Magnetism in graphene nanoislands.

By J. Fernández-Rossier, J. Palacios. Physical Review Letters, 2007

609 citations recorded by the source corpus.

We study the magnetic properties of nanometer-sized graphene structures with triangular and hexagonal shapes terminated by zigzag 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 approximately 1.5 nm.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/0460181c700a78cdcdc71f270b8573ca8dc44f6f

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Synthesis and characterization of carbon nanowalls on different substrates by radio frequency plasma enhanced chemical vapor deposition (2014, neutral): “[9] where such magnetic behavior was attributed to the coexistence of antiferromagnetic interactions besides the ferromagnetic order.”
Controlled nanocutting of graphene (2008, background): “It has also been predicted that nanosized graphene pieces with zigzag edges having different shapes, such as triangular and hexagonal islands, should have unique magnetic properties [10, 11].”
Electronic properties of mesoscopic graphene structures: Charge confinement and control of spin and charge transport (2011, background): “, NZ = NA − NB ≠ 0, where NA(NB) is the number of carbon atoms of sublattice A(B), and this condition is sufficient in order to have NZ zero-energy states [124].”
Emergence of magnetism in graphene materials and nanostructures (2010, methodology): “It has been shown theoretically that above some critical size the system undergoes a transition into a broken-symmetry antiferromagnetic state (Fernández-Rossier and Palacios, 2007).”