Journal Articles Physical Review B Year : 2024

Topological band engineering and tunable thermal Hall effect in trimerized Lieb lattice ferromagnets

Fengjun Zhuo
Zhenxiang Cheng
Aurélien Manchon

Abstract

We theoretically study the topological properties of magnons and the relevant magnon thermal Hall effect in trimerized Lieb lattice ferromagnets in the presence of next-nearest-neighbor Dzyaloshinskii-Moriya interactions. By calculating the magnon band structures and their Chern numbers with the linear spin-wave theory, we show that the system can undergo a phase transition between a magnonic topological insulator phase and a magnonic trivial insulator phase. The main results are presented in the form of topological phase diagrams, where the Chern numbers or magnon thermal Hall conductivity is shown as a function of the two lattice trimerization parameters. We find a sharp change of the thermal Hall conductivity across the critical point of phase transformations associated with topological nontrivial edge states. The behaviors reflect that the existence of trimerizations breaks the C4 rotational symmetry of the Lieb lattice. Finally, we show that our theoretical predictions could be experimentally realized in high-temperature cuprate superconductors or organic magnetic materials.

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Dates and versions

hal-04868915 , version 1 (06-01-2025)

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Fengjun Zhuo, Jian Kang, Zhenxiang Cheng, Aurélien Manchon. Topological band engineering and tunable thermal Hall effect in trimerized Lieb lattice ferromagnets. Physical Review B, 2024, 109 (5), pp.054412. ⟨10.1103/PhysRevB.109.054412⟩. ⟨hal-04868915⟩

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