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Spin-gap study of the spin-$frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice | | R. F. Bishop
; P. H. Y. Li
; | | Date: |
3 Aug 2015 | | Abstract: | We use the coupled cluster method implemented at high orders of approximation
to study the spin-$frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular
lattice with Heisenberg interactions between nearest-neighbour and
next-nearest-neighbour pairs of spins, with coupling strengths $J_{1}>0$ and
$J_{2} equiv kappa J_{1} >0$, respectively. In the window $0 leq kappa leq
1$ we find that the 3-sublattice 120$^{circ}$ N’{e}el-ordered and
2-sublattice 180$^{circ}$ stripe-ordered antiferromagnetic states form the
stable ground-state phases in the regions $kappa < kappa^{c}_{1} = 0.060(10)$
and $kappa > kappa^{c}_{2} = 0.165(5)$, respectively. The spin-triplet gap is
found to vanish over essentially the entire region $kappa^{c}_{1} < kappa <
kappa^{c}_{2}$ of the intermediate phase. | | Source: | arXiv, 1508.0414 | | Services: | Forum | Review | PDF | Favorites | |
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