On the origin of biquadratic exchange in spin 1 chains

Abstract

One dimensional spin 1 systems may have a rich phase diagram including Haldane gap and dimerized phases if the usually very small biquadratic exchange becomes significant. We show that this unlikely condition may be fulfilled in electron systems with quasi-degenerate orbitals. This mechanism may have been experimentally realized in the spin 1 chain LiVGe${}_2$O${}_6$. The implications for the exploration of the physics and quantum chemistry of spin 1 chains are discussed.

4 pages, 4 Postscript figures. To appear in Eur. Phys. J B as a Rapid Note

Cited by in corpus (36)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Higher-order exchange interactions in two-dimensional magnets
• Microscopic origin of Heisenberg and non-Heisenberg exchange interactions in ferromagnetic bcc Fe
• Quadrupolar Order in Isotropic Heisenberg Models with Biquadratic Interaction
• Giant Biquadratic Exchange in 2D Magnets and its Role in Stabilizing Ferromagnetism of NiCl2 Monolayer
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Self-consistent spin-wave theory for a frustrated Heisenberg model with biquadratic exchange in the columnar phase and its application to iron pnictides
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Frustrated classical Heisenberg and XY models in 2 dimensions with nearest neighbor exchange: exact solution for the ground state phase diagram
• Long-range antiferromagnetic order in the S=1 chain compound LiVGe2O6
• Orbital and magnetic ordering in single-layer FePS3: A DFT+U study
• Theory of inelastic light scattering in spin-1 systems: resonant regimes and detection of quadrupolar order
• Evidence for biquadratic exchange in the quasi-two-dimensional antiferromagnet FePS${}_3$
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• Spin dynamics of the bilinear-biquadratic $S=1$ Heisenberg model on the triangular lattice: a quantum Monte Carlo study
• Unusual UUDD magnetic chain structure of the spin-1/2 tetragonally distorted spinel GeCu2O4
• High Magnetic Field NMR Studies of LiVGe${}_2$O${}_6$, a quasi 1-D Spin $S=1$ System
• Spin and quadrupolar orders in the spin-1 bilinear-biquadratic model for iron-based superconductors
• Origin of Biquadratic Exchange Interactions in a Mott Insulator as a Driving Force of Spin Nematic Order
• Range of biquadratic and triquadratic Heisenberg effective couplings deduced from multiorbital Hubbard models
• The origin of up-up-down-down magnetic order in Cu${}_2$GeO${}_4$
• Ising-nematic order in the bilinear-biquadratic model for the iron pnictides
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Spin model for the Honeycomb $\mathrm{NiP}{\mathrm{S}}_3$
• Pronounced 2/3 magnetization plateau in a frustrated $S$ = 1 isolated spin-triangle compound: Interplay between Heisenberg and biquadratic exchange interactions
• Theory for spin and orbital orderings in high temperature phase in $YV{O}_3$
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Magnetocaloric effect in integrable spin-s chains
• Quantum liquid with strong orbital fluctuations: the case of a pyroxene family
• Unconventional Gross-Neveu quantum criticality: Interaction-induced SO(3)-biadjoint insulator and emergent SU(3) symmetry
• Orbital-controlled magnetic transition between gapful and gapless phases in the Haldane system with t2g-orbital degeneracy
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Possibility to detect the bound state of the Heisenberg ferromagnetic chain at intermediate temperature
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions