Universality Classes of Diagonal Quantum Spin Ladders

TL;DR

This paper classifies diagonal quantum spin ladders into different phases based on an integer parameter, using advanced computational and theoretical methods, and relates findings to cuprate materials.

Contribution

It provides a comprehensive classification of diagonal spin ladders into ferrimagnetic, gapped, and critical phases using DMRG, sigma models, and bosonization.

Findings

Classification of ladders based on $N_p$

Identification of phases in cuprate planes

Application of multiple theoretical techniques

Abstract

We find the classification of diagonal spin ladders depending on a characteristic integer $N_p$ in terms of ferrimagnetic, gapped and critical phases. We use the finite algorithm DMRG, non-linear sigma model and bosonization techniques to prove our results. We find stoichiometric contents in cuprate $CuO_2$ planes that allow for the existence of weakly interacting diagonal ladders.