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

TL;DR

This paper investigates the ground-state properties of the triangular-lattice spin-$s$ Heisenberg antiferromagnet using advanced computational methods, providing insights into quantum corrections and magnetization behavior across various spin quantum numbers.

Contribution

It offers a comprehensive analysis of ground-state quantities for different spin values, including quantum corrections and magnetization features, using coupled cluster and exact diagonalization methods.

Findings

Quantum corrections to classical values are estimated for various spin states.

The study details the magnetization process and 1/3 plateau width for different spins.

Ground-state energies, sublattice magnetizations, and susceptibilities are computed for multiple spin quantum numbers.

Abstract

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 $M_{\rm sub}$, the in-plane spin stiffness $\rho_s$ and the in-plane magnetic susceptibility $\chi$ for spin quantum numbers $s=1/2, 1, \ldots, s_{\rm max}$, where $s_{\rm max}=9/2$ for $e_0$ and $M_{\rm sub}$, $s_{\rm max}=4$ for $\rho_s$ and $s_{\rm max}=3$ for $\chi$. We use the data for $s \ge 3/2$ to estimate the leading quantum corrections to the classical values of $e_0$, $M_{\rm sub}$, $\rho_s$, 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 $s$.