Field-induced incommensurate ordering in the Heisenberg chains coupled by Ising interaction: Model for the ytterbium aluminum perovskite YbAlO${}_3$

Abstract

We study isotropic antiferromagnetic Heisenberg chains coupled by antiferromagnetic Ising interaction as an effective spin model for the ytterbium aluminum perovskite YbAlO${}_3$. Using the density-matrix renormalization group (DMRG) method we calculate the magnetization curve, local spin, central charge, and dynamical spin structure factors in the presence of magnetic field. From the fitting of the experimental magnetization curve, the effective intrachain and interchain couplings are estimated as $J=2.3$K and $J_{\mathrm{ic}}=0.8$K, respectively. We can quantitatively explain the experimental observations: (i) phase transition from antiferromagnetic to incommensurate order at field 0.35T, and (ii) quantum critical behaviors at the saturation field of 1.21T. Furthermore, the low-energy excitations in the experimental inelastic neutron scattering spectra can be well described by our DMRG results of the dynamical structure factors.

9 pages, 9 figures

References in corpus (5)

• Quantum criticality
• Quantum Criticality
• Tomonaga-Luttinger Liquid Behavior and Spinon Confinement in YbAlO${}_3$
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1

Cited by in corpus (6)

• Field-induced magnetic transition and spin fluctuation in quantum spin liquid candidate CsYbSe${}_2$
• Synthesis and Anisotropic Magnetism in Quantum Spin Liquid Candidates $A$YbSe${}_2$ ($A$ = K and Rb)
• Spin Density Wave versus Fractional Magnetization Plateau in a Triangular Antiferromagnet
• Low-energy spin dynamics in rare-earth perovskite oxides
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields