# Magnetization process in a frustrated plaquette dimerized ladder

## TL;DR

This paper investigates the magnetization process in a frustrated plaquette dimerized ladder, revealing complex plateau structures through combined numerical and analytical methods, including the emergence of intermediate magnetization plateaus.

## Contribution

It introduces a comprehensive analysis of the magnetization process in a frustrated plaquette dimerized ladder using novel combined techniques and effective models.

## Key findings

- Identification of intermediate magnetization plateaus at M=1/4 and 3/4.
- Rich plateau structure due to frustration and dimerization.
- Validation of effective models with DMRG simulations.

## Abstract

The magnetic phase diagram of a plaquette dimerized antiferromagnetic system is studied by using a combination of numerical and analytical techniques. For the strongly frustrated regime, series expansions and bond operators techniques are employed to analyze zero magnetization plateau, whereas low energy effective models are used to study the complete magnetization process. The interplay between frustration and dimerization gives rise to a rich plateaus structure that is captured by effective models and corroborated by numerical density matrix renormalization group simulations, in particular the emergence of intermediate plateaus at M = 1/4 and 3/4 of saturation in the magnetization curve.