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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Topology-induced symmetry breaking: a demonstration in antiferromagnetic magnons on a Möbius strip
(Submitted on 12 Mar 2024 (v1), last revised 13 Apr 2024 (this version, v3))
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.
Submission history
From: Kuangyin Deng [view email][v1] Tue, 12 Mar 2024 17:38:14 GMT (6817kb,D)
[v2] Thu, 4 Apr 2024 03:29:07 GMT (6879kb,D)
[v3] Sat, 13 Apr 2024 03:19:32 GMT (6818kb,D)
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