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General topologically invariant microscopical expressions for quantum numbers of particle-like solitons ("skyrmions") are derived for a class of (2+1)D models. Skyrmions are either half-integer spin fermions with odd electric charge or…

Strongly Correlated Electrons · Physics 2011-04-21 Victor M. Yakovenko

The stability of nonstationary states of homogeneous spin-1 Bose-Einstein condensates is studied by performing Bogoliubov analysis in a frame of reference where the state is stationary. In particular, the effect of an external magnetic…

Quantum Gases · Physics 2013-09-17 H. Mäkelä , M. Johansson , M. Zelan , E. Lundh

Magnetic skyrmions have so far been treated as two-dimensional spin structures characterized by a topological winding number describing the rotation of spins across the skyrmion. However, in real systems with a finite thickness of the…

We study a strongly correlated spin-1 Bose gas in 2D space by using the projective construction. A spin-disordered superfluid state is constructed and proposed as a candidate competing with the conventional polar condensate when interaction…

Strongly Correlated Electrons · Physics 2007-05-23 W. Vincent Liu , Xiao-Gang Wen

A gaseous Bose-Einstein condensate (BEC) offers an ideal testing ground for studying symmetry breaking, because a trapped BEC system is in a mesoscopic regime, and situations exist under which symmetry breaking may or may not occur.…

Other Condensed Matter · Physics 2009-11-11 Masahito Ueda , Yuki Kawaguchi , Hiroki Saito , Rina Kanamoto , Tatsuya Nakajima

Spinor Bose Einstein condensates (BEC) can be realized nowadays using different atomic species of several spin values, offering unprecedented opportunities to scrutinize the underlying physics of its spin phase domains and of its quantum…

Quantum Gases · Physics 2024-02-08 E. Serrano-Ensástiga , F. Mireles

We investigate the spin tunnelling of spin-1 Bose-Einstein condensates in a linearly sweeping magnetic field with a mean-field treatment. We focus on the two typical alkali Bose atoms $^{87}Rb$ and $^{23}Na$ condensates and study their…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Guan-Fang Wang , Li-Bin Fu , Jie Liu

We consider the topological defects and spin structures of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) and dipole-dipole interaction (DDI) in a rotating harmonic plus quartic trap. The combined effects of SOC, DDI…

Quantum Gases · Physics 2020-10-27 Ning Su , Qingbo Wang , Jinguo Hu , Xianghua Su , Linghua Wen

It is known that if gauge conditions have Gribov zero modes, then topological symmetry is broken. In this paper we apply it to topological gravity in dimension $n \geq 3$. Our choice of the gauge condition for conformal invariance is…

High Energy Physics - Theory · Physics 2015-06-26 Akifumi Sako

We observe metastable localized spin configurations with topological charges ranging from $Q=-3$ to $Q=2$ in a (Pt$_{0.95}$Ir$_{0.05}$)/Fe bilayer on Pd$(111)$ surface by performing spin dynamics simulations, using a classical Hamiltonian…

We propose a method for systematically finding ground states of spinor Bose-Einstein condensates by utilizing symmetry properties of the system. By this method, we can find not only an inert state, whose symmetry is maximal in the manifold…

Quantum Gases · Physics 2011-11-17 Yuki Kawaguchi , Masahito Ueda

Two recently found coupled BPS submodels of the Skyrme model are further analyzed. Firstly, we provide a geometrical formulation of the submodels in terms of the eigenvalues of the strain tensor. Secondly, we study their thermodynamical…

High Energy Physics - Theory · Physics 2018-02-14 C. Adam , D. Foster , S. Krusch , A. Wereszczynski

Magnetic skyrmion crystals with zero net skyrmion charge and zero topological Hall response are interesting candidate phases which can occur at a vanishing magnetic field in centrosymmetric systems. We study a minimal bilayer model of…

Mesoscale and Nanoscale Physics · Physics 2025-08-11 Andrew Hardy , Anjishnu Bose , Tanmay Grover , Arun Paramekanti

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

The correct identification of topological magnetic objects in experiments is an important issue. In the present work we report on the characterization of metastable skyrmionic spin structures with various topological charges…

Materials Science · Physics 2017-07-19 Krisztián Palotás , Levente Rózsa , Eszter Simon , László Udvardi , László Szunyogh

Skyrmions are topological defects belonging to nontrivial homotopy classes in particle theory. Their remarkably stable topology has recently been observed in electromagnetic waves. For the evanescent fields near a surface, this has been…

We provide a derivation of a spin Skyrmion number classification for two-dimensional topological superconductors constructed from ferromagnetic and Rashba spin-orbit coupled semiconductor-superconductor heterostructures. We show that in the…

Superconductivity · Physics 2014-04-25 Kristofer Björnson , Annica M. Black-Schaffer

We summarize the recent theoretical and numerical works on spin turbulence (ST) in spin-1 spinor Bose-Einstein condensates. When the system is excited from the ground state, it goes through hy- drodynamic instability to ST in which the spin…

Quantum Gases · Physics 2015-06-18 Makoto Tsubota , Kazuya Fujimoto

We numerically study elongated helical spin textures in ferromagnetic spin-1 Bose-Einstein condensates subject to dipolar interparticle forces. Stationary states of the Gross-Pitaevskii equation are solved and analyzed for various values of…

Quantum Gases · Physics 2010-12-22 J. A. M. Huhtamäki , P. Kuopanportti

Magnetic skyrmion bags, as high-order topological swirling spin textures, offer rich fundamental physics and distinct advantages for spintronic applications; however, their realization remains a formidable challenge, especially in…

Materials Science · Physics 2026-02-25 Junhuang Yang , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma
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