https://doi.org/10.1007/s100510170273
An investigation of the quantum J1-J2-J3 model on the honeycomb lattice
1
Laboratoire de Physique Théorique et Modélisation, 5 mail Gay-Lussac Neuville sur Oise, 95031 Cergy-Pontoise, France
2
Laboratoire de Physique Théorique des Liquides (UMR 7600 of CNRS) , Université P. et M. Curie, case 121,
4 Place Jussieu, 75252 Paris Cedex, France
Corresponding author: a phsi@lptl.jussieu.fr
Received:
17
November
2000
Revised:
21
January
2001
Published online: 15 March 2001
We have investigated the quantum
model on the honeycomb lattice
with exact diagonalizations and linear spin-wave calculations
for selected values of 
, 
and antiferromagnetic (
) or ferromagnetic (
)
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
