Summary
In the three-band Hubbard model, the fully symmetric Cu-O clusters with a central Cu and appropriate hole numbers have many-body ground states in which holes are paired. Here we investigate the mechanism of pairing, focusing on clusters with ≤ 21 atoms and 4 holes. We show that spin-flip diagrams yield the effective interaction. The analysis agrees with the results of exact diagonalization and shows that singlet-triplet splitting measures the strength of the pairing interaction. Moreover, the quantization at half-integer values of a magnetic text flux is consistent with supercon-ducting pairing.
Similar content being viewed by others
References
Schrieffer J. R., Wen X. C. andZhang S. C.,Phys. Rev. Lett.,60 (1988) 944.
Montheux P., Balatsky A. V. andPines D.,Phys. Rev. Lett.,67 (1991) 3448.
Bickers N. E., Scalapino D. J. andWhite S. R.,Phys. Rev. Lett.,62 (1989) 961.
Dagotto E.,Rev. Mod. Phys.,66 (1994) 763.
Sushkov O. E.,Phys. Rev. B,54 (1996) 9988 and references therein.
Flambaum V. V., Kuchiev M. Yu. andSushkov O. E.,Physica C,235–240 (1994) 2218.
Cini M. andBalzarotti A.,Nuovo Cimento D,18 (1996) 89.
Cini M. andBalzarotti A.,J. Phys. Condens. Matter,8 (1996) L265.
Cini M. andBalzarotti A.,Solid State Commun.,101 (1997) 671.
Cini M., Balzarotti A., Gammel J. T. andBishop A. R.,Nuovo Cimente D,19 (1997) 1329;CINI M. andBALZAROTTI A.,Phys. Rev. B,56 (1997) 14711.
Hirsch J. E., Tang S., Loh E.jr. andScalapino D. J.,Phys. Rev. Lett.,60 (1988) 1668;Phys. Rev. B,39 (1989) 243.
Balseiro C. A., Rojo A. G., Gagliano E. R. andAlascio B.,Phys. Rev. B,38 (1988) 9315.
Ogata M. andShiba H.,J. Phys. Soc. Jpn.,57 (1988) 3074.
Martin R. L.,Phys. Rev. B,14 (1996) R9647.
We are using a symmetric gauge; for instance,Zhang F. C. andRice T. M.,Phys. Rev. B,37 (1988) 3759, use a different sign prescription fort andt oϰ, which corresponds to changing the sign of some orbitals; using their convention, the orbital symmetry labelsa 1 andb 1 get exchanged.
Mazumdar S.,Guo F.,Guo D.,Ung K. C. andGammel J. T.,Proceedings of the Discussion Meeting on Strongly Correlated Electron Systems in Chemistry, Bangalore, India (Springer-Verlag) 1996.
Mattuck R. D.,A Guide to Feynman Diagrams in the Many-Body Problem (Dover Publ., New York) 1992.
Canright G. S. andGirvin S. M.,Int. J. Mod. Phys. B,3 (1989) 1943.
Schrieffer J. R.,Theory of Superconductivity, inFrontiers in Physics (Addison-Wesley Fubl. Co.) 1983.
Byers N. andYang C. N.,Phys. Rev. Lett.,7 (1961) 46.
VAN Harlingen D. J.,Rev. Mod. Phys,67 (1995) 515 and references therein.
Author information
Authors and Affiliations
Additional information
In honour of Prof. Gianfranco Chiarotti on the occasion of his 70th birthday.
This work has been supported by the Istituto Nazionale di Fisica della Materia. We acknowledge A. R. Bishop, Los Alamos Laboratories, USA, and R. Del Sole and G. Onida, Università di Roma II “Tor Vergata”, for useful discussions.
Rights and permissions
About this article
Cite this article
Cini, M., Balzarotti, A. Hole pairing and flux quantization in modelCu-O clusters. Nouv Cim D 20, 1141–1146 (1998). https://doi.org/10.1007/BF03185523
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF03185523