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Topology captures the essence of what remains unchanged under a transformation. In this study, a topological invariant called super conformality was found to preserve a critical angle between the constitutive plane and its second order…

General Physics · Physics 2023-06-26 Frank Z. Wang

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

Analysis of PDEs · Mathematics 2023-07-10 Stefano Almi , Ulisse Stefanelli

Switching of magnetic vortex cores involves a topological transition characterized by the presence of a magnetization singularity, a point where the magnetization vanishes (Bloch point). We analytically derive the shape of the Bloch point…

Mesoscale and Nanoscale Physics · Physics 2014-06-17 Ricardo Gabriel Elias , Alberto Verga

Drilling holes in a bulk high-Tc superconductor enhances the oxygen annealing and the heat exchange with the cooling liquid. However, drilling holes also reduces the amount of magnetic flux that can be trapped in the sample. In this paper,…

Superconductivity · Physics 2009-11-13 Gregory P Lousberg , M Ausloos , Ph Vanderbemden , B Vanderheyden

The goal of this paper is to improve the performance of an electric motor by modifying the geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to smooth the rotation pattern of the rotor. A shape…

Optimization and Control · Mathematics 2018-10-26 Peter Gangl , Ulrich Langer , Antoine Laurain , Houcine Meftahi , Kevin Sturm

We present a finite-difference method for the topology optimization of permanent magnets that is based on the FFT accelerated computation of the stray-field. The presented method employs the density approach for topology optimization and…

Computational Physics · Physics 2017-10-11 Claas Abert , Christian Huber , Florian Bruckner , Christoph Vogler , Gregor Wautischer , Dieter Suess

We use the Hopf mapping to construct a magnetic configuration consisting of closed field lines, each of which is linked with all the other ones. We obtain in this way a solution of the equations of magnetohydrodynamics of an ideal…

Plasma Physics · Physics 2007-05-23 A. M. Kamchatnov

Topological magnons, quantized spin waves featuring nontrivial boundary modes, present a promising route toward lossless information processing. Realizing practical devices typically requires magnons excited in a controlled manner to enable…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Xueqing Wan , Quanchao Du , Jinlian Lu , Zhenlong Zhang , Jinyang Ni , Lei Zhang , Zhijun Jiang , Laurent Bellaiche

The aim of this work is to proceed with the development of a model of topological electromagnetism in empty space, proposed by one of us some time ago and based on the existence of a topological structure associated with the radiation…

Classical Physics · Physics 2014-08-05 A. F. Ranada , A. Tiemblo

This work deals with shape optimization of electric machines using isogeometric analysis. Isogeometric analysis is particularly well suited for shape optimization as it allows to easily modify the geometry without remeshing the domain. A…

Computational Engineering, Finance, and Science · Computer Science 2021-06-03 Melina Merkel , Peter Gangl , Sebastian Schöps

We present a density based topology optimization approach for the design of metallic microwave insert filters. A two-phase optimization procedure is proposed in which we, starting from a uniform design, first optimize to obtain a set of…

Classical Physics · Physics 2016-09-09 Niels Aage , Villads Egede Johansen

This paper presents analytical modeling and design of a high-acceleration, low-vibration slotless double-sided linear motor with an arbitrary Halbach array for lithography machines used in semiconductor manufacturing technology. Amperian…

Systems and Control · Electrical Eng. & Systems 2024-11-01 Sajjad Mohammadi , Jeffrey H. Lang , James L. Kirtley , David L. Trumper

The Hofstadter problem is the lattice analog of the quantum Hall effect and is the paradigmatic example of topology induced by an applied magnetic field. Conventionally, the Hofstadter problem involves adding $\sim 10^4$ T magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Jonah Herzog-Arbeitman , Zhi-Da Song , Nicolas Regnault , B. Andrei Bernevig

The Halbach cylinder is a construction of permanent magnets used in applications such as nuclear magnetic resonance apparatus, accelerator magnets and magnetic cooling devices. In this paper the analytical expression for the magnetic vector…

Classical Physics · Physics 2014-09-08 R. Bjørk , C. R. H. Bahl , A. Smith , N. Pryds

The interplay between magnetism and band topology is a focus of current research on magnetic topological systems. Based on first-principle calculations and symmetry analysis, we reveal multiple intriguing topological states can be realized…

We demonstrate the occurrence of a topological phase transition induced by an effective magnetic field in a two-dimensional electron gas with spin-orbit coupling and in proximity to an $s$-wave superconductor. The effective, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 Paul Wenk , Milena Grifoni , John Schliemann

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

Optimization and Control · Mathematics 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

The magnetic skyrmion structure can be formed in the chiral magnets (CMs) with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way of artificially tailoring the topological details of the skyrmion such as its radial…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Yin-Yan Zhang , Rui Zhu

We propose theoretically a reconfigurable two-dimensional (2D) hexagonal sonic crystal with higher-order topology protected by the six-fold, $C_6$, rotation symmetry. The acoustic band gap and band topology can be controlled by rotating the…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Zhi-Kang Lin , Shi-Qiao Wu , Hai-Xiao Wang , Jian-Hua Jiang

The magnetization evolution of the free layer in an orthogonal spin-torque device is studied based on a macrospin model. The trajectory of magnetization vector under various conditions has shown rich nonlinear properties. The phase diagram…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Yuan Hui , Zheng Yang , Hao Yu