Theoretical Study of Terahertz Absorption Spectra and Neutron Inelastic Scattering in Frustrated Magnet $\text{Tb}_2\text{Ti}_2\text{O}_7$

TL;DR

This paper provides a theoretical analysis of terahertz absorption and neutron scattering spectra in Tb2Ti2O7, focusing on magnetic dipole transitions affected by lattice defects.

Contribution

It introduces a single-particle approximation model to calculate spectral line envelopes considering crystal lattice imperfections.

Findings

Spectral line envelopes were successfully calculated within the model.

Lattice defects influence the splitting of spectral lines.

The approach helps understand magnetic excitations in frustrated magnets.

Abstract

Within the framework of the single-particle approximation, the envelopes of the spectral lines of terahertz absorption and inelastic neutron scattering corresponding to magnetic dipole transitions between the sublevels of Tb$^{3+}$ ions in the Tb$_2$Ti$_2$O$_7$ crystal, split by the field of random deformations induced by point defects of the crystal lattice upon violation of the stoichiometric composition of the crystal, were calculated.