Magnon boundary states tailored by longitudinal spin-spin interactions and topology

• URL: http://arxiv.org/abs/2202.13780v2
• Date: Wed, 11 Jan 2023 06:08:41 GMT
• Title: Magnon boundary states tailored by longitudinal spin-spin interactions and topology
• Authors: Wenjie Liu and Yongguan Ke and Zhoutao Lei and Chaohong Lee
• Abstract summary: We find topological edge states and defect edge states of magnon excitations in a dimerized Heisenberg XXZ chain. Our work opens an avenue for exploring topological magnon excitations and has potential applications in topological magnon devices.
• Score: 1.0581512835598348
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Since longitudinal spin-spin interaction is ubiquitous in magnetic materials, it is very interesting to explore the interplay between topology and longitudinal spin-spin interaction. Here, we examine the role of longitudinal spin-spin interaction on topological magnon excitations. Remarkably, even for single-magnon excitations, we discover topological edge states and defect edge states of magnon excitations in a dimerized Heisenberg XXZ chain and their topological properties can be distinguished via adiabatic quantum transport. We uncover topological phase transitions induced by longitudinal spin-spin interactions whose boundary is analytically obtained via the transfer matrix method. For multi-magnon excitations, even-magnon bound states are found to be always topologically trivial, but odd-magnon bound states may be topologically nontrivial due to the interplay between the transverse dimerization and the longitudinal spin-spin interaction. For two-dimensional spin systems, the longitudinal spin-spin interaction contributes to the coexistence of defect corner states, second-order topological corner states and first-order topological edge states. Our work opens an avenue for exploring topological magnon excitations and has potential applications in topological magnon devices.

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