Magnetism in graphene nano-islands

Abstract

We study the magnetic properties of nanometer-sized graphene structures with triangular and hexagonal shapes terminated by zig-zag edges. We discuss how the shape of the island, the imbalance in the number of atoms belonging to the two graphene sublattices, the existence of zero-energy states, and the total and local magnetic moment are intimately related. We consider electronic interactions both in a mean-field approximation of the one-orbital Hubbard model and with density functional calculations. Both descriptions yield values for the ground state total spin, $S$, consistent with Lieb's theorem for bipartite lattices. Triangles have a finite $S$ for all sizes whereas hexagons have S=0 and develop local moments above a critical size of $\approx 1.5$ nm.

Published version

References in corpus (20)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Room-Temperature Quantum Hall Effect in Graphene
• Electronic States of Graphene Nanoribbons
• Spin qubits in graphene quantum dots
• Peculiar Width Dependence of the Electronic Property of Carbon Nanoribbons
• Enhanced Half-Metallicity in Edge-Oxidized Zigzag Graphene Nanoribbons
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Local defects and ferromagnetism in graphene layers
• Diluted Graphene Antiferromagnet
• Coherent transport in graphene nanoconstrictions
• Phase diagram and magnetic collective excitations of the Hubbard model in graphene sheets and layers
• Ferromagnetism mediated by few electrons in a semimagnetic quantum dot
• Single Electron Transport in electrically tunable nanomagnets
• Nonmagnetic-Defect-Induced Magnetism in Graphene
• Self Assembled II-VI Magnetic Quantum Dot as a Voltage-Controlled Spin-Filter

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