Anisotropic frustrated Heisenberg model on the honeycomb lattice

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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10 pages, 9 figures, (supplemental material given as ancillary files)

Scientific paper

10.1103/PhysRevB.85.104505

We investigate the ground-state phase diagram of an anisotropic Heisenberg model on the honeycomb lattice with competing interactions. We use quantum Monte Carlo simulations, as well as linear spin-wave and Ising series expansions, to determine the phase boundaries of the ordered magnetic phases. We find a region without any classical order in the vicinity of a highly frustrated point. Higher-order correlation functions in this region give no signal for long-range valence-bond order. The low-energy spectrum is derived via exact diagonalization to check for topological order on small-size periodic lattices.

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