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We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

The synergy between real and reciprocal space topology is anticipated to yield a diverse array of topological properties in quantum materials. We address this pursuit by achieving topologically safeguarded magnetic order in novel Weyl…

Starting from a microscopic model for the particle-particle interactions in a Weyl semimetal, we analyzed the possibility for conventional as well as monopole Cooper pairing between quasiparticle excitations at the same (intra-nodal) or…

Superconductivity · Physics 2024-11-13 Enrique Muñoz , Juan Pablo Esparza , José Braun , Rodrigo Soto-Garrido

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

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

In recent years, the interplay between quantum magnetism and topology has attracted growing interest, both for its fundamental importance and its technological potential. Topological magnons, quantized spin excitations with nontrivial band…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Weicen Dong , Haoxin Wang , Matteo Baggioli , Yi Liu

The concept of free fermion topology has been generalized to $d$-dimensional phases that exhibit $(d-n)$-dimensional boundary modes, such as zero-dimensional (0D) corner excitations. Motivated by recent extensions of these ideas to magnetic…

Strongly Correlated Electrons · Physics 2023-12-22 Arijit Haldar , Geremia Massarelli , Arun Paramekanti

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

We perform a theoretical study of the orbital effect of a magnetic field on a proximity-coupled islands array of $p_{x}+ip_{y}$ topological superconductors. To describe the system, we generalize the tight-binding model of the Hofstadter…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Omri Lesser , Yuval Oreg

After the classification of topological states of matter has been clarified for non-interacting electron systems, the theoretical connection between gapless boundary modes and nontrivial bulk topological structures, and their evolutions as…

Strongly Correlated Electrons · Physics 2018-08-15 M. Sasaki , A. Ohnishi , Nabyendu Das , K. -S. Kim , Heon-Jung Kim

We study magnon-plasmon coupling in effectively two-dimensional stacks of van der Waals layers in the context of the band structure topology. Invoking the quasiparticle approximation, we show that the magnetic dipole coupling between the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Tomoki Hirosawa , Pieter M. Gunnink , Alexander Mook

Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatile platform for exploring band topology, interaction-driven phases, and magnetic orders. We study the interaction-driven phases in twisted TMD homobilayers and their…

Strongly Correlated Electrons · Physics 2024-09-12 Taige Wang , Trithep Devakul , Michael P. Zaletel , Liang Fu

The discovery of time-reversal-invariant topological states has drawn great attention in recent decades. However, despite the potential of displaying a variety of exotic physics, the study of magnetic topological phases lags behind due to…

Materials Science · Physics 2022-02-15 Anumita Bose , Rajdeep Banerjee , Awadhesh Narayan

We present a comprehensive theoretical study of the topological properties of triplon excitations in spin-1/2 dimer-singlet ground states defined on the maple leaf and star lattices. Our analysis is based on a model that includes Heisenberg…

Strongly Correlated Electrons · Physics 2025-11-18 Nanse Esaki , Yutaka Akagi , Karlo Penc , Hosho Katsura

The multiferroic ferrimagnet Cu$_2$OSeO$_3$ with a chiral crystal structure attracted a lot of recent attention due to the emergence of magnetic skyrmion order in this material. Here, the topological properties of its magnon excitations are…

Different from previous scenarios that topological magnons emerge in local spin models, we propose an alternative that itinerant electron magnets can host topological magnons. A one-dimensional Tasaki model with a flat band is considered as…

Strongly Correlated Electrons · Physics 2018-06-13 Xiao-Fei Su , Zhao-Long Gu , Zhao-Yang Dong , Jian-Xin Li

One of the defining properties of the conventional three-dimensional ("$\mathbb{Z}_2$-", or "spin-orbit"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss…

Strongly Correlated Electrons · Physics 2012-06-14 Shinsei Ryu , Joel E. Moore , Andreas W. W. Ludwig

We present the first theoretical evidence of zero magnetic field topological (anomalous) thermal Hall effect due to Weyl magnons. Here, we consider Weyl magnons in stacked noncoplanar frustrated kagom\'e antiferromagnets recently proposed…

Strongly Correlated Electrons · Physics 2018-11-09 S. A. Owerre

We elaborate the first theoretical realization of two dimensional itinerant topological magnons, based on the quarter filled Haldane-Hubbard model with a nearly-flat electron band. By using the exact diagonalization method with a projection…

Strongly Correlated Electrons · Physics 2019-08-27 Zhao-Long Gu , Zhao-Yang Dong , Shun-Li Yu , Jian-Xin Li
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