Quantum transport reveals spin glass correlations in a 2D network of TbPc$_{2}$ single-molecule magnets grafted on graphene
Nianjheng Wu, Jules Lefeuvre, Andrew Mayne, St\'ephane Campidelli, J\'er\^ome Lagoute, Cyril Chacon, Sophie Gu\'eron, Richard Deblock, and H\'el\`ene Bouchiat

TL;DR
This study demonstrates that magnetic molecules on graphene induce 2D spin-glass correlations, revealed through magnetoresistance noise and conductance fluctuations, highlighting graphene's potential for exploring magnetic phase transitions.
Contribution
It provides experimental evidence of spin-glass correlations in graphene functionalized with magnetic molecules, a novel platform for studying 2D magnetic phase transitions.
Findings
Magnetoresistance exhibits magnetic field-dependent 1/f noise and universal conductance fluctuations.
Long-range 2D Ising spin-glass like correlations are induced in graphene.
Graphene with organic molecules can serve as a platform for magnetic phase transition studies.
Abstract
The low temperature magnetoresistance of graphene functionalized by an array of magnetic Terbium Phthalocyanines molecules is found to exhibit a magnetic field-dependent 1/f noise, along with universal conductance fluctuations (UCFs) typical of a mesoscopic phase-coherent sample. A thorough analysis of the magnetic field, temperature and chemical potential dependence of this 1/f noise and UCFs reveals that long range, 2D Ising spin-glass like, magnetic correlations are induced in graphene through exchange interactions between the magnetic molecules and charge carriers in graphene. These experiments show that graphene functionalized with organic molecules constitutes a versatile platform for the investigation of magnetic phase transitions in two dimensions.
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