Topology-induced symmetry breaking: a demonstration in antiferromagnetic magnons on a Möbius strip

• URL: http://arxiv.org/abs/2403.07846v3
• Date: Sat, 13 Apr 2024 03:19:32 GMT
• Title: Topology-induced symmetry breaking: a demonstration in antiferromagnetic magnons on a Möbius strip
• Authors: Kuangyin Deng, Ran Cheng,
• Abstract summary: We propose a mechanism of topology-induced symmetry breaking, where certain local symmetry preserved by the Hamiltonian is broken in the excited eigenstates due to the nontrivial boundary condition. As a demonstration, we study magnon excitations on a M"obius strip comprising of two antiferromagnetically coupled spin chains.
• Score: 8.937248059172983
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a mechanism of topology-induced symmetry breaking, where certain local symmetry preserved by the Hamiltonian is broken in the excited eigenstates due to the nontrivial boundary condition. As a demonstration, we study magnon excitations on a M\"obius strip comprising of two antiferromagnetically coupled spin chains. Even under a simple Hamiltonian respecting local rotational symmetry and without considering curvature effects, magnons exhibit linear polarization of the N\'eel vector devoid of chirality and form two non-degenerate branches that cannot be smoothly connected to or be decomposed by the circularly-polarized magnons typically seen in antiferromagnets. One branch supports standing-wave formation on the M\"obius strip while the other does not, owing to its spectral shift incurred by the boundary condition. Our findings showcase the significant influence of real-space topology on the physical nature of quasiparticles.

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