Nonlinear sigma model of a spin ladder containing a static single hole

TL;DR

This paper extends the nonlinear sigma model to describe spin ladders with a static hole, providing a new theoretical framework for understanding impurity effects in such quantum systems.

Contribution

The paper introduces a modified nonlinear sigma model that accounts for a static hole in spin ladders, advancing the theoretical description of impurity effects.

Findings

Application to classical ladders demonstrated

Provides a basis for studying impurity effects in quantum ladders

Extends existing models to include static holes

Abstract

In this letter we extend the nonlinear sigma model describing pure spin ladders with an arbitrary number of legs to the case of ladders containing a single static hole. A simple immediate application of this approach to classical ladders is worked out.