Abstract
The structure of one-dimensional systems with a half-filled band is discussed. In addition to lattice coordinates several intramonomer coordinates are considered. It is found that the system distorts and dimerizes (Peierls distortion). The distortions can be caused by lattice coordinates, by intramonomer coordinates or by both types of coordinates simultaneously. Thereby the various intramonomer degrees of freedom act cooperatively. The interplay between the intramonomer and lattice coordinates may induce new types of phase transitions with critical temperatures below the usual Peierls transition. Depending on the values of the effective matrix elements up to two of these new transitions may occur for a given system. The impact of these additional phase transitions on the specific heat, energy gap and lattice structure is discussed.
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Su, W.P., Schrieffer, J.R., Heeger, A.J.: Phys. Rev. B22, 2099 (1980); Phys. Rev. Lett.42, 1698 (1979)
Andretta, M., Zanarini, G., Pendergast, K.: In: Dynamical processes in condensed matter. Evans, M.W., (ed.). New York: J. Wiley & Sons 1985
Rice, M.J.: Phys. Lett. A71, 152 (1979)
Takayama, M., Lin-Liu, Y., Maki, K.: Phys. Rev. B21, 2388 (1980)
Su, W.P.: Solid State Commun.48, 479 (1983);
Shastry, B.S., Su, W.P.: Phys. Rev. B31, 3712 (1985)
Kivelson, S.: Phys. Rev. B28, 2653 (1983)
Fischer, F., Köppel, H., Cederbaum, L.S.: Il Nuovo Cimento9d, 571 (1987);
Köppel, H., Domcke, W., Cederbaum, L.S.: Adv. Chem. Phys.57, 59 (1984);
Fischer, F., Köppel, H., Cederbaum, L.S.: Phys. Rev. B37, 9477 (1988)
Rice, M.J., Duke, C.B., Lipari, N.O.: Solid State Commun.17, 1089 (1975)
Horovitz, B.: Phys. Rev. B22, 1101 (1980)
Peierls, R.E.: Quantum theory of solids. p. 108. London: Clarendon 1955
Kennedy, T., Lieb, E.H.: Phys. Rev. Lett.59, 1309 (1987)
Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series, and products. p. 905. New York: Academic Press 1980
Krogmann, K.: Angew. Chem.81, 10 (1969)
Siebert, W.: Angew. Chem.97, 924 (1985); Int. Ed. Engl.24, 943 (1985)
Kittel, C.: Quantum theory of solids. Chap. 8. New York: Wiley & Sons 1963
Tinkham, N.: Introduction to superconductivity. p. 34. New York: McGraw-Hill 1975
Horovitz, B., Gutfreund, H., Weger, M.: Phys. Rev. B12, 3174 (1975)
Wu, C., Sun, X.: Phys. Rev. Lett.59, 831 (1987);
Kivelson, S., Su, W.P., Schrieffer, J.R., Heeger, A.J.: Phys. Rev. Lett.58, 1899 (1987);
Tinka Gammel, J., Campbell, D.K.: Phys. Rev. Lett.60, 71 (1987);
Baeriswyl, D., Horsch, P., Maki, K.: Phys. Rev. Lett.60, 70 (1987);
Baeriswyl, D., Bishop, A.R.: Phys. Scr. T19, 239 (1987)
Miller, J.S., Epstein, A.J.: Angew. Chem.99, 332 (1987)
Schimmel, Th., Rieß, W., Denninger, G., Schwoerer, M.: Ber. Bunsenges. Phys. Chem.91, 901 (1987)
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Fischer, F., Köppel, H. & Cederbaum, L.S. Influence of internal degrees of freedom on the structure of one-dimensional systems. Z. Physik B - Condensed Matter 74, 513–525 (1989). https://doi.org/10.1007/BF01311398
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DOI: https://doi.org/10.1007/BF01311398