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07 February 2025
 
  » arxiv » 1608.8605

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Magnon Hall effect without Dzyaloshinskii-Moriya interaction on the frustrated star lattice
S. A. Owerre ;
Date 1 Sep 2016
AbstractIn quantum ferromagnetic insulators, magnon Hall effect and topological protected magnon edge states are induced by the Dzyaloshinskii-Moriya interaction (DMI), which provides spin-orbit coupling (SOC). For the ${f q}=0$ N’eel order on the frustrated star-lattice, it is shown that the DMI does not provide SOC, hence the system is topologically trivial with vanishing thermal Hall conductivity $kappa_{xy}$ and no protected chiral edge states. We show the existence of nonzero $kappa_{xy}$ and protected chiral edge states in the presence of a magnetic field, which induces the required chiral interaction $H_{chi}simcoschi({f S_{i}} imes{f S_{j}})_z$, necessary for topological effects to exist, where $coschipropto ext{magnetic field strength}$. We propose that this magnetic field effect can be accessible in Polymeric Iron (III) Acetate --- a star-lattice antiferromagnet with both spin frustration and long-range magnetic ordering.
Source arXiv, 1608.8605
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