Quantum Phase Transitions in the One-Dimensional S=1 Spin-Orbital Model: Implications for Cubic Vanadates

Abstract

We investigate ground-state properties and quantum phase transitions in the one-dimensional S=1 spin-orbital model relevant to cubic vanadates. Using the density matrix renormalization group, we compute the ground-state energy, the magnetization and the correlation functions for different values of the Hund's coupling $J_H$ and the external magnetic field. It is found that the magnetization jumps at a certain critical field, which is a hallmark of the field-induced first-order phase transition. The phase transition driven by $J_H$ is also of first order. We also consider how the lattice-induced ferro-type interaction between orbitals modifies the phase diagram, and discuss the results in a context of the first-order phase transition observed in YVO${}_3$ at 77K.

7 pages, 7 figure

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Cited by in corpus (7)

• Fingerprints of spin-orbital physics in cubic Mott insulators: Magnetic exchange interactions and optical spectral weights
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Neutron diffraction study of YVO3, NdVO3, and TbVO3
• One-dimensional orbital fluctuations and the exotic magnetic properties of YVO${}_3$
• Collective orbital excitations in orbitally ordered YVO3 and HoVO3
• Spin-orbital entanglement near quantum phase transitions
• One-Dimensional S=1 Spin-Orbital Model with Uniaxial Single-Ion Anisotropy