Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders

TL;DR

This paper analyzes Bethe Ansatz solvable spin-S ladders, revealing magnetization plateaux consistent with theoretical predictions and experimental observations, especially highlighting an extended plateau at half magnetization in spin-1 ladders.

Contribution

It provides an exact analysis of magnetization plateaux in Bethe Ansatz solvable spin-S ladders, including detailed phase diagrams and experimental relevance.

Findings

Magnetization plateaux match Lieb-Schultz-Mattis predictions.

Extended plateau at half magnetization in spin-1 ladder.

Agreement with experimental data for BIP-TENO.

Abstract

We examine the properties of the Bethe Ansatz solvable two- and three-leg spin-$S$ ladders. These models include Heisenberg rung interactions of arbitrary strength and thus capture the physics of the spin-$S$ Heisenberg ladders for strong rung coupling. The discrete values derived for the magnetization plateaux are seen to fit with the general prediction based on the Lieb-Schultz- Mattis theorem. We examine the magnetic phase diagram of the spin-1 ladder in detail and find an extended magnetization plateau at the fractional value $<M > = {1/2}$ in agreement with the experimental observation for the spin-1 ladder compound BIP-TENO.