Abstract
Adapting the Kotliar-Ruckenstein slave boson approach to the Hubbard model with an additional local electronphonon interaction, we have studied the stability of the ground state against (π, π) and (π, 0) Peierls distortions on a square lattice. The theory is evaluated within an adiabatic two-sublattice saddle-point approximation restricted to symmetry broken states compatible with the underlying bipartite lattice, i.e. para-, ferro-, ferri- and antiferromagnetic states with and without static lattice displacement. At half-filling the Holstein coupling leads to a stable paramagnetic phase with an on-site frozen in breathing mode accompanied by a long-range charge density wave below a critical Hubbard interactionU. Away from half-filling, we distinguish between two possible phase diagrams of the Peierls-Hubbard model. One of them is obtained in the usual way of comparing the relative stability of several homogeneous phases, the other more complete one allows for heterogeneous mixing of phases. In this case we found phase separated regions with an without ‘dimerization’, homogeneous ‘dimerized’ para- and ferrimagnetic states, and the pure para-and ferromagnetic phases. Upon doping the local electron-phonon coupling can induce a magnetic ordered state.
Similar content being viewed by others
References
Bednorz, I.G., Müller, K.A.: Z. Phys. B — Condensed Matter64, 189 (1986)
Rice, T.M.: Phys. Scr. T29, 72 (1989); J. Less-Comm. Met.164–165, 1439 (1990)
Levin, K., Kim, J.H., Lu, J.P., Si, Q.: Physica C175, 449 (1991)
Kim, J.H., Levin, K., Wentzcovitch, R., Auerbach, A.: Phys. Rev. B44, 5148 (1991)
Manh, D.N., Mayon, D., Cyrot, M.: J. Phys. C3 9843 (1991)
Anderson, P.W.: Phys. Rev. Lett.64, 1839 (1990),65, 2306 (1990)
Varma, C.M., Littlewood, P.B., Schmitt-Rink, S., Abrahams, E., Ruckenstein, A.E.: Phys. Rev. Lett.63, 1996 (1989)
Mott, N.F.: Philos. Mag. Lett.64, 411 (1991)
Anderson, P.W.: Science235, 1196 (1987)
Holstein, T.: Ann. Phys. (N.Y.)8, 343 (1959)
Hirsch, J.E., Fradkin, E.: Phys. Rev. B27, 4302 (1983)
Prelovšek, P., Rice, T.M., Zhang, F.C.: J. Phys. G20, L229 (1987)
Prêtre, A., Rice, T.M.: J. Phys. G19, 1365 (1986)
Muramatsu, A., Hanke, W.: Physica C153, 229 (1988)
Marsiglio, F.: Phys. Rev. B42, 2416 (1990)
Levine, G., Su, W.P.: Phys. Rev.B42, 4143 (1990)
Sherman, A., Sabezynski, J., Schreiber, M.: Z. Phys. B — Condensed Matter84, 343 (1991); Bussmann-Holder, A., Simon, A., Büttner, H.: Phys. Rev B39, 207 (1989)
Zheng, H.: Phys. Rev. B41, 4723 (1990); Zheng, H., Feinberg, D., Avignon, M.: Phys. Rev.B41, 11557 (1990)
Nasu, K.: Phys. Rev. B44, 7625 (1991)
Das, A.N., Konior, J., Ray, D.K., Olés, A.M.: Phys. Rev. B44, 7680 (1991)
Suzuki, Y.Y., Pincus, P., Heeger, A.J.: Phys. Rev. B44, 7127 (1991)
Tsuda, N., Nasu, K., Yanase, A., Siratori, K.: In: Springer Series in Solid-State Sciences. Vol. 94. Berlin, Heidelberg, New York: Springer 1990
Chakraverty, B.: J. Phys. (Paris)42, 1351 (1981)
Alexandrov, A.S., Ranninger, J.: Phys. Rev. B23 (1981)
Alexandrov, A.S., Phys. Rev. B38, 925 (1988)
Chakraverty, B.K., Feinberg, D., Zheng, H., Avignon, M.: Solid State Commun.64, 1147 (1988)
Ranninger, J.: Z. Phys. B — Condensed Matter84 167 (1991)
Batistić, L., Gammel, J.T., Bishop, A.R.: Phys. Rev B44, 13228 (1991)
Trapper, U., Fehske, H., Deeg, M., Büttner, H.: Phys. Rev. B (submitted for publication)
Kotliar, G., Ruckenstein, A.E.: Phys. Rev. Lett.57, 1362 (1986)
Anisimov, V.I., Korotin, M.A., Zaanen, J., Anderson, O.K.: Phys. Rev. Lett.68, 345 (1992)
Zhang, F.C., Rice, T.M.: Phys. Rev. B37, 3759 (1988)
Fehske, H., Deeg, M., Büttner, H.: Phys. Rev. B46 (1992)
Barišić, S., Batistić, I., Friedel, J.: Europhys. Lett.3 1231 (1987)
Frésard, R., Wölfle, P.: Preprint
Barnes, S.E.: J. Phys. F6, 1375 (1976)
Coleman, P.: Phys. Rev. B35, 5072 (1987)
Arovas, D. P., Auerbach, A.: Phys. Rev. B38, 316 (1988)
Sarker, S., Jayaprakash, C., Krishnamurthy, H.R., Ma, M.: Phys. Rev B40, 5028 (1989)
Yoshioka, D.: J. Phys. Soc. Jpn.58, 1516 (1989)
Schmeltzer, D., Bishop, A.R.: Europhys. Lett.12, 369 (1990)
Gutzwiller, C.M.: Phys. Rev. Lett.10, 159 (1963)
Vollhardt, D.: Rev. Mod. Phys.56, 99 (1984)
Lavagna, M.: Phys. Rev. B41, 142 (1990)
Jolicoeur, Th., Guillon, J.C.: Phys. Rev. B44, 2403 (1991)
Li, T., Wölfle, P., Hirschfeld, P.J.: Phys. Rev. B40, 6817 (1989)
Wölfle, P., Li, T.: Z. Phys. B — Condensed Matter78, 45 (1990)
Rasul, J.W., Li, T.: J. Phys. G21, 5119 (1988)
Frésard, R., Dzierzawa, M., Wölfle, P.: Europhys. Lett.15, 325 (1991);
Frésard, R., Wölfle, P.: Preprint
Arrigoni, E., Strinati, G.C.: Phys. Rev. B44, 7455 (1991)
Negele, J.W., Orland, H.: Quantum many-particle systems. Reading, Mass: Addison-Wesley 1988
Deeg, M.: Diplomarbeit, Universität Bayreuth 1991
Lilly, L., Muramatsu, A., Hanke, W.: Phys. Rev. Lett.65, 1379 (1990); Lilly, L.: Thesis, Universität Würzburg 1991
Su, W.P., Schrieffer, J.R., Heeger, A.J.: Phys. Rev. Lett.42, 1698 (1979)
Tang, S., Hirsch, J.E.: Phys. Rev. B37, 9546 (1988)
Bishop, A.R., Guinea, F., Lomdahl, P.S., Louis, E., Vergés, J.A.: Europhys. Lett.14, 157 (1991)
Fehske, H., Lorenz, B.: J. Phys. G17, 5031 (1984)
Visscher, P.B.: Phys. Rev. B10, 943 (1974)
Emery, V.J., Kivelson, S.A., Lin, H.Q.: Phys. Rev. Lett.64, 475 (1990)
Moreo, A., Scalapino, D., Dagotto, E.: Phys. Rev. B43, 11442 (1991)
Fehske, H., Waas, V., Röder, H., Büttner, H.: Phys. Rev. B44 8473 (1991)
Fehske, H., Waas, V., Röder, H., Büttner, H.: Solid State Commun.76, 1333 (1990)
Putikka, W.O., Luchini, M.U., Rice, T.M.: Phys. Rev. Lett.68, 538 (1992)
Röder, H., Fehske, H., Waas, V., Büttner, H.: Phys. Rev. B45 (1992)
Uchinami, M.: Phys. Rev. B42, 10178 (1990)
Fazekas, P., Menge, B., Müller-Hartmann, E.: Z. Phys. B — Condensed Matter78, 69 (1990)
Brinkmann, W.F., Rice, T.M.: Phys. Rev. B2, 4302 (1970)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Deeg, M., Fehske, H. & Büttner, H. Slave boson mean field theory for the 2-D Peierls-Hubbard system. Z. Physik B - Condensed Matter 88, 283–294 (1992). https://doi.org/10.1007/BF01470915
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01470915