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Recently, topologically nontrivial polarization textures have been predicted and observed in nanoscale systems. While these polarization textures are interesting and promising in terms of applications, their topology in general is yet to be…

Topological spin and polar textures have fascinated people in different areas of physics and technologies. However, the observations are limited in magnetic and solid-state ferroelectric systems. Ferroelectric nematic is the first…

Soft Condensed Matter · Physics 2022-12-22 Jidan Yang , Yu Zou , Wentao Tang , Jinxing Li , Mingjun Huang , Satoshi Aya

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

Materials Science · Physics 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

Polarization singularities and topological polarization structures are generic features of inhomogeneous vector wave fields of any nature. However, their experimental studies mostly remain restricted to optical waves. Here we report…

Polar metals, materials in which electric polarisation and metallicity coexist, are exceptionally rare because itinerant electrons screen long-range dipoles and favour centrosymmetric structures. Engineering polar textures in a conducting…

Following the recent interest in van der Waals (vdW) ferroelectrics, topologically nontrivial polar structures have been predicted to form in twisted bilayers. However, these structures have proven difficult to observe experimentally. We…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Aneesh Agarwal , Wojciech J. Jankowski , Daniel Bennett , Robert-Jan Slager

Topological polar textures in ferroelectrics have attracted significant interest for their potential for energy-efficient and high-density data storage and processing. Among these, polar merons and antimerons are predicted in strained and…

A powerful result of topological band theory is that nontrivial phases manifest obstructions to constructing localized Wannier functions. In Chern insulators, it is impossible to construct Wannier functions that respect translational…

Mesoscale and Nanoscale Physics · Physics 2022-08-11 Todd Van Mechelen , Robert-Jan Slager , Sathwik Bharadwaj , Zubin Jacob

Skyrmionic patterns of optical fields have recently emerged across diverse photonic platforms. Here, we show that such textures also arise in the polarization eigenstates of light propagation through flat dielectric devices with an…

Optics · Physics 2025-10-13 Francesco Di Colandrea , Lorenzo Marrucci , Filippo Cardano

Surface states of topological noncentrosymmetric superconductors exhibit intricate helical spin textures, i.e., the spin orientation of the surface quasiparticles is coupled to their momentum. Using quasiclassical theory, we study the spin…

Superconductivity · Physics 2015-01-19 P. M. R. Brydon , Andreas P. Schnyder , Carsten Timm

Finding stimuli capable of driving an imbalance of spin-polarised electrons within a solid is the central challenge in the development of spintronic devices. However, without the aid of magnetism, routes towards this goal are highly…

Materials Science · Physics 2022-09-08 Oliver J. Clark , Oliver Dowinton , Mohammad Saeed Bahramy , Jaime Sánchez-Barriga

We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $\pi$-conjugated chains as representative model…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Wojciech J. Jankowski , Robert-Jan Slager , Michele Pizzochero

Halide perovskites are perceived to be the promising class of materials for optoelectronics, spinorbitronics and topological electronics due to presence of strong spin-orbit coupling and polarized field. Here, we develop a Hamiltonian using…

Materials Science · Physics 2022-02-02 Mayank Gupta , B. R. K. Nanda

Polar metals, commonly defined by the coexistence of polar crystal structure and metallicity, are thought to be scarce because the long-range electrostatic fields favoring the polar structure are expected to be fully screened by the…

Polar topological textures like the bubble domains, flux--closures, and labyrinth etc., unlock functional responses in ferroic systems but are difficult to stabilize and control in chemically simple, solution--grown materials. Here we show…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Monika Bhakar , Pooja Bhardwaj , Gokul M. Anilkumar , Atikur Rahman , Goutam Sheet

Polar topological textures in ferroelectrics can host internal structure beyond a single integer topological charge. Here, effective-Hamiltonian molecular-dynamics simulations are used to examine whether such internal fractional topology…

Materials Science · Physics 2026-05-21 Florian Mayer

In the early 2000s, low dimensional systems were predicted to have topologically nontrivial polar structures, such as vortices or skyrmions, depending on mechanical or electrical boundary conditions. A few variants of these structures have…

(Electric) polarization tensors describe part of the leading order term of asymptotic voltage perturbations caused by low volume fraction inhomogeneities of the electrical properties of a medium. They depend on the geometry of the support…

Analysis of PDEs · Mathematics 2015-09-25 Roland Griesmaier , Martin Hanke

Nanoscale polar structures are significant for understanding polarization processes in low-dimensional systems and hold potential for developing high-performance electronics. Here, we demonstrate a polar vortex superstructure arising from…

A complete understanding of the mechanisms for dielectric relaxation in relaxor ferroelectrics remains elusive. We used a structural refinement framework that integrates several types of experimental data to identify the nanoscale…

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