Phase Diagram of the Spin-Orbital model on the Square Lattice

Details Phase Diagram of the Spin-Orbital model on the Square Lattice Phase Diagram of the Spin-Orbital model on the Square Lattice

2001-05-09

arxiv.org/abs/cond-mat/0105178v1

Physics

Condensed Matter

8 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevB.64.184431

We study the phase diagram of the spin-orbital model in both the weak and strong limits of the quartic spin-orbital exchange interaction. This allows us to study quantum phase transitions in the model and to approach from both sides the most interesting intermediate-coupling regime and in particular the SU(4)-symmetric point of the Hamiltonian. It was suggested earlier by Li et al [Phys.Rev.Lett. vol. 81, 3527 (1999)] that at this point the ground state of the system is a plaquette spin-orbital liquid. We argue that the state is more complex. There is plaquette order, but it is anisotropic: bonds in one direction are stronger than those in the perpendicular direction. This order is somewhat similar to that found recently in the frustrated J_1-J_2 Heisenberg spin model.

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