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Updated: May 29, 2026

A Paired Bead and Magnet Array for Molding Microwells with Variable Concave Geometries
Published on: January 28, 2018
Macroscopic degeneracy and emergent frustration in a honeycomb lattice magnet
Jörn W F Venderbos1, Maria Daghofer, Jeroen van den Brink
1IFW Dresden, Germany. j.venderbos@ifw-dresden.de
Abstract:
Using a hybrid method based on fermionic diagonalization and classical Monte Carlo techniques, we investigate the interplay between itinerant and localized spins, with competing double- and superexchange interactions, on a honeycomb lattice. For moderate superexchange, a geometrically frustrated triangular lattice of hexagons forms spontaneously. For slightly larger superexchange a dimerized ground state is stable that has macroscopic degeneracy. The presence of these states on a nonfrustrated honeycomb lattice highlights novel phenomena in this itinerant electron system: emergent geometrical frustration and degeneracy related to a symmetry intermediate between local and global.
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