Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number s

• The triangular-lattice spin-s Heisenberg antiferromagnet is treated using the CCM.
• The fundamental ground-state quantities are calculated.
• Spin quantum numbers s=1/2 to s=4 are considered.
• Leading quantum corrections to the classical values of GS quantities are found.
• The magnetization curves are studied as a function of spin quantum number.

We apply the coupled cluster method to high orders of approximation and exact diagonalizations to study the ground-state properties of the triangular-lattice spin-s Heisenberg antiferromagnet. We calculate the fundamental ground-state quantities, namely, the energy e0, the sublattice magnetization MsubMsub, the in-plane spin stiffness ρs and the in-plane magnetic susceptibility χ   for spin quantum numbers s=1/2,1,…,smaxs=1/2,1,…,smax, where smax=9/2smax=9/2 for e0 and MsubMsub, smax=4smax=4 for ρs and smax=3smax=3 for χ  . We use the data for s≥3/2s≥3/2 to estimate the leading quantum corrections to the classical values of e0, MsubMsub, ρs, and χ. In addition, we study the magnetization process, the width of the 1/3 plateau as well as the sublattice magnetizations in the plateau state as a function of the spin quantum number s.