Allied Phenomena,” Longmans, Green & Co., New York. Reprinted, 1960, Johnson Reprint Corporation, New York.Google Scholar
- Jan, J.-P., 1957, “Solid State Physics, Vol. 5,” Academic Press, New York and London, p. 1.Google Scholar
- Miyazawa, H., 1962, “Proceedings of the Conference on the Physics of Semiconductors,” The Institute of Physics and the Physical Society, London, p. 636.Google Scholar
- Page, L., and Adams, N. I., 1949, “Principles of Electricity,” Van Nostrand, Princeton, 2nd ed., p. 287; 1969, 4th ed., p. 249.Google Scholar
- Richardson, O. W., 1914, “The Electron Theory of Matter,” University Press, Cambridge, p. 436.Google Scholar
- Thomson, W. (Lord Kelvin), 1851, Trans. Roy. Soc. (Edinburgh), March issue; see also, 1882, “Mathematical and Physical Papers,” Volume 1, p. 273.Google Scholar