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Multiple Scattering of Electrons in Condensed Matter Physics: An Overview

Published online by Cambridge University Press:  25 February 2011

B.L. Gyorffy*
Affiliation:
H.H. Wills Physics Laboratory, University of Bristol Tyndall AvenueBristol BS8 ITL
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Abstract

The Multiple Scattering strategy for studying electrons in condensed matter is reviewed. It is emphasized that this approach is effective for the Dirac and Bogoliubov-de Gennes equations, describing relativistic and superconducting quasi-particles respectively, as well as the usual Schrödinger's equation which arises during the implementation of the Density Functional Theory.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

Beeby, J.L. and Edwards, S.F., Proc. Roy. Soc. London Ser., A274 395 (1963)Google Scholar
Beeby, J.L., J Phys. C : Solid State Phys. 1 82 (1968)Google Scholar
Bengston, R. and Schuck, P., Physics Letters 89B 321 (1990)Google Scholar
Brown, R.G. and Ciftan, M. Phys. Rev., B27 4564 (1983); B32 1343 (1985)CrossRefGoogle Scholar
Butler, W.H., Phys. Rev., B31 3260 (1985)CrossRefGoogle Scholar
Durham, P.J. in “Electronic Structure of Complex Systems”, eds. Phorisean, P. and Temmerman, W.M. (Plen Press ASI Series B Physics Vol. 113) p.709 (1984)CrossRefGoogle Scholar
Ehrenreich, H. and Schwartz, L.Solid State Physics” Eds. Ehrenreich, H. Seitz, F. and Turnbull, D. (Academic Press 1976)Google Scholar
Evans, R. and Keller, J. J. Phys., C4 3155 (1971)Google Scholar
Faulkner, J.S., Progress in Material Science, 27 1 (1982)CrossRefGoogle Scholar
Faulkner, J.S. Phys. Rev., B19 6186 (1979); Phys. Rev., B34 5931 (1986)Google Scholar
Feder, R., Rositcky, F. and Ackermann, B., Z. fir Physik, B52 31(1983)Google Scholar
Friedel, J., Philos. Mag., 43 153 (1952)Google Scholar
Friedel, J., Can. J. Phys., 34 1190 (1956)Google Scholar
Gonis, A. Phys. Rev., B33 5914 Google Scholar
Gyorffy, B.L. and Stott, J.M., Solid State Comm. (1972)Google Scholar
Gyorffy, B.L. and Stott, M.J. in “Band Structure Spectroscopy of Metals on Alloys” Ed. Fabian, D.J. and Watson, L.M. (Academic Press 1973)Google Scholar
Gyorffy, B.L. and Stocks, G.M., Phys. Rev. Lett., 50 374 (1983)Google Scholar
Gyorffy, B.L., Barbieri, A., Staunton, J.B., Shelton, W.A. and Stocks, G.M., Physica B172 35 (1991)CrossRefGoogle Scholar
Huang, K. Proc. Roy. Soc., 60 161 227 342 (1947)CrossRefGoogle Scholar
Hui, V.C. and Lambert, J. Phys. Condensed Matter, 2 7303 (1990)Google Scholar
Johnson, D.D., Nicholson, D.M., Pinski, F.J., Gyorffy, B.L. and Stocks, G.M., Phys. Rev. Lett., 56 2088 (1986)Google Scholar
Kambe, K., Z. Naturf., 23a 1280 (1968)Google Scholar
Kohn, W. and Rostoker, N., Phys. Rev., 94 1111 (1954)Google Scholar
Kohn, W. and Vashishta, P. (1983) in “Theory of the Inhomogeneous Electron Gas” Ed. Lunqvist, S. and March, N.H. (Academic Press, N.Y.)Google Scholar
Kohn, W., Gross, E.K.U. and Oliveira, L.N., J. Phys. France, 50 2601(1989)Google Scholar
Korringa, J., Physica XIII 392 (1947)CrossRefGoogle Scholar
Korringa, J., J. Phys. Chem. Solids, 7 252 (1958)Google Scholar
Kudrnovsky, J., Drchal, V., Sob, M., Christensen, N.E. and Anderson, O.K., Phys. Rev. B40 10029 (1989)CrossRefGoogle Scholar
Lax, M., Rev. Mod. Phys., 23 287 (1958)CrossRefGoogle Scholar
Lloyd, P. and Smith, P.V., Advances in Physics, 21 69 (1972)Google Scholar
Loucks, J.L.Augmented Plane Wave Method” (W.A. Bengamin, Inc.) (1967)Google Scholar
Molenaar, J. Phys., C21 1455 (1988)Google Scholar
Newton, R.G. (1966) “Scattering Theory of Waves and Particles” (McGraw-Hill, N.Y.)Google Scholar
Nozidres, P. and de Dominicis, C.T. Phys. Rev., 178 1097 (1969)Google Scholar
Nozidres, P. Low Temp. Phys., 17 31 (1974)CrossRefGoogle Scholar
Oliveira, L.N., Gross, E.K.U. and Kohn, W., Phys. Rev. Lett., 60 2430 (1988)Google Scholar
Pendry, J.B. (1971) “Low Energy Electron Diffraction” (London: Academic Press)Google Scholar
Ramana, M.V. and Rajagopal, A.K., J. Phys. C. : Solid State Physics, 12 L845 (1979) Adv. in Chem. Phys. 54 231 (1983)Google Scholar
Rose, M.E.Relativistic Electron Theory (Wiley, N.Y.) (1961)Google Scholar
Soven, P. Phys. Rev., 156 809 (1967)Google Scholar
Staunton, J.B., Gyorffy, B.L. and Weinberger, P., J. Phys. F: Metal Physics, 10 2665 (1980)CrossRefGoogle Scholar
Staunton, J.B., Strange, P., Gyorffy, B.L. Matsumoto, M., Poulter, J. Ebert, I-I. and Archibald, N.P., “The Effects of Relativity in Atoms, Molecules and Solids”, Ed. Wilson, S., Grant, I.P. and Gyorffy, B.L. (1991)Google Scholar
Stocks, G.M., Temmerman, W.M. and Gyorffy, B.L., Phys. Rev. Lett., 41 339 (1978)Google Scholar
Strange, P., Staunton, J.B. and Gyorffy, B.L., J. Phys. C : Solid State, 17 3355 (1984)Google Scholar
Suvasini, M.B. (1990) Ph.D. Thesis, University of Bristol and to be published 25Google Scholar
Suvasini, B.M. and Gyorffy, B.L., Physica C to be published Tanaka, Yukio, Tsukada and Masarce, Phys. Rev. B40 4482 (1989)Google Scholar
Weinberger, P.Electron Scattering Theory for Ordered and Disordered Matter” (Clarendon Press 1990)Google Scholar
Williams, A.R. and Morgan, J. van, W. J. Phys. C., 7 37 (1974)Google Scholar
Wilson, S., Grant, I.P. and Gyorffy, B.L., “The Effects of Relativity in Atoms, Molecules and the Solid State” (Plenum Press, N.Y. 1991)Google Scholar
Winter, H. and Stocks, G.M., Phys. Rev., B27 882 (1983)Google Scholar
Zeller, R. J. Phys., C20 2347 (1987)Google Scholar
Zhang, X.-G. and Gonis, A., Phys. Rev. Lett., 62 1161 (1989)Google Scholar
Zhang, X.-G., Gonis, A. and MacLaren, M.J. Phys. Rev., B40 3694 (1989)Google Scholar
Ziesche, P., J. Phys., C7 1085 (1974)Google Scholar