Two-Dimensionality of Magnetic Excitations on the Trellis Lattice: (La,Sr,Ca)$_{14}$Cu$_{24}$O$_{41}$ and SrCu$_2$O$_3$

TL;DR

This paper investigates magnetic excitations in the trellis lattice of certain copper oxides, using an effective model to predict dispersion relations and suggest experimental detection methods for frustrated inter-ladder magnetic exchange.

Contribution

It introduces a detailed theoretical analysis of magnetic excitations on the trellis lattice, highlighting signatures of frustration and proposing experimental detection strategies.

Findings

Calculated two-dimensional one-triplon dispersion

Identified signatures of frustrated inter-ladder exchange

Suggested inelastic neutron scattering experiments for detection

Abstract

We explore the properties of magnetic excitations on the trellis lattice which is relevant for the so-called telephone-number compounds A$_{14}$Cu$_{24}$O$_{41}$ and the system SrCu$_2$O$_3$. The trellis lattice consists of two-leg ladders which are coupled in a strongly frustrated fashion. We use the effective model obtained for a single two-leg spin ladder to calculate the two-dimensional one-triplon dispersion and the corresponding one-triplon contribution to the dynamical structure factor. Special attention is laid on signatures of the frustrating inter-ladder magnetic exchange. A detailed suggestion is made for an experimental detection of this exchange in inelastic neutron scattering experiments.