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A magnetic Hopfion is a three-dimensional topological soliton that consists of a closed loop of a twisted magnetic Skyrmion string. The results of numerical simulations are presented that demonstrate the existence of a stable Hopfion in a…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Paul Sutcliffe

Using full 3D finite element simulation and underlining Hamiltonian models, we demonstrate reconfigurable photonic analogues of topological insulators on a regular lattice of tunable posts in a re-entrant 3D lumped element type system. The…

Instrumentation and Detectors · Physics 2016-12-14 Maxim Goryachev , Michael E. Tobar

We show that band topology can dramatically change the photophysics of two-dimensional (2D) semiconductors. For systems in which states near the band extrema are of multiple orbitals character and the spinors describing the orbital…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Ting Cao , Meng Wu , Steven G. Louie

Torons are three-dimensional double-twist solitons in chiral nematic liquid crystals that form localised director configurations protected by topology and bounded by closed defect loops. They behave as particle-like entities while retaining…

Magnetic hopfions are localized magnetic solitons with non-zero 3D topological charge (Hopf index). Here I present an analytical calculation of the toroidal magnetic hopfion vector potential, emergent magnetic field, the Hopf index, and the…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Konstantin Y. Guslienko

Efficient control of phonons is crucial to energy-information technology, but limited by the lacking of tunable degrees of freedom like charge or spin. Here we suggest to utilize crystalline symmetry-protected pseudospins as new quantum…

Mesoscale and Nanoscale Physics · Physics 2019-09-12 Yizhou Liu , Yong Xu , Wenhui Duan

The emerging field of topology has brought device effects to a new level. Higher-order topological insulators (HOTIs) go beyond traditional descriptions of bulk-edge correspondence, broadening the understanding of topologically insulating…

Optics · Physics 2024-04-03 Hui Chang Li , Xiang Zhou , Hai Lin Chi , Wen Wen Wang , Yun Shen , Xiao Hua Deng

Twisted two-dimensional bi-layers offer exquisite control on the electronic bandstructure through the interlayer rotation and coupling, enabling magic-angle flat-band superconductivity and moir\'e excitons. Here, we demonstrate how…

Topological textures in magnetically ordered materials are important case studies for fundamental research with promising applications in data science. They can also serve as photonic elements to mold electromagnetic fields endowing them…

The Hopf index, a topological invariant that quantifies the linking of preimage fibers, is fundamental to the structure and stability of hopfions. In this work, we propose a new mathematical framework for modeling hopfions with high Hopf…

Soft Condensed Matter · Physics 2026-04-21 Yuta Nozaki , Darian Hall , Ivan I. Smalyukh , Yuya Koda

Topological magnetic textures have attracted considerable interest since they exhibit new properties and might be useful in information technology. Magnetic hopfions are three-dimensional (3D) spatial variations in the magnetization with a…

Mesoscale and Nanoscale Physics · Physics 2020-11-12 X. S. Wang , A. Qaiumzadeh , A. Brataas

Solitonic symmetry has been believed to follow the homotopy-group classification of topological solitons. Here, we point out a more sophisticated algebraic structure when solitons of different dimensions coexist in the spectrum. We uncover…

High Energy Physics - Theory · Physics 2023-07-11 Shi Chen , Yuya Tanizaki

Higher-order topological insulators (HOTIs) have attracted much attention in photonics due to the tightly localized disorder-robust corner and hinge states. Here, we reveal an unconventional HOTI phase with vanishing dipole and quadrupole…

Optics · Physics 2022-05-25 Maxim Mazanov , Maxim A. Gorlach

Rapid development of topological concepts in photonics unveils exotic phenomena such as unidirectional propagation of electromagnetic waves resilient to backscattering at sharp bends and disorder-immune localization of light at stable…

Optical Skyrmions have many important properties that make them ideal units for high-density data applications, including the ability to carry digital information through a discrete topological number and the independence of spatially…

Structured light offers a promising solution for the increasing data demands of modern optical networks, opening up new degrees of freedom that can be leveraged for greater channel capacity and more bits per photon. However, its…

The recent discovery and realizations of higher-order topological insulators enrich the fundamental studies on topological phases. Here, we report three-dimensional (3D) wave-steering capabilities enabled by topological boundary states at…

Applied Physics · Physics 2021-02-18 Changqing Xu , Zeguo Chen , Guanqing Zhang , Guancong Ma , Ying Wu

Layered topological insulators, for example, Bi$_2$Se$_3$ are optically hyperbolic materials in a range of THz frequencies. Such materials possess deeply subdiffractional, highly directional collective modes: hyperbolic phonon-polaritons.…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Jhih-Sheng Wu , D. N. Basov , M. M. Fogler

Atom optics demonstrates optical phenomena with coherent matter waves, providing a foundational connection between light and matter. Significant advances in optics have followed the realisation of structured light fields hosting complex…

Resonant spin dynamics of topological spin textures are correlated with their topological nature, which can be employed to understand this nature. In this study, we present resonant spin dynamics of three-dimensional topological spin…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Zulfidin Khodzhaev , Emrah Turgut