Supplementary material for "Impurity-induced magnetic order in low dimensional spin gapped materials"

TL;DR

This paper presents detailed quantum Monte Carlo simulations to explore how impurities induce magnetic order in low-dimensional spin gapped materials, specifically in doped ladder systems resembling Bi(Cu$_{1-x}$Zn$_x$)$_2$ZnPO$_6$.

Contribution

It provides new insights into the impurity-induced freezing mechanism in three-dimensional weakly coupled ladder systems through large-scale simulations.

Findings

Impurity doping leads to magnetic freezing in low-dimensional spin systems.

Quantum Monte Carlo simulations reveal the microscopic mechanism of impurity-induced order.

Results are relevant for understanding magnetic behavior in doped quantum materials.

Abstract

In this supplementary material, we investigate further the impurity-induced freezing mechanism in a doped system of 3D weakly coupled ladders resembling Bi(Cu$_{1-x}$Zn$_x$)$_2$ZnPO$_6$ using large scale Quantum Monte Carlo simulations.