Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders

TL;DR

This paper investigates topological and dimer orders in frustrated spin ladder models, revealing how geometry influences the emergence of dimerized and fractionalized phases with deconfined spinons, using both analytic and numerical methods.

Contribution

It introduces a comprehensive analysis of topological and fractionalized phases in frustrated spin ladders, highlighting the role of geometry in phase emergence.

Findings

Identification of topological and dimer orders in spin ladders

Demonstration of fractionalized phases with deconfined spinons

Correlation between system geometry and phase occurrence

Abstract

We consider topological order and dimer order in several frustrated spin ladder models, which are related to higher dimensional models of current interest; we also address the occurrence of fractionalized phases with deconfined spinon excitations in these models. Combining results obtained with both analytic and numerical methods, we discuss how the occurrence of dimerized or fractionalized phases are dictated by the system's geometry.