Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice

Simple item page
dc.creatorDomenge, Jean-Christophe
dc.creatorSindzingre, Philippe
dc.creatorLhuillier, Claire
dc.creatorPierre, Laurent
dc.date2005-02-17
dc.date2005-07-05
dc.date.accessioned2026-07-07T03:03:47Z
dc.date.available2026-07-07T03:03:47Z
dc.descriptionMotivated by recent experiments on an S=1/2 antiferromagnet on the kagome lattice, we investigate the Heisenberg J1-J2 model with ferromagnetic J1 and antiferromagnetic J2. Classically the ground state displays Neel long range order with 12 non-coplanar sublattices. The order parameter has the symmetry of a cuboctahedron so that it fully breaks SO(3) as well as the spin-flip symmetry, and we expect from the latter a Z2 symmetry breaking pattern. As might be expected from the Mermin-Wagner theorem in two dimensions, the SO(3) symmetry is restored by thermal fluctuations while the Z2 symmetry breaking persists up to a finite temperature. A complete study of S=1/2 exact spectra reveals that the classical order subsists for quantum spins in a finite range of parameters. First order spin wave calculations give the range of existence of this phase and the renormalisations at T=0 of the order parameters associated to both symmetry breakings. This phase is destroyed by quantum fluctuations for a small but finite J2/|J1|\simeq3 consistently with exact spectra studies which indicate a gapped phase.
dc.descriptionAccepted for publication in Phys. Rev. B (2005)
dc.identifierhttps://arxiv.org/abs/cond-mat/0502414
dc.identifierhttp://arxiv.org/abs/cond-mat/0502414
dc.identifierPhys. Rev. B 72, 024433 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.024433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25883
dc.subjectStrongly Correlated Electrons
dc.titleTwelve sublattice ordered phase in the J1-J2 model on the kagome lattice
dc.typetext

Files

Collections

arXiv