Orbital multicriticality in spin gapped quasi-1D antiferromagnets

Abstract

Motivated by the quasi-1D antiferromagnet CaV${}_2$O${}_4$, we explore spin-orbital systems in which the spin modes are gapped but orbitals are near a macroscopically degenerate classical transition. Within a simplified model we show that gapless orbital liquid phases possessing power-law correlations may occur without the strict condition of a continuous orbital symmetry. For the model proposed for CaV${}_2$O${}_4$, we find that an orbital phase with coexisting order parameters emerges from a multicritical point. The effective orbital model consists of zigzag-coupled transverse field Ising chains. The corresponding global phase diagram is constructed using field theory methods and analyzed near the multicritical point with the aid of an exact solution of a zigzag XXZ model.

9 pages

References in corpus (7)

• Structural, orbital, and magnetic order in vanadium spinels
• Magnetic transition and orbital degrees of freedom in vanadium spinels
• Spin and Orbital Order of the Vanadium Spinel MgV2O4
• Evidence for a floating phase of the transverse ANNNI model at high frustration
• Single Crystal Growth, Crystallography, Magnetic Susceptibility, Heat Capacity, and Thermal Expansion of the Antiferromagnetic S = 1 Chain Compound CaV2O4
• 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

Cited by in corpus (14)

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• Real-time dynamics in the one-dimensional Hubbard model
• Study of the phase diagram of the Kitaev-Hubbard chain
• Eigenstate entanglement scaling for critical interacting spin chains
• Orbital- and spin-driven lattice instabilities in quasi-one-dimensional CaV${}_2$O${}_4$
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Extension of the Adiabatic Theorem
• Phase diagram of an extended parafermion chain