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

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 $e_0$, the sublattice magnetization $M_{\rm sub}$,thein-planespinstiffness$\rho_s$ and the in-plane magnetic susceptibility $\chi$ for spin quantum numbers $s=1\mathrm{/}2,1,\dots ,s_{\mathrm{m}\mathrm{a}\mathrm{x}}$, where $s_{\mathrm{m}\mathrm{a}\mathrm{x}}=9\mathrm{/}2$ for $e_0$ and $M_{\mathrm{s}\mathrm{u}\mathrm{b}}$, $s_{\mathrm{m}\mathrm{a}\mathrm{x}}=4$ for ${\rho }_s$ and $s_{\mathrm{m}\mathrm{a}\mathrm{x}}=3$ for $\chi$. We use the data for $s\ge 3\mathrm{/}2$ to estimate the leading quantum corrections to the classical values of $e_0$, $M_{\mathrm{s}\mathrm{u}\mathrm{b}}$, ${\rho }_s$, and $\chi$. 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 $s$.