Energy dynamics in a generalized compass chain

TL;DR

This paper explores the energy dynamics and current operators in a generalized quantum compass chain, revealing how complex interactions influence the energy spectrum, phase diagram, and conservation laws within an exactly solvable spin model.

Contribution

It introduces a detailed analysis of energy currents and interactions in a generalized compass model, including effects of magnetic fields and Dzyaloshinskii-Moriya interactions, expanding understanding of its solvability and symmetries.

Findings

Energy current operators act on three sites without magnetic field.

Dzyaloshinskii-Moriya interactions are incorporated with inhomogeneous terms.

Energy current conservation is linked to intermediate symmetries in the pristine model.

Abstract

We investigate the energy dynamics in a generalized compass chain under an external magnetic field. We show that the energy current operators act on three contiguous sites in the absence of the magnetic field, and they are incorporated with inhomogenous Dzyaloshinskii-Moriya interactions in the presence of the magnetic field. These complex interactions remain the Hamiltonian be an exactly solvable spin model. We study the effects of the three-site interactions and the Dzyaloshinskii-Moriya interactions on the energy spectra and phase diagram. The results have revealed that the energy current of the pristine quantum compass model is conserved due to the associated intermediate symmetries, and for other general cases such characteristic does not exist.