Mixed-Spin Ladders and Plaquette Spin Chains

TL;DR

This paper explores the low-energy behaviors of generalized mixed-spin ladder and plaquette spin chain models, revealing the effects of alternation, frustration, and competition between gapful and gapless states using non-linear sigma model techniques.

Contribution

It introduces a semi-classical approach to alternating spin chains that improves upon previous methods and analyzes the impact of frustration in plaquette spin chains.

Findings

Non-linear sigma model provides a consistent semi-classical description.

Frustration has minimal effect below a critical strength.

Competition between gapful and gapless states is characterized.

Abstract

We investigate low-energy properties of a generalized spin ladder model with both of the spin alternation and the bond alternation, which allows us to systematically study not only ladder systems but also alternating spin chains. By exploiting non-linear $\sigma$ model techniques we study the model with particular emphasis on the competition between gapful and gapless states. Our approach turns out to provide a more consistent semi-classical description of alternating spin chains than that in the previous work. We also study a closely related model, i.e., a spin chain with plaquette structure, and show that frustration causes little effect on its low-energy properties so far as the strength of frustration is weaker than a certain critical value.