Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons

Abstract

The pseudo-magnetic field created by a non-uniform unaxial strain is introduced into the antiferromagnetic honeycomb nanoribbons. The formation of magnon pseudo-Landau levels, which appear from the upper end of the spectrum and whose level spacings are proportional to the square root of the level index, is revealed by the linear spin-wave theory. The antiferromagnetic order is gradually weakened along the $y$-direction by the strain. At large enough strength, the system is decoupled into isolated zigzag chains near the upper boundary, and demonstrates one-dimensional magnetic property there. While the quantum Monte Carlo simulations also predict such a transition, this exact method gives a critical point deeper in the bulk. We also investigate the $XY$ antiferromagnetic honeycomb nanoribbons, and find similar pseudo-Landau levels and antiferromagnetic evolution. Our results unveil the effect of a non-uniform unaxial strain on the spin excitaions, and may be realized experimentally based on two-dimensional quantum magnetic materials.

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Cited by in corpus (8)

• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Reverse strain-induced snake states in graphene nanoribbons
• Acousto-magnonic spin Hall effect in honeycomb antiferromagnets
• Time-dependent strain-tuning topological magnon phase transition
• Pseudo-magnetic fields in square lattices
• Anomalous enhancement of Neel order in the $S=1/2$ square lattice Heisenberg model under fictitious magnetic field
• Transport of Dirac magnons driven by gauge fields