2000/10/30 by D. J. J. Farnell, R. F. Bishop, K. A. Gernoth · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Combinatorics #Condensed matter physics #Conjecture #Ground state #Hexagonal lattice #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Topological Materials and Phenomena #Zero temperature #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.63.220402
published as Phys. Rev. B 63 (2001), 220402 (4pp)(R) [Rapid Communication] · 4 pages, 3 figures
arxiv created 2000/10/30 · openalex publication_date 2001/05/03 · openalex created_date 2016/06/24 · arxiv updated 2017/08/23 · openalex updated_date 2026/08/05
The coupled cluster method (CCM) is applied to a spin-half model at zero temperature which interpolates between a triangular lattice antiferromagnet (TAF) and a kagom'e lattice antiferromagnet (KAF). The strength of the bonds which connect kagom'e lattice sites is J, and the strength of the bonds which link the non-kagom'e lattice sites to the kagom'e lattice sites on an underlying triangular lattice is J^\ensuremath'. Our results are found to be highly converged, and our best estimate for the ground-state energy per spin for the spin-half KAF (J^\ensuremath'=0) is \ensuremath-0.4252J. The amount of classical ordering on the kagom'e lattice sites is also considered, and it is seen that this parameter goes to zero for values of J^\ensuremath' very close to the KAF point. Further evidence is also presented for CCM critical points which reinforce the conjecture that there is a phase near to the KAF point which is very different to that near to the TAF point (J=J^\ensuremath').