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We present the new concept of photonic alloy as a non-periodic topological material. By mixing non-magnetized and magnetized rods in a non-periodic 2D photonic crystal configuration, we realized photonic alloys in the microwave regime. Our…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Tiantao Qu , Mudi Wang , Xiaoyu Cheng , Xiaohan Cui , Ruo-Yang Zhang , Zhao-Qing Zhang , Lei Zhang , Jun Chen , C. T. Chan

Magnetic topological materials, in which the time-reversal symmetry is broken, host various exotic quantum phenomena, including the quantum anomalous Hall effect, axion insulator states, and Majorana fermions. The study of magnetic…

In this paper, we survey recent works on the structure of the mapping class groups of surfaces mainly from the point of view of topology. We then discuss several possible directions for future research. These include the relation between…

Geometric Topology · Mathematics 2016-09-07 Shigeyuki Morita

The interplay between magnetism, band topology, and electronic correlation in low dimensions has been a fascinating subject of research. Here, we propose two-dimensional (2D) material systems which demonstrate such an interesting interplay.…

Materials Science · Physics 2020-12-24 Bo Tai , Weikang Wu , Xiaolong Feng , Yalong Jiao , Jianzhou Zhao , Yunhao Lu , Xian-Lei Sheng , Shengyuan A. Yang

The discovery of two-dimensional (2D) van der Waals magnetic materials and their heterostructures provided an exciting platform for emerging phenomena with intriguing implications in information technology. Here, based on a multiscale…

Materials Science · Physics 2023-06-02 Nihad Abuawwad , Manuel dos Santos Dias , Hazem Abusara , Samir Lounis

Topological matter is known to exhibit unconventional surface states and anomalous transport owing to unusual bulk electronic topology. In this study, we use photoemission spectroscopy and quantum transport to elucidate the topology of the…

Two-dimensional (2D) materials enable new types of magnetic and electronic phases mediated by their reduced dimensionality like magic-angle induced phase transitions, 2D Ising antiferromagnets and ferromagnetism in 2D atomic layers and…

Ferroelectricity, band topology, and superconductivity are respectively local, global, and macroscopic properties of quantum materials, and understanding their mutual couplings offers unique opportunities for exploring rich physics and…

Superconductivity · Physics 2024-08-22 Jianyong Chen , Ping Cui , Zhenyu Zhang

In the search for stable topological semimetals with clean band profiles, we have screened all the 3$d$ metal-intercalated transition-metal dichalcogenides (3dI-TMDCs) by performing hybrid-functional-based ab initio calculations. Two…

Strongly Correlated Electrons · Physics 2019-10-08 Takeshi Inoshita , Motoaki Hirayama , Noriaki Hamada , Hideo Hosono , Shuichi Murakami

We study a topological phase diagram of a ferromagnetic topological nodal semimetal. We consider a lattice model for three-dimensional topological insulators with ferromagnetic ordering. The exchange coupling between the magnetization and…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 Yuya Ominato , Ai Yamakage , Kentaro Nomura

The discovery of topological states of matter has led to a revolution in materials research. When external or intrinsic parameters break certain symmetries, global properties of topological materials change drastically. A paramount example…

Unconventional magnetism represents a paradigm shift in condensed matter physics, effectively bridging the fast, high-density advantages of antiferromagnets with the facile read-write capability of ferromagnets. Recent developments in spin…

Materials Science · Physics 2026-03-31 Xiaobing Chen , Weizhao Chen , Qihang Liu

We propose an approach for low-dimensional visualisation and classification of complex topological magnetic structures formed in magnetic materials. Within the approach one converts a three-dimensional magnetic configuration to a vector…

Strongly Correlated Electrons · Physics 2019-01-30 I. A. Iakovlev , O. M. Sotnikov , V. V. Mazurenko

Weyl degeneracies in spectra of magnetoplasma waves enable nonreciprocal energy flow and topologically protected modes, yet conventional materials require impractical magnetic fields to operate. Developing an effective Hamiltonian framework…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Yuanzhao Wang , Oleg V. Kotov , Dmitry K. Efimkin

We demonstrate a new method of designing 2D functional magnetic topological heterostructure (HS) by exploiting the vdw heterostructure (vdw-HS) through combining 2D magnet CrI$_3$ and 2D materials (Ge/Sb) to realize new 2D topological…

Materials Science · Physics 2020-03-13 Anh Pham , Panchapakesan Ganesh

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

In this paper, we study five-dimensional Dirac fermions of which extra-dimension is compactified on quantum graphs. We find that there is a non-trivial correspondence between matrices specifying boundary conditions at the vertex of the…

High Energy Physics - Theory · Physics 2022-10-20 Tomonori Inoue , Makoto Sakamoto , Masatoshi Sato , Inori Ueba

Using quantum Monte Carlo simulations, we map out the phase diagram of Hamiltonians interpolating between trivial and non-trivial bosonic symmetry-protected topological phases, protected by $\mathbb{Z}_2$ and $\mathbb{Z}_2^3$ symmetries, in…

Strongly Correlated Electrons · Physics 2021-05-04 Maxime Dupont , Snir Gazit , Thomas Scaffidi

Nonlocal crystals are systems with translational symmetry but arbitrary range couplings or interactions between degrees of freedom. We argue that the notion of topology in such systems does not collapse to that in zero dimensions, as one…

Strongly Correlated Electrons · Physics 2025-06-13 Shu Hamanaka , Martina O. Soldini , Tsuneya Yoshida , Titus Neupert

The topological phases of non-interacting fermions have been classified by their symmetries, culminating in a modern electronic band theory where wavefunction topology can be obtained (in part) from momentum space. Recently, Real Space…

Strongly Correlated Electrons · Physics 2024-02-27 Jonah Herzog-Arbeitman , B. Andrei Bernevig , Zhi-Da Song
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