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A number of topological phases are found to emerge in the ferromagnetic Kitaev-Heisenberg model on CaVO lattice in the presence of Dzyaloshinskii-Moriya interaction. Heisenberg and Kitaev terms have been considered on nearest and…

Strongly Correlated Electrons · Physics 2021-05-05 Moumita Deb , Asim Kumar Ghosh

Topological states of matter exhibit many novel properties due to the presence of robust topological invariants such as the Chern index. These global characteristics pertain to the system as a whole and are not locally defined. However,…

Strongly Correlated Electrons · Physics 2019-02-07 M. D. Caio , G. Möller , N. R. Cooper , M. J. Bhaseen

We study a simple magnetic system composed of periodically modulated magnetic dipoles with an easy axis. Upon adjusting the modulation amplitude alone, chains and two-dimensional stacked chains exhibit a rich magnon spectrum where frequency…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Paula Mellado

A central property of Chern insulators is the robustness of the topological phase and edge states to impurities in the system. Despite this, Chern number cannot be straightforwardly calculated in the presence of disorder. Recently, work has…

Strongly Correlated Electrons · Physics 2022-10-20 Peru d'Ornellas , Ryan Barnett , Derek K. K. Lee

We explore the moir\'e magnon bands in twisted bilayer magnets with next-nearest neighboring Dzyaloshinskii-Moriya interactions, assuming that the out-of-plane collinear magnetic order is preserved under weak interlayer coupling. By…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Yu-Hang Li , Ran Cheng

Topological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a…

In spite of flourishing studies on the topology of spin waves, a generic framework to classify and compute magnon band topology in non-collinear magnets is still missing. In this work we provide such a theory framework, by mapping an…

Strongly Correlated Electrons · Physics 2018-07-30 Fuyan Lu , Yuan-Ming Lu

Topological magnons are emergent quantum spin excitations featured by magnon bands crossing linearly at the points dubbed nodes, analogous to fermions in topological electronic systems. Experimental realization of topological magnons in…

Topological phases have been explored in various fields in physics such as spintronics, photonics, liquid helium, correlated electron system and cold-atomic system. This leads to the recent foundation of emerging materials such as…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Ryuichi Shindou , Ryo Matsumoto , Shuichi Murakami , Jun-ichiro Ohe

Advanced vector imaging techniques provide us with 3D maps of magnetization fields in which topological concepts can be directly applied to describe real-space experimental textures in non-ideal geometries. Here, the 3D magnetization of a…

Topological invariants are global properties of the ground-state wave function, typically defined as winding numbers in reciprocal space. Over the years, a number of topological markers in real space have been introduced, allowing to map…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Nicolas Baù , Antimo Marrazzo

Quantum systems are often described by parameter-dependent Hamiltonians. Points in parameter space where two levels are degenerate can carry a topological charge. Here we theoretically study an interacting two-spin system where the…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 György Frank , Dániel Varjas , Péter Vrana , Gergő Pintér , András Pályi

The chiral central charge $c_-$ is a key topological invariant of the edge characterizing the bulk two-dimensional chiral topological order, but its direct evaluation in microscopic spin models has long been a challenge, especially for…

Strongly Correlated Electrons · Physics 2025-10-08 Avijit Maity , Aman Kumar , Vikram Tripathi

Topological magnons, quantized spin waves featuring nontrivial boundary modes, present a promising route toward lossless information processing. Realizing practical devices typically requires magnons excited in a controlled manner to enable…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Xueqing Wan , Quanchao Du , Jinlian Lu , Zhenlong Zhang , Jinyang Ni , Lei Zhang , Zhijun Jiang , Laurent Bellaiche

Local topological markers are used to characterize Chern insulators in the presence of spatial inhomogeneities, such as boundaries and disorder. In this paper, we study the local Chern marker in systems with partial translational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Maks Repše , Tomaž Rejec , Jernej Mravlje

Realizing novel topological states in magnonic systems unlocks robust, low-power spin-wave devices. In this letter, we show that incorporating left-handed spin waves (antimagnons) fundamentally reorganizes band topology, and enables tunable…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Yifan Liu , Zehan Chen , Qiming Shao

Quasi-periodic quantum spin chains were recently found to support many topological phases in the finite magnetization sectors. They can simulate strong topological phases from class A in arbitrary dimension that are characterized by first…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Yifei Liu , Emil Prodan

The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards…

Disordered Systems and Neural Networks · Physics 2019-01-24 Marcello D. Caio , Marco Caccin , Paul Baireuther , Timo Hyart , Michel Fruchart

Robust zero modes supported by defects is one of the key features of topological matter. Its presence renders a system topologically inhomegeneuous, thus having no well-defined global topological invariant. The quantities labeling different…

Statistical Mechanics · Physics 2023-12-27 Diana B. Golovanova , Alexander R. Yavorsky , Anton A. Markov , Alexey N. Rubtsov

The nontrivial topology of quasiparticle wavefunctions can manifest themselves in the form of observable surface states. This is now well established in electronic systems, with Dirac and Weyl semimetals bringing to fore the exotic nature…

Strongly Correlated Electrons · Physics 2022-10-14 Avirup De , Dharmalingam Prabhakaran , Sunil Nair