# Spin-wave analysis for Kagome-triangular spin system and coupled spin tubes: low-energy excitation for the cuboc order

## TL;DR

This paper uses spin-wave theory to analyze low-energy excitations in Kagome-triangular spin systems and coupled spin tubes, revealing characteristic geometric phases and dynamical spin structure factors associated with the cuboc order.

## Contribution

It provides a detailed spin-wave analysis of the cuboc order in Kagome-triangular systems and coupled spin tubes, highlighting the emergence of geometric phases and excitation spectra.

## Key findings

- Identification of spin-wave excitations in Kagome-triangular systems.
- Analysis of dynamical spin structure factors for coupled spin tubes.
- Discovery of geometric phase effects in the spin-wave spectrum.

## Abstract

The coupled spin tube system, which is equivalent to a stacked Kagome-triangular spin system, exhibits the cuboc order -- a non-coplanar spin order with a twelve-sublattice structure accompanying spontaneous breaking of the translational symmetry -- in the Kagome-triangular plane. On the basis of the spin-wave theory, we analyze spin-wave excitations of the planar Kagome-triangular spin system, where the geometric phase characteristic to the cuboc spin structure emerges. We further investigate spin-wave excitations and dynamical spin structure factors for the coupled spin tubes, assuming the staggered cuboc order.