Abstract
We review some of the current work on the atomic and electronic structure of reconstructed (111) surfaces of group IV semiconductors. The reasons and the possible mechanisms that lead to formation of superstructures are discussed. Charge and spin density waves that follow from the electronic instability of a model ideal surface are considered in some detail.
The closely analogous problem of superlattices in layered transition-metal dichalcogenides such as 1T-TaS2 is also briefly touched.
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Halperin, B. I. and Rice, T. M., Solid State Physics 21, 115 (1968).
Kohn, W., in: Many Body Physics, p. 353. C. Dewitt and R. Balian (eds.), Gordon and Breach (1968); Overhauser, A. W., Phys. Rev. 167, 692 (1968).
Overhauser, A. W., Phys. Rev. 128, 1437 (1962). Herring, C., in: Magnetism, Vol. 4 G. Rado and H. Suhl (eds.), Academic Press (1966).
Zeller, H. R., in: Festkörperprobleme XIII, (Advances in Solid State Physics), p. 31. H. J. Queisser (ed.), Pergamon-Vieweg (1974).
Gläser, W., in: Festkörperprobleme XIV, (Advances in Solid State Physics), p. 205, H. J. Queisser (ed.), Pergamon-Vieweg (1974).
Andersson, S., lecture notes, 1974 Winter College on Surface Science, IAEA-ICTP, Trieste (1974), (to be published).
See, e. g., Davison, S. G. and Levine, J. D., Solid State Physics 25, 1 (1970), and references therein.
Mönch, W., in: Festkörperprobleme XIII, (Advances in Solid State Physics) p. 241. H. J. Queisser (ed.), Pergamon-Vieweg (1973).
Müller, W. and Mönch, W., Phys. Rev. Letters 27, 250 (1971).
Henzler, M, Surface Sci. 24, 209 (1971).
Henzler, M., Surface Sci. 19, 159 (1970); 22, 12 (1970),; 36, 109 (1973).
Hagstrum, H. D. and Becker, G. E., Phys. Rev. B8, 1580 (1973); B8, 1592 (1973).
Fischer, T. E., J. Vac. Sci. Technol. 9, 860 (1972).
Eastman, D. E. and Grobman, W. D., Phys. Rev. Lett. 28, 1378 (1972).
Wagner, L. F. and Spicer, W. E., Phys. Rev. Lett. 28, 1381 (1972).
Erbudak, M. and Fischer, T. E., phys. Rev. Lett. 29, 732 (1972).
Rowe, J. E. and Ibach, H., Phys. Rev. Lett. 32, 421 (1974).
Rowe, J. E., Traum, M. M. and Smith, N. V., Phys. Rev. Lett. 33, 1333 (1974).
Chiarotti, G., Del Signore, G. and Nannarone, S., Phys. Rev. Lett. 21, 1170 (1968); Chiarotti, G., Nannarone, S., Pastore, R. and Chiaradia, P., Phys. Rev. B4, 3398 (1971).
Ibach, H., in: Fetskörperprobleme XI, (Advances in Solid State Physics), p. 135. H. J. Queisser (ed.), Pergamon-Vieweg (1971).
Ibach, H., in: Proceedings of the 12th International Conference on the Physics of Semiconductors, p. 655, M. Pilkuhn (ed.), Teubner, Stuttgart (1974).
Haneman, D., Phys. Rev. 170, 705 (1968).
Lander, J. J. and Morrison, J., J. Appl. Phys. 34, 1403 (1963).
Handler, P., J. Phys. Chem. Solids 14, 1 (1960).
Lander, J. J., Gobeli, G. W. and Morrison, J. Appl. Phys. 34, 2298h (1963).
Haneman, D., Phys. Rev. 121, 1093 (1961).
Haneman, D. and Heron, D. L., in: The Structure and Chemistry of Solid Surfaces, p. 24, G. A. Somorjai (ed.), Wiley, New York, (1969).
Feuchtwang, T. E., Phys. Rev. 155, 717 (1967).
Trullinger, S. E. and Cunningham, S. L., Phys. Rev. Lett. 30, 913 (1973).
Blandin, A., Castiel, D. and Dobrzynski, L., Sol. St. Comm. 13, 1175 (1973).
Forstmann, F., in: Festkörperprobleme XIII, (Advances in Solid State Physics), p. 275, H. J. Queisser (ed.), Pergamon-Vieweg (1973).
Pendry, J. B., Low Energy Electron Diffraction, Academic Press (1974).
Phillips, J. C., Surface Sci. 40, 459 (1973).
Van Bommel, A. J. and Meyer, F., Surface Sci. 8, 467 (1967).
Ibach, H. and Rowe, J. E., (to be published).
Ibach, H., (private communication).
Palmberg, P. W. and Peria, W. T., Surface Sci. 6, 57 (1967).
Ibach, H., Phys. Rev. Lett. 27, 253 (1971).
Chiarotti, G., Chiaradia, P., and Nannarone, S., (Surface Sci., to appear).
Froitzheim, H., Mönch, W., and Ibach, H., (to be published). Rowe, J. E., Ibach, H., and Froitzheim, H., Surface Sci. 48, 44 (1975); Henzler, M. and Heiland, G., Solid State Comm. 4, 499 (1966).
Henzler, M., Phys., Stat. Solidi 19, 833 (1967).
Heiland, G. and Lamatsch, H., Surface Sci. 2, 18 (1964).
Tosatti, E. and Anderson, P. W., Solid St. Comm. 14, 713 (1974); Proceedings of the 2nd International Conference on Solid Surfaces, Kyoto 1974, Japan. J. Appl. Phys. Suppl. 2, Pt. 2, 381 (1974).
Heine, V., Proc. Roy. Soc. A331, 307 (1972).
Dobrzynski, L. and Mills, D. L., Phys. Rev. B7, 2367 (1973).
Koutecký, J. and Tomašek, M., Phys. Rev. 120, 1212 (1960).
Tomašek, M., Surface Sci. 2, 8 (1964); Czech. J. Phys. B16, 828 (1966).
Pugh, D., Phys. Rev. Lett. 12, 390 (1964).
Hirabayashi, K., J. Phys. Soc. Japan 27, 1475 (1969).
Alstrup, I., Surface Sci. 20, 335 (1970).
Bortolani, V., Calandra, C. and Kelly, M. J., J. Phys. C6, L349 (1973).
Pandey, K. C. and Phillips, J. C., Phys. Rev. Lett. 32, 1433 (1974).
Chaves, C. M., Majlis, N. and Cardona, M., Sol. St. Comm. 4, 271 (1964).
Jones, R. O., Proc. Phys. Soc. 89, 443 (1968); J. Phys. C5, 1615 (1972).
Elices, M. and Yndurain, E., J. Phys. C5, L146 (1972).
Appelbaum, J. A. and Hamann, D. R., Phys. Rev. Lett. 31, 106 (1973); 32, 225 (1974).
Elices, M., Flores, F., Louis, E., and Rubio, J., (to be published).
Appelbaum, J. A. and Hamann, D. R., in: Proceedings of the 12th International Conference on the Physics of Semiconductors, p. 675, M. Pilkuhn (ed.), Stuttgart (1974).
In the following, all vectors are understood to be 2-dimensional, with zero z-component. Three-dimensional vectors are denoted (k, kz).
See, e. g., Allen, R. E., Alldredge, G. P. and de Wette, F. W., Phys. Rev. B4, 1661 (1971). For results specifically on valence semiconductors the reader is referred to the work of W. Ludwig (ref. 57). (to be published)
Ludwig, W., private communication, and to be published.
In our model (4.1) an exact fit is accidentally possible for 1.5 electrons/DB, when the FS is a hexagonn, and is fit by any 2n×2n distortion. In 1-dimensional systems, where E (k) depends only on one direction of k, the, fit is always perfect. Systems with flat parallel pieces of FS are effectively one-dimensional in this sense.
If one had t<0, that is if E (k) were a minimum at k=0, then v should be replaced by 2-v. Values larger than 1 become smaller than 1, and viceversa.
Schrieffer, J. R., Theory of Superconductivity, Benjamin (1966).
Stern, F., Phys. Rev. Lett. 18, 54 (1967).
Hubbard, J., Proc. Roy. Soc. (London) A243, 336 (1957).
Chan, S. K. and Heine, V., J. Phys. F3, 795 (1973). Agreement between the results of Sections 5 and 7, and those found in this paper is obtained by removing a factor 2 in front of their coulomb interaction uq.
Lee, P. A., Rice, T. M. and Anderson, P. W., Sol. St. Comm. 14, 703 (1974).
Fröhlich, H., Proc. Roy. Soc. London A223, 296 (1954).
Overhauser, A. W., Phys. Rev. B3, 3173 (1971).
Brüesch, P. and Zeller, H. R., Sol. St. Comm. 14, 1037 (1974).
Des Cloizeaux, J., J. Phys. Chem. Solids 26, 259 (1965).
Rice, T. M., Barker, A. S., Halperin, B. I. and McWhan, D. B., J. Appl. Phys. 40, 1337 (1969).
Barker, A. S. and Ditzenberger, J. A., Phys. Rev. B1, 4378 (1970).
Rice, M. J. and Strässler, S., Sol. St. Comm. 13, 125 (1972).
Allender, D., Bray, J. W. and Bardeen, J. Phys. Rev. B9, 119 (1974).
Selloni, A. and Tosatti, E., Sol. St. Comm. (to be published).
Bassani, F., and Pastori-Parravicini, G., Optical Properties of Solids, Pergamon Press (to be published).
Lomer, W. M., Proc. Phys. Soc. 80, 489 (1962).
Rice, T. M. and Halperin, B. I., Phys. Rev. B1, 509 (1970).
Wilson, J. A. and Yoffe, A. D., Adv. Phys. 18, 193 (1969).
Yoffe, A. D., in: Festkörperprobleme XIII, (Advances in Solid State Physics), p. 1. H. J. Queisser (ed.), Pergamon-Vieweg (1973).
Williams, P. M., Parry, G. S. and Scruby, C. B., Phil. Mag. 29, 695 (1974); Scruby, C. B., Williams, P. M., and Parry, G. S., Phil. Mag. 31, 255 (1975).
Shepherd, F. R., Williams, P. M., Young, D. A. and Scruby, C. B., in: Proceedings of the 12th International Conference on the Physics of Semiconductors, p. 1329, M. Pikuhn (ed.), Teubner, Stuttgart (1974). We are grateful to Dr. Williams for providing the diffraction pictures of Fig. 25.
Thompson, R. H., Gamble, F. R. and Revelli, J. F., Sol. St. Comm. 14, 497 (1974).
Wilson, J. A., Di Salvo, F. J., andMahajan, S., (to be published).
Williams, P. M., and Scruby, C. B., (private communication).
Mattheiss, L. F., Phys. Rev. B8, 3719 (1973).
An “experimental” determination of energy bands in 1T-TaS2 and 1T-Se2 has been performed by means of angle-resolved photoemission by Smith, N. V., Traum, M. M. and Di Salvo, F. J., (to be published).
Wilson, J. A., Di Salvo, F. J. and Mahajan, S., Phys. Rev. Lett. 32, 833 (1974).
Beal, A. R. and Liagn, W. Y., Phil. Mag. 27, 1397 (1973).
Grant, A. J., Griffiths, T. M., Pitt, G. D. and Yoffe, A. D., J. Phys. C7 L249 (1974); Proc. XII Int. Conf. on the Physics of Semiconductors, p. 592, M. Pilkuhn (ed.), Teubner, Stuttgart (1974).
Hughes, H. P. and Liang, W. Y., J. Phys. C7, L162 (1974).
Thompson, A. H., Phys. Rev. Lett. 24, 520 (1975).
See, e. g., Lee, P. A., Rice, T. M. and Anderson, P. W., Phys. Rev. Lett. 31, 462 (1973). for a treatment of the 1-dimensional case.
Florio, J. V. and Robertson, W. D., Surface Sci. 22, 459 (1970). *** DIRECT SUPPORT *** A00AX015 00005
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Tosatti, E. (1975). Electronic superstructures of semiconductor surfaces and of layered transition-metal compounds. In: Queisser, H.J. (eds) Festkörperprobleme 15. Advances in Solid State Physics, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107376
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DOI: https://doi.org/10.1007/BFb0107376
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