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The Hamiltonian of a two dimensional (2D) magnetic material in the strong correlation regime with a spin texture, for which both azimuthal and polar angle changes, is solved using $su(2)$ path integral method. The dependence of the Chern…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Kaushal Kumar Kesharpu

We study a robust topological transport carried by vortices in a thin film of an easy-plane ferromagnetic insulator between two metal contacts. A vortex, which is a nonlocal topological spin texture in two-dimensional magnets, exhibits some…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Ji Zou , Se Kwon Kim , Yaroslav Tserkovnyak

A superconducting rod with a magnetic moment on top develops vortices obtained here through 3D calculations of the Ginzburg-Landau theory. The inhomogeneity of the applied field brings new properties to the vortex patterns that vary…

Superconductivity · Physics 2015-05-14 Antonio R. de C. Romaguera , Mauro M. Doria , F. M. Peeters

Magnetic skyrmions with its topologically protected, nano-sized spin textures have already earned immense fame as information carriers due to their stability and low-current mobility. While ferromagnetic skyrmions suffer from a transverse…

Strongly Correlated Electrons · Physics 2025-07-01 Rajdip Banerjee , Satyaki Kar

We examine spin vortices in ferromagnetic quantum Heisenberg models with planar anisotropy on two-dimensional lattices. The symmetry properties and the time evolution of vortices built up from spin-coherent states are studied in detail.…

Condensed Matter · Physics 2007-05-23 John Schliemann , Franz G. Mertens

Vortex, the winding of a vector field in two dimensions, has its core the field singularity and its topological charge defined by the quantized winding angle of the vector field. Vortices are one of the most fundamental topological…

Optics · Physics 2018-05-08 Yiwen Zhang , Ang Chen , Wenzhe Liu , Chia Wei Hsu , Fang Guan , Xiaohan Liu , Lei Shi , Ling Lu , Jian Zi

We present a study of a new class of exact solutions having a form of spiral vortices for an isotropic two-dimensional Heisenberg ferromagnet using a continuum theory and direct numerical simulations of the spin system on a square lattice.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. B. Borisov , I. G. Bostrem , A. S. Ovchinnikov

We focus on quantum systems that can be effectively described as a localized spin-$s$ particle subject to a static magnetic field coplanar to a coexisting elliptically rotating time-periodic field. Depending on the values taken on by the…

Statistical Mechanics · Physics 2021-06-01 Jesús Casado-Pascual , Lucas Lamata , Andrés A. Reynoso

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

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…

A common wisdom about quantum many-body systems is that emergent phases typically fall into either the Landau-Ginzburg paradigm or topological classifications. Experimentally realizing the intertwined emergence of spontaneous symmetry…

Quantum Gases · Physics 2025-07-04 Lei Chen , Bei-Bei Wang , Jianmin Yuan , Long Zhang , Jinsen Han , Yongqiang Li

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…

Dynamical topological solitons are studied in classical two-dimensional Heisenberg easy-axis ferromagnets. The properties of such solitons are treated both analytically in the continuum limit and numerically by spin dynamics simulations of…

Strongly Correlated Electrons · Physics 2007-05-23 Denis D. Sheka , Christian Schuster , Boris A. Ivanov , Franz G. Mertens

Circulating orbital currents produced by the spin-orbit interaction for a single electron spin in a quantum dot are explicitly evaluated at zero magnetic field, along with their effect on the total magnetic moment (spin and orbital) of the…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 J. van Bree , A. Yu. Silov , P. M. Koenraad , M. E. Flatté

In this paper, the interplay between spin wave and magnetic vortex is studied. We find three types of magnon scatterings: skew scattering, symmetric side deflection and back reflection, which associate with respectively magnetic topology,…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Zhongchen Gao , Feifei Wang , Xiangyong Zhao , Tao Wang , Jingguo Hu , Peng Yan

Radical revision on the conventional spacetime picture, illusion or emergent phenomenon, has been the focus of the speculations on the unified frameworks for fundamental interactions in nature. Compared to strong experimental credence to…

General Physics · Physics 2019-11-26 S C Tiwari

We have theoretically investigated transport properties of the classical Heisenberg antiferromagnet on the triangular lattice in which a binding-unbinding topological transition of $\mathbb{Z}_2$ vortices is predicted to occur at a finite…

Strongly Correlated Electrons · Physics 2020-01-31 K. Aoyama , H. Kawamura

We report the formation of a $\mathbb{Z}_2$ vortex crystal in the tetrahedral antiferromagnetic order on a triangular lattice. The noncoplanar tetrahedral state consists of four sublattices with spins oriented along the faces of a…

Strongly Correlated Electrons · Physics 2026-02-03 Tomoki Hirosawa , Alexander Mook , Maria Azhar

Motivated by recent experiments on the observation of room temperature skyrmions in a layered heterostructure and subsequent demonstration of topological Hall effect in the same system, we have studied a minimal model of itinerant electrons…

Strongly Correlated Electrons · Physics 2020-05-27 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

In the presence of spin-orbit coupling two branches of the energy spectrum of 2D electrons get shifted in the momentum space. Application of in-plane magnetic field causes the splitting of the branches in energy. When both, spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Rajesh K. Malla , M. E. Raikh