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A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

Topological phase transitions provide a unique window into the interplay between structure, magnetism, and Weyl physics in magnetic Weyl semimetals. However, realizing an intrinsic Weyl phase transition between two distinct Weyl states near…

Strongly Correlated Electrons · Physics 2026-04-21 Tsung-Han Yang , Satoshi Okamoto , D. Alan Tennant , Michael A. McGuire , Qiang Zhang

Topological magnon insulators in insulating Kagom\'e ferromagnets have been extensively studied in a series of papers. It has been established that Dzyaloshinskii-Moriya interaction (DMI) is the key ingredient to observe a nontrivial…

Strongly Correlated Electrons · Physics 2016-11-22 S. A. Owerre

Thermal fluctuation in magnets will bring temperature-dependent self-energy corrections to the magnons, however, their effects on the topological orders of magnons is not well explored. Here we demonstrate that such corrections can induce a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Yun-Mei Li , Xi-Wang Luo , Kai Chang

Topological magnon insulators are the bosonic analogs of electronic topological insulators. They are manifested in magnetic materials with topologically nontrivial magnon bands as realized experimentally in a quasi-two-dimensional…

Strongly Correlated Electrons · Physics 2018-11-13 S. A. Owerre

We demonstrate theoretically that the thermal Hall effect of magnons in collinear antiferromagnetic insulators is an indicator of magnetic and topological phase transitions in the magnon spectrum. The transversal heat current of magnons…

Strongly Correlated Electrons · Physics 2022-03-23 Robin R. Neumann , Alexander Mook , Jürgen Henk , Ingrid Mertig

Topological insulators, in contrast to ordinary semiconductors, accompany protected metallic surfaces described by Dirac-type fermions. Here, we theoretically show another emergent two-dimensional metal embedded in the bulk insulator is…

Strongly Correlated Electrons · Physics 2014-05-30 Youhei Yamaji , Masatoshi Imada

We propose a magnon realization of 3D topological insulator in the AIII (chiral symmetry) topological class. The topological magnon gap opens due to the presence of Dzyaloshinskii-Moriya interactions. The existence of the topological…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 Bo Li , Alexey A. Kovalev

We investigate an ultra-thin film of topological insulator (TI) multilayer as a model for a three-dimensional (3D) Weyl semimetal. We introduce tunneling parameters $t_S$, $t_\perp$, and $t_D$, where the former two parameters couple layers…

Strongly Correlated Electrons · Physics 2016-05-10 S. A. Owerre

A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional cubic lattice is known to exhibit Chern insulator like topological transitions as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is the Wilson…

High Energy Physics - Theory · Physics 2020-12-30 Srimoyee Sen

Topological phase transitions in a three-dimensional (3D) topological insulator (TI) with an exchange field of strength $g$ are studied by calculating spin Chern numbers $C^\pm(k_z)$ with momentum $k_z$ as a parameter. When $|g|$ exceeds a…

Mesoscale and Nanoscale Physics · Physics 2013-10-28 Yunyou Yang , Huichao Li , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

We theoretically investigate magnons on the $\alpha$-T$_3$ lattice. Atomistic spin dynamics simulations show that next-nearest neighbor hopping and easy-axis anisotropy stabilize ferromagnetic order in the presence of Dzyaloshinskii-Moriya…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Luqman Saleem , Hasan M. Abdullah , Udo Schwingenschlogl , Aurelien Manchon

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

Quantum Gases · Physics 2015-06-16 Dario Hügel , Belén Paredes

Despite the tremendous interest raised by the recent realization of magnetic Weyl semimetals and the observation of giant anomalous Hall signals, most of the theories used to interpret experimental data overlook the influence of magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Konstantinos Sourounis , Aurélien Manchon

From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Hao Wan , Qing-Feng Sun

Extending the notion of symmetry protected topological phases to insulating antiferromagnets (AFs) described in terms of opposite magnetic dipole moments associated with the magnetic N$\acute{{\rm{e}}} $el order, we establish a bosonic…

Mesoscale and Nanoscale Physics · Physics 2017-12-12 Kouki Nakata , Se Kwon Kim , Jelena Klinovaja , Daniel Loss

We theoretically show that the coupling of inhomogeneous strains to the Dirac fermions of three-dimensional topological insulators (3DTI) in thin film geometries results in the occurrence of phase transitions between topologically distinct…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

By using an extended slave-boson method, we draw a global phase diagram summarizing both magnetic phases and paramagnetic (PM) topological insulating phases (TI$_s$) in three-dimensional topological Kondo insulator (TKI). By including…

Strongly Correlated Electrons · Physics 2018-12-26 Huan Li , Zhi-Yong Wang , Xiao-Jun Zheng , Yu Liu , Yin Zhong

In this work, we study the topological properties and magnon Hall effect of a three-dimensional ferromagnet in the ABC stacking honeycomb lattice, motivated by the recent inelastic neutron scattering study of CrI$_3$. We show that the…

Strongly Correlated Electrons · Physics 2021-09-23 Shuyi Li , Andriy H. Nevidomskyy

We investigate a new class of topological antiferromagnetic (AF) Chern insulators driven by electronic interactions in two-dimensional systems without inversion symmetry. Despite the absence of a net magnetization, AF Chern insulators…

Strongly Correlated Electrons · Physics 2018-04-17 Kun Jiang , Sen Zhou , Xi Dai , Ziqiang Wang
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