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

## TL;DR

This study models YbAlO$_3$ as coupled Heisenberg chains with Ising interactions, using DMRG to explain experimental magnetic and neutron scattering data, revealing field-induced incommensurate order and quantum criticality.

## Contribution

It introduces a detailed spin model for YbAlO$_3$ and demonstrates its effectiveness in reproducing experimental magnetic and neutron scattering results.

## Key findings

- Quantitative agreement with experimental magnetization curve
- Identification of phase transition at 0.35T
- Description of quantum critical behavior at 1.21T

## 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 $J_{\rm ic}=0.8$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.