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Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

Detecting structure in data is the first step to arrive at meaningful representations for systems. This is particularly challenging for dislocation networks evolving as a consequence of plastic deformation of crystalline systems. Our study…

Materials Science · Physics 2024-06-24 Benjamin Udofia , Tushar Jogi , Markus Stricker

We investigate the optical and quantum mechanical properties of a charged spinless particle confined in a two-dimensional quantum ring under the simultaneous influence of a spiral dislocation and an external magnetic field. The dislocation…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Hassan Hassanabadi , Kangxian Guo , Liangliang Lu , Edilberto O. Silva

The impact of twin boundaries (TBs) on the microstructure evolution and plastic deformation mechanisms of face-centered cubic (FCC) metals has been extensively studied since the discovery that nanotwinned materials exhibit a favorable…

Materials Science · Physics 2026-01-28 DeAn Wei , Michael Zaiser , Jing Tang , Xu Zhang

Diffusion-driven instability is a fundamental mechanism underlying pattern formation in spatially extended systems. In almost all existing works, diffusion across the links of the underlying network is modeled through scalar weights,…

Statistical Mechanics · Physics 2026-02-16 Anna Gallo , Wilfried Segnou , Timoteo Carletti

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

In this work, we investigate the topological properties of knotted defects in smectic liquid crystals. Our story begins with screw dislocations, whose radial surface structure can be smoothly accommodated on $S^3$ for fibred knots by using…

Soft Condensed Matter · Physics 2025-06-16 Paul G. Severino , Randall D. Kamien , Benjamin Bode

Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The surface rigidity of elastic networks is characterized by a bulk topological invariant called the polarization;…

Soft Condensed Matter · Physics 2018-03-02 Guido Baardink , Anton Souslov , Jayson Paulose , Vincenzo Vitelli

Topological magnetic textures confined to two-dimensional (2D) non-orientable manifolds exhibit behaviors absent in planar systems. We investigate bimerons on M\"obius surfaces and show that the lack of global orientation alters…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Carlos Saji , Mario A. Castro , Vagson L. Carvalho-Santos , Eduardo Saavedra , Alvaro S. Nunez , Roberto E. Troncoso

Topological dislocation modes resulting from the interplay between spatial dislocations and momentum-space topology have recently attracted significant interest. Here, we theoretically and experimentally demonstrate time-dislocation…

Mesoscale and Nanoscale Physics · Physics 2024-06-10 Jia-Hui Zhang , Feng Mei , Yi Li , Ching Hua Lee , Jie Ma , Liantuan Xiao , Suotang Jia

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Bitan Roy , Vladimir Juricic

The bulk-boundary correspondence, which links a bulk topological property of a material to the existence of robust boundary states, is a hallmark of topological insulators. However, in crystalline topological materials the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Sasha S. Yamada , Tianhe Li , Mao Lin , Christopher W. Peterson , Taylor L. Hughes , Gaurav Bahl

Topological magnetism, characterized by topologically protected spin textures, offers rich physics and transformative prospects for spintronics. However, its stabilization typically demands external magnetic fields, preventing…

Materials Science · Physics 2026-03-06 Zhonglin He , Kaiying Dou , Wenhui Du , Ying Dai , Evgeny Y. Tsymbal , Yandong Ma

Spin fluctuations in two-dimensional (2D) ferromagnets in the presence of crystalline lattice dislocations are investigated. We show the existence of topologically protected non-propagative modes that localize at dislocations. These in-gap…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Carlos Saji , Nicolas Vidal-Silva , Alvaro S. Nunez , Roberto E. Troncoso

Time is the odd dimension out: Unlike space, it follows the arrow of time, forbidding back-reflections and requiring momentum yet not energy conservation. Tailored temporal variations manipulate momentum bands and engineer waves in time. We…

Topological magnetic textures are particle-like spin configurations stabilized by competing interactions. Their formation is commonly attributed to fluctuation-driven, first-order nucleation processes requiring activation over a topological…

Many transport processes in nature take place on substrates, often considered as unidimensional lanes. These unidimensional substrates are typically non-static: affected by a fluctuating environment, they can undergo conformational changes.…

Statistical Mechanics · Physics 2013-01-11 Francesco Turci , Andrea Parmeggiani , Estelle Pitard , M. Carmen Romano , Luca Ciandrini

We study electron transport in a strained graphene sheet subjected to a sequence of $N$ electrostatic and magnetic barriers. Employing a modified and improved transfer-matrix framework, we examine how the transmission and reflection…

A magnetic skyrmion isusually refers to a twisted spin texture surrounded by uniformly aligned out-of-plane spinsin the background of a uniformly magnetized state. The invariance of the magnetic skyrmion conserves its topological charge…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Kyoung-Woong Moon , Jungbum Yoon , Changsoo Kim , Chanyong Hwang

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

Mathematical Physics · Physics 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier