Large-$s$ expansions for the low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet with spin quantum number $s$

TL;DR

This paper uses high-order coupled cluster calculations to determine low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet for various spin values, providing insights into quantum corrections to classical behavior.

Contribution

It provides the first high-precision large-$s$ expansions for key low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet.

Findings

Calculated ground-state parameters for $s$ from 1/2 to 9/2.

Derived quantum corrections to classical large-$s$ limits.

Provided data for effective magnon field theory descriptions.

Abstract

The coupled cluster method (CCM) is employed to very high orders of approximation to study the ground-state (GS) properties of the spin-$s$ Heisenberg antiferromagnet (with isotropic interactions, all of equal strength, between nearest-neighbour pairs only) on the honeycomb lattice. We calculate with high accuracy the complete set of GS parameters that fully describes the low-energy behaviour of the system, in terms of an effective magnon field theory, viz., the energy per spin, the magnetic order parameter (i.e., the sublattie magnetization), the spin stiffness and the zero-field (uniform, transverse) magnetic susceptibility, for all values of the spin quantum number $s$ in the range $\frac{1}{2} \leq s \leq \frac{9}{2}$. The CCM data points are used to calculate the leading quantum corrections to the classical ($s \rightarrow \infty$) values of these low-energy parameters, considered as large-$s$ asymptotic expansions.