Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet

Details Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet

2011-05-12

arxiv.org/abs/1105.2469v2

Physical Review Letters 107, 076405 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4+ pages, 4 figures; published version

Scientific paper

10.1103/PhysRevLett.107.076405

Using a hybrid method based on fermionic diagonalization and classical Monte Carlo, we investigate the interplay between itinerant and localized spins, with competing double- and super-exchange interactions, on a honeycomb lattice. For moderate superexchange, a geometrically frustrated triangular lattice of hexagons forms spontaneously. For slightly larger superexchange a dimerized groundstate is stable that has macroscopic degeneracy. The presence of these states on a non-frustrated honeycomb lattice highlights a novel phenomenon in this itinerant electron system: emergent geometrical frustration and degeneracy.

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