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• W1996800979 abstract "Properties of Heisenberg models with higher-order exchange, $H=frac{1}{2} ensuremath{Sigma}{l=1}^{{l}_{0}}ensuremath{Sigma}{n,m}^{}{J}_{mathrm{nm}}^{(l)}{({stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{n}ifmmodecdotelsetextperiodcenteredfi{}{stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{m})}^{l}$, are discussed. It is found that there is a one-to-one relation between the set of all coupling constants and the set of the energies of all $ensuremath{nu}$-magnon states with $ensuremath{nu}ensuremath{le}2s$, where $s$ is the spin at each site. Necessary and sufficient conditions for a ferromagnetic ground state are derived for systems with only nearest-neighbor interactions as well as for systems which also include next-nearest-neighbor interactions. These conditions are qualitatively different in the quantum and in the classical case. Discussing the elementary excitations, a classification of the $ensuremath{nu}$-magnon bound states is found: an extreme case is the pure exchange bound state, where the $ensuremath{nu}$ spin deviations extend around the nearest $ensuremath{nu}$ sites; the opposite extreme case is the pure single-ion bound state where the $ensuremath{nu}$ spin deviations are most likely at the same site. Between these two cases there exist all combinations of both, if higherorder exchange with ${l}_{0}ensuremath{ge}ensuremath{nu}$ is present. The case $ensuremath{nu}=2$ is discussed in more detail." @default.
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• W1996800979 date "1984-10-01" @default.
• W1996800979 modified "2023-10-18" @default.
• W1996800979 title "Heisenberg model with higher-order exchange: Ground-state properties and excitations" @default.
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• W1996800979 doi "https://doi.org/10.1103/physrevb.30.3770" @default.
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