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

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

23 pages, 9 figures, 4 tables

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Cited by in corpus (20)

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• Ground-State Ordering of the $J_1$--$J_2$ Model on the Simple Cubic and Body-Centered Cubic Lattices
• Magnetization of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
• Ground-state phases of the spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet on the honeycomb lattice
• Continuous control of classical-quantum crossover by external high pressure in the coupled chain compound CsCuCl${}_3$
• Umbrella-coplanar transition in the triangular XXZ model with arbitrary spin
• Magnetization process of spin-1/2 Heisenberg antiferromagnets on a layered triangular lattice
• The Spin-Half {\it XXZ} Antiferromagnet on the Square Lattice Revisited: A High-Order Coupled Cluster Treatment
• Magnons and Spinons in ${\mathrm{Ba}}_2{\mathrm{CoTeO}}_6$: A Composite System of Isolated Spin-$1/2$ Triangular Heisenberg-like and Frustrated Honeycomb Ising-like Antiferromagnets
• Large-$s$ expansions for the low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet with spin quantum number $s$
• Possible coexistence of short-range resonating-valence-bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet Cu${}_2$(OH)${}_3$NO${}_3$
• Dimer description of the SU(4) antiferromagnet on the triangular lattice
• Field-orientation dependence of quantum phase transitions in the S=1/2 triangular-lattice antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• On the Magnetization of the $120^{\circ }$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit
• Absence of long-range order in a general spin-$S$ kagome lattice Ising antiferromagnet
• NMR evidence of spin supersolid and Pomeranchuk effect behaviors in the triangular-lattice antiferromagnet Rb${}_2$Ni${}_2$(SeO${}_3$)${}_3$
• Spin-wave study of entanglement and Rényi entropy for coplanar and collinear magnetic orders in two-dimensional quantum Heisenberg antiferromagnets
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Transverse Magnetic Susceptibility of a Frustrated Spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ Heisenberg Antiferromagnet on a Bilayer Honeycomb Lattice
• Field-induced magnon decays in dipolar quantum magnets