Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice

Details Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice

2007-04-18

arxiv.org/abs/0704.2234v3

Phys. Rev. Lett. vol. 99, 206404 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages; cosmetic changes; published version

Scientific paper

10.1103/PhysRevLett.99.206404

The core of the vortex in the Neel order parameter for an easy-plane antiferromagnet on honeycomb lattice is demonstrated to bind two zero-energy states. Remarkably, a single electron occupying this mid-gap band has its spin fragmented between the two sublattices: Whereas it yields a vanishing total magnetization it shows a finite Neel order, orthogonal to the one of the assumed background. The requisite easy-plane anisotropy may be introduced by a magnetic field parallel to the graphene layer, for example. The results are relevant for spin-1/2 fermions on graphene's or optical honeycomb lattice, in the strongly interacting regime.

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