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Phys. Rev. B 69, 155109 (2004) [10 pages]

Effect of Hund coupling in the one-dimensional SU(4) Hubbard model

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Hyun C. Lee1,2, Patrick Azaria3,4, and Edouard Boulat3,5
1Department of Physics and Basic Science Research Institute, Sogang University, Seoul 121-742, Korea
2BK21 Physics Research Division and Institute of Basic Science, Department of Physics, Sung Kyun Kwan University, Suwon 440-746, Korea
3Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris, France
4CNRS-Centre National de la Recherche Scientifique, 3, rue Michael-Ange, 75016 Paris, France
5Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855, USA

Received 19 February 2003; revised 29 September 2003; published 15 April 2004

The one-dimensional SU(4) Hubbard model perturbed by Hund coupling is studied, away from half-filling, by means of renormalization-group and bosonization methods. A spectral gap is always present in the spin-orbital sector irrespective of the magnitude of the Coulomb repulsion. We further distinguish between two qualitatively different regimes. At small Hund coupling, we find that the symmetry of the system is dynamically enlarged to SU(4) at low energy with the result of coherent spin-orbital excitations. When the charge sector is not gapped, a superconducting instability is shown to exist. At large Hund coupling, the symmetry is no longer enlarged to SU(4) and the excitations in the spin sector become incoherent. Furthermore, the superconductivity can be suppressed in favor of the conventional charge density wave state.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.155109
DOI:
10.1103/PhysRevB.69.155109
PACS:
71.10.Hf, 75.10.Jm, 78.67.Lt