Spin waves in the AF state of the $t$-$t^{\prime }$ Hubbard model on the fcc lattice: competing interactions, frustration, and instabilities

Abstract

Spin waves in the type-III ordered antiferromagnetic state of the frustrated $t$-$t^{\prime }$ Hubbard model on the fcc lattice are calculated to investigate finite-$U$-induced competing interaction and frustration effects on magnetic excitations and instabilities. Particularly strong competing interactions generated due to interplay of fcc lattice geometry and magnetic order result in significant spin wave softening. The calculated spin wave dispersion is found to be in qualitative agreement with the measured spin wave dispersion in the pyrite mineral $\mathrm{Mn}{\mathrm{S}}_2$ obtained from inelastic neutron scattering experiments. Instabilities to other magnetic orders (type I, type II, spiral, non-collinear), as signalled by spin wave energies turning negative, are also discussed.

18 pages, 9 figures

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• Modeling the Unconventional Superconducting Properties of Expanded A${}_3$C${}_{60}$ Fullerides
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• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Magnetic excitations in frustrated fcc type-III antiferromagnet MnS${}_2$
• Microscopic Origin of Reduced Magnetic Order in a Frustrated Metal
• Collinear Magnetic Structure in the Diamond Network Magnet EuTi${}_2$Al${}_{20}$