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Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

We have investigated the formation of spin textures at the edges of quantum Hall systems for several ferromagnetic filling factors. The textures are driven by the same physics that leads to ``skyrmions'' in the bulk. For hard confinement…

Condensed Matter · Physics 2009-10-28 A. Karlhede , S. A. Kivelson , K. Lejnell , S. L. Sondhi

We investigate the general conditions to achieve the adiabatic charge and spin polarizations and quantized pumping in 2D magnetic insulators possessing inhomogeneous spin structures. In particular, we focus on the chiral ferrimagnetic…

Strongly Correlated Electrons · Physics 2015-05-30 Bohm-Jung Yang , Naoto Nagaosa

Cold atoms experiments offer invaluable information on superfluid dynamics, including decay cascades of topological defects. While the cascade properties are well established for Bose systems, our understanding of their behavior in Fermi…

Quantum Gases · Physics 2018-06-27 Gabriel Wlazłowski , Kazuyuki Sekizawa , Maciej Marchwiany , Piotr Magierski

A one-dimensional magnetophotonic crystal with a nonlinear defect placed either symmetrically or asymmetrically inside the structure is considered. Simultaneous effects of time-reversal nonreciprocity and nonlinear spatial asymmetry in the…

Optics · Physics 2012-07-03 Vladimir R. Tuz , Sergei V. Zhukovsky , Sergey L. Prosvirnin

We show that the presence of a localized curvilinear defect drastically changes magnetic properties of a thin perpendicularly magnetized ferromagnetic film. For a large enough defect amplitude a discrete set of equilibrium magnetization…

We analyze topological solitons in the noncommutative plane by taking a concrete instance of the quantum Hall system with the SU(N) symmetry, where a soliton is identified with a skyrmion. It is shown that a topological soliton induces an…

High Energy Physics - Theory · Physics 2009-11-11 Z. F. Ezawa , G. Tsitsishvili

We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show this is modeled by a nonlinear diffraction term in a nonlinear schroedinger type equation, in which the…

We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in…

A lattice of uniformly charged, infinitesimally thin, rods decorated with an ordered array of counterions exhibits anomalous behavior as the spacing between the rods is varied. In particular, the counterion lattice undergoes a sequence of…

Soft Condensed Matter · Physics 2009-11-07 Joseph Rudnick , David Jasnow

We present a continuative definition of topological charge to depict the polarization defects on any resonant diffraction orders in photonic crystal slab regardless they are radiative or evanescent. By using such a generalized definition,…

Optics · Physics 2023-11-01 Xuefan Yin , Takuya Inoue , Chao Peng , Susumu Noda

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…

Optical topologies in the form of Skyrmions have attracted significant interest of late, where their integer Skyrmion number has been shown to be robust to complex media. Here we create the first fractional Skyrmions by structuring light as…

Skyrmions, as quasiparticles with topological spin textures, has recently garnered great attention for both condensed matter and structured wave communities, promising next-generation large-density robust information technologies. However,…

Leveraging topological properties in the response of electromagnetic systems can greatly enhance their potential. Although the investigation of singularity-based electromagnetics and non-Hermitian electronics has considerably increased in…

In polarization optics, various topological constructs, namely Poincar\'e spheres of different orders, are used to represent uniform and structured polarization distributions. Similarly, there are also structured polarization optical…

Optics · Physics 2025-07-08 Mohammad Umar , P. Senthilkumaran

We have experimentally and theoretically shown that the circularly polarized beam bearing singly charged optical vortex propagating through a uniaxial crystal can be split after focusing into the radially and azimuthally polarized beams in…

Two-dimensional materials are a highly tunable platform for studying the momentum space topology of the electronic wavefunctions and real space topology in terms of skyrmions, merons, and vortices of an order parameter. Such textures for…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Wojciech J. Jankowski , Daniel Bennett , Aneesh Agarwal , Gaurav Chaudhary , Robert-Jan Slager

The effects of disorder on the robustness of topological magnon states of two-dimensional ferromagnetic skyrmions is investigated. It is diagnosed by evaluating a real space topological invariant, the bosonic Bott index (BI). The disorder…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 H. Diego Rosales , Roberto E. Troncoso

Magnetic skyrmions are swirling spin textures with topologically protected noncoplanarity. Recently, skyrmions with the topological number of unity have been extensively studied in both experiment and theory. We here show that a skyrmion…

Strongly Correlated Electrons · Physics 2018-10-24 Ryo Ozawa , Satoru Hayami , Yukitoshi Motome
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