Magnon Landau levels and emergent supersymmetry in strained antiferromagnets

Abstract

Inhomogeneous strain applied to lattice systems can induce artificial gauge fields for particles moving on this lattice. Here we demonstrate how to engineer a novel state of matter, namely an antiferromagnet with a Landau-level excitation spectrum of magnons. We consider a honeycomb-lattice Heisenberg model and show that triaxial strain leads to equally spaced pseudo-Landau levels at the upper end of the magnon spectrum, with degeneracies characteristic of emergent supersymmetry. We also present a particular strain protocol which induces perfectly quantized magnon Landau levels over the whole bandwidth. We discuss experimental realizations and generalizations.

arXiv comment5+7 pages, 3+5 figs; (v2)extended discussion and minor changes

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Cited by in corpus (16)

• Topological Magnons: A Review
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• All-electrical Magnon Transport Experiments in Magnetically Ordered Insulators
• Twist-induced magnon Landau levels in honeycomb magnets
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
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• Pseudo-magnetic fields in square lattices
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• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction
• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Transport of Dirac magnons driven by gauge fields