Magnetic impurity in the vicinity of a vacancy in bilayer graphene

TL;DR

This study uses quantum Monte Carlo simulations to explore how vacancies in bilayer graphene influence the magnetic properties of nearby impurities, revealing sublattice-dependent effects on local magnetic moments.

Contribution

It introduces a detailed analysis of vacancy-induced localized states and their impact on magnetic impurities in bilayer graphene with Bernal stacking.

Findings

Magnetic properties depend on whether vacancy is on sublattice A or B.

Local moments are suppressed more when vacancy is on sublattice A near μ ≈ 0.

Chemical potential variations affect thermodynamic quantities and correlations.

Abstract

We use quantum Monte Carlo method to study a magnetic impurity located next to a vacancy in bilayer graphene with Bernal stacking. Due to the broken symmetry between two sublattices in bilayer system, there exist two different types of vacancy induced localized state. We find that the magnetic property of the adatom located on the adjacent site of the vacancy depends on whether the vacancy belongs to A or B sublattice. In general, local moment is more strongly suppressed if the vacancy belongs to the sublattice A when $\mu \sim 0$. We switch the values of the chemical potential and study the basic thermodynamic quantities and the correlation functions between the magnetic adatom and the carbon sites.