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Phys. Rev. B 61, 6747–6756 (2000)

Phase diagram of a one-dimensional spin-orbital model

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Chigak Itoi
Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
Department of Physics, Nihon University, Kanda, Surugadai, Chiyoda, Tokyo, Japan

Shaojin Qin
Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
Institute of Theoretical Physics, CAS, Beijing 100080, People’s Republic of China

Ian Affleck
Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1;
Canadian Institute for Advanced Research, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1;
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030

Received 30 September 1999; published in the issue dated 1 March 2000

We study a one-dimensional spin-orbital model using both analytical and numerical methods. Renormalization group calculations are performed in the vicinity of a special integrable point in the phase diagram with SU(4) symmetry. These indicate the existence of a gapless phase in an extended region of the phase diagram, missed in previous studies. This phase is SU(4) invariant at low energies apart from the presence of different velocities for spin and orbital degrees of freedom. The phase transition into a gapped dimerized phase is in a generalized Kosterlitz-Thouless universality class. The phase diagram of this model is sketched using the density matrix renormalization group technique.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.61.6747
DOI:
10.1103/PhysRevB.61.6747
PACS:
75.10.Jm, 11.10.Hi, 11.25.Hf, 75.40.Mg
 
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