Spin and orbital valence bond solids in a one-dimensional spin-orbital system: Schwinger boson mean field theory

Abstract

A generalized one-dimensional $SU(2)\times SU(2)$ spin-orbital model is studied by Schwinger boson mean-field theory (SBMFT). We explore mainly the dimer phases and clarify how to capture properly the low temperature properties of such a system by SBMFT. The phase diagrams are exemplified. The three dimer phases, orbital valence bond solid (OVB) state, spin valence bond solid (SVB) state and spin-orbital valence bond solid (SOVB) state, are found to be favored in respectively proper parameter regions, and they can be characterized by the static spin and pseudospin susceptibilities calculated in SBMFT scheme. The result reveals that the spin-orbit coupling of $SU(2)\times SU(2)$ type serves as both the spin-Peierls and orbital-Peierles mechanisms that responsible for the spin-singlet and orbital-singlet formations respectively.

6 pages, 3 figures

References in corpus (3)

• Orbitally-driven Peierls state in spinels
• Entropy Driven Dimerization in a One-Dimensional Spin-Orbital Model
• Two-dimensional gapless spin liquids in frustrated SU(N) quantum magnets

Cited by in corpus (5)

• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model
• Entanglement Driven Phase Transitions in Spin-Orbital Models