Mixed-Spin Ladders and Plaquette Spin Chains

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 σ model techniques we study the model with particularemphasis on the competition between gapful and gapless states.Our approach turns out to provide a more consistentsemi-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 showthat frustration causes little effect on its low-energy properties so far as the strength of frustration is weaker than a certain critical value.