SU(4) Spin-Orbital Two-Leg Ladder, Square and Triangle Lattices

Abstract

Based on the generalized valence bond picture, a Schwinger boson mean field theory is applied to the symmetric SU(4) spin-orbital systems. For a two-leg SU(4) ladder, the ground state is a spin-orbital liquid with a finite energy gap, in good agreement with recent numerical calculations. In two-dimensional square and triangle lattices, the SU(4) Schwinger bosons condense at (π/2,π/2) and (π/3,π/3), respectively. Spin, orbital, and coupled spin-orbital static susceptibilities become singular at the wave vectors, twice of which the bose condensation arises at. It is also demonstrated that there are spin, orbital, and coupled spin-orbital long-range orderings in the ground state.

5 pages

References in corpus (6)

• Orbital frustration at the origin of the magnetic behavior in LiNiO2
• Ordered valence bond states in symmetric two-dimensional spin-orbital systems
• Generalized Valence Bond State and Solvable Models for Spin-1/2 Systems with Orbital degeneracy
• Series study of the One-dimensional S-T Spin-Orbital Model
• Phase Diagram of the Spin-Orbital model on the Square Lattice
• Formation of energy gap in higher dimensional spin-orbital liquids

Cited by in corpus (6)

• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Two-dimensional gapless spin liquids in frustrated SU(N) quantum magnets
• Magnetic phases of spin-3/2 fermions on a spatially anisotropic square lattice
• Spin and orbital valence bond solids in a one-dimensional spin-orbital system: Schwinger boson mean field theory
• Contractor renormalization group theory of the SU($N$) chains and ladders