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Interplay between sublattice and spin symmetry breaking in graphene

2011/12/31 by D. Soriano, J. Fernández-Rossier · 41 citations
Materials Science · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Ferromagnetism #Graphene #Graphene research and applications #Magnetic moment #Materials science #Phase (matter) #Phase diagram #Physics #Quantum and electron transport phenomena #Quantum mechanics #Ribbon #Surface and Thin Film Phenomena #Zigzag #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.85.195433

published in Physical Review B 85(19) (American Physical Society) · 9 pages, 8 figures; Typos corrected and some bibliography items added

arxiv created 2012/01/17 · arxiv updated 2013/05/29

Abstract

We study the effect of sublattice symmetry breaking on the electronic, magnetic, and transport properties of two-dimensional graphene as well as zigzag terminated one- and zero-dimensional graphene nanostructures. The systems are described with the Hubbard model within the collinear mean field approximation. We prove that for the noninteracting bipartite lattice with an unequal number of atoms in each sublattice, in-gap states still exist in the presence of a staggered on-site potential \ifmmode±\else\textpm\fi\ensuremathΔ/2. We compute the phase diagram of both 2D and 1D graphene with zigzag edges, at half filling, defined by the normalized interaction strength U/t and \ensuremathΔ/t, where t is the first neighbor hopping. In the case of 2D we find that the system is always insulating, and we find the Uc(\ensuremathΔ) curve above which the system goes antiferromagnetic. In 1D we find that the system undergoes a phase transition from nonmagnetic insulator for U<Uc(\ensuremathΔ) to a phase with ferromagnetic edge order and antiferromagnetic interedge coupling. The conduction properties of the magnetic phase depend on \ensuremathΔ and can be insulating, conducting, and even half-metallic, yet the total magnetic moment in the system is zero. We compute the transport properties of a heterojunction with two magnetic graphene ribbon electrodes connected to a finite length armchair ribbon and we find a strong spin filter effect.

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