An investigation of the quantum J 1 - J 2 - J 3 model on the honeycomb lattice |
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| Authors: | J.B. Fouet P. Sindzingre C. Lhuillier |
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| Affiliation: | (1) Laboratoire de Physique Théorique et Modélisation, 5 mail Gay-Lussac Neuville sur Oise, 95031 Cergy-Pontoise, France, FR;(2) Laboratoire de Physique Théorique des Liquides, Université P. et M. Curie, case 121, 4 Place Jussieu, 75252 Paris Cedex, France, FR |
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| Abstract: | We have investigated the quantum J 1 - J 2 - J 3 model on the honeycomb lattice with exact diagonalizations and linear spin-wave calculations for selected values of J 2 / J 1 , J 3 / J 1 and antiferromagnetic (J 1 > 0) or ferromagnetic (J 1 < 0) nearest neighbor interactions. We found a variety of quantum effects: “order by disorder" selection of a Néel ordered ground-state, good candidates for non-classical ground-states with dimer long range order or spin-liquid like. The purely antiferromagnetic Heisenberg model is confirmed to be Néel ordered. Comparing these results with those observed on the square and triangular lattices, we enumerate some conjectures on the nature of the quantum phases in the isotropic models. Received 17 November 2000 and Received in final form 21 January 2001 |
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| Keywords: | PACS. 71.10.Fd Lattice fermion models (Hubbar model, etc.) – 75.10.Jm Quantized spin models – 75.40.-s Critical-point effects, specific heats, short-range order – 75.50.Ee Antiferromagnetics |
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