Model for frustrated spin-orbital chains: application to CaV2O4

Abstract

Motivated by recent interest in quasi-one-dimensional compound CaV2O4, we study the ground states of a spin-orbital chain characterized by an Ising-like orbital Hamiltonian and frustrated interactions between S=1 spins. The on-site spin-orbit interaction and Jahn-Teller effect compete with inter-site superexchange leading to a rich phase diagram in which an antiferro-orbital phase is separated from the orbital paramagnet by a continuous Ising transition. Two distinct spin liquids depending on the underlying orbital order are found in the limit of small spin-orbit coupling. In the opposite limit, the zigzag chain behaves as a spin-2 chain with Ising anisotropy. The implications for CaV2O4 are discussed.

5 pages, revised discussion of spin-liquid phases

References in corpus (10)

• Magnetic and orbital ordering in the spinel MnV2O4
• Structural, orbital, and magnetic order in vanadium spinels
• Orbital and spin chains in ZnV2O4
• Magnetic transition and orbital degrees of freedom in vanadium spinels
• The antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field
• Dimerization versus Orbital Moment Ordering in the Mott insulator YVO${}_3$
• Orbital order in vanadium spinels
• Single Crystal Growth, Crystallography, Magnetic Susceptibility, Heat Capacity, and Thermal Expansion of the Antiferromagnetic S = 1 Chain Compound CaV2O4
• Magnetic Structure and Interactions in the Quasi-1D Antiferromagnet CaV${}_2$O${}_4$
• ^{17}O and ^{51}V NMR for the zigzag spin-1 chain compound CaV2O4

Cited by in corpus (7)

• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Peierls Mechanism of the Metal-Insulator Transition in Ferromagnetic Hollandite K2Cr8O16
• Orbital multicriticality in spin gapped quasi-1D antiferromagnets
• Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model
• Orbital- and spin-driven lattice instabilities in quasi-one-dimensional CaV${}_2$O${}_4$
• Quantum criticality of vanadium chains with strong relativistic spin-orbit interaction
• Quantum phase transitions in a strongly entangled spin-orbital chain: A field-theoretical approach