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We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

An alternative approach to the derivation of the force on a vortex based in an adiabatic approximation in the action of the superfluid system is developed. Assuming that the vortex motion is relatively slow compared with the characteristic…

Condensed Matter · Physics 2007-05-23 C. Wexler , D. J. Thouless

Vortices confined to superconducting easy flow channels with periodic constrictions exhibit reversible oscillations in the critical current at which vortices begin moving as the external magnetic field is varied. This commensurability…

Superconductivity · Physics 2010-05-21 K. Yu , M. B. S. Hesselberth , P. H. Kes , B. L. T. Plourde

Here we report a study of vortex states in a thin superconducting film with a magnetic dot grown upon it by means of a method based on London-Maxwell equations. Vortices with single quantum flux ($\Phi_0 = h c / 2 e$), giant vortices…

Superconductivity · Physics 2009-11-11 Serkan Erdin

We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase…

Other Condensed Matter · Physics 2009-11-13 Kenichi Kasamatsu , Makoto Tsubota

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component…

Superconductivity · Physics 2015-07-22 R. M. da Silva , M. V. Milošević , D. Domínguez , F. M. Peeters , J. Albino Aguiar

After delineating the physical regimes which vortex lattices encounter in rotating Bose-Einstein condensates as the rotation rate, $\Omega$, increases, we derive the normal modes of the vortex lattice in two dimensions at zero temperature.…

Soft Condensed Matter · Physics 2009-11-10 Gordon Baym

We study vortex pattern formation in thin ferromagnetic films under the action of strong spin-polarized currents. Considering the currents which are polarized along the normal of the film plane, we determine the critical current above which…

Strongly Correlated Electrons · Physics 2013-05-30 Yuri Gaididei , Oleksii M. Volkov , Volodymyr P. Kravchuk , Denis D. Sheka

The discrete vortex lattices in a ferromagnet/superconductor bilayer are studied when the ferromagnet has periodic stripe domains with an out-of-plane magnetization. The vortices are assumed to be situated periodically on chains in the…

Superconductivity · Physics 2009-11-11 Serkan Erdin

We report a new reversal mechanism of magnetic vortex cores in nanodot elements driven by out-of-plane currents, occurring through two coupled edge-solitons via dynamic transformations between magnetic solitons of different topological…

Materials Science · Physics 2011-08-12 Ki-Suk Lee , Myoung-Woo Yoo , Youn-Seok Choi , Sang-Koog Kim

Superfluids with strong spatial modulation can be experimentally produced in the area of cold atoms under the influence of optical lattices. Here we address $^{87}$Rb bosons at T=0 K in a flat geometry under the influence of a periodic…

Quantum Gases · Physics 2024-06-18 Francesco Ancilotto , Luciano Reatto

We present a method for numerically building a vortex knot state in the superfluid wave-function of a Bose-Einstein condensate. We integrate in time the governing Gross-Pitaevskii equation to determine evolution and stability of the two…

Fluid Dynamics · Physics 2012-03-22 Davide Proment , Miguel Onorato , Carlo F. Barenghi

We study theoretically dynamical phases of vortices in superconducting films with arrays of obstacles. By performing a series of molecular dynamics simulations and analytical calculations, we demonstrate the existence of a phase of…

Superconductivity · Physics 2011-07-11 Rogério M. da Silva , Clécio C. de Souza Silva

We study a vortex in a nanostripe of an antiferromagnet with easy-plane anisotropy and interfacial Dzyloshinskii-Moriya interaction. The vortex has hybrid chirality being N\'eel close to its center and Bloch away from it. Propagating…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Riccardo Tomasello , Stavros Komineas

We consider a singly quantized off-axis straight vortex in a rotating dipolar ultracold gas in the Thomas-Fermi (TF) regime. We derive analytic results for small displacements and perform numerical calculations for large displacement within…

Quantum Gases · Physics 2015-05-19 C. Yuce , Z. Oztas

Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

We investigate magnetic nano-pillars, in which two thin ferromagnetic nanoparticles are separated by a nanometer thin nonmagnetic spacer and can be set into stable spin vortex-pair configurations. The 16 ground states of the vortex-pair…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 S. S. Cherepov , B. C. Koop , V. Korenivski , D. C. Worledge , A. Yu. Galkin , R. S. Khymyn , B. A. Ivanov

The phase diagram of lowest-energy vortices in the polar phase of spin-1 Bose--Einstein condensates is investigated theoretically. Singly quantized vortices are categorized by the local ordered state in the vortex core and three types of…

Quantum Gases · Physics 2021-08-04 Hiromitsu Takeuchi

The half antivortex, a fundamental topological structure which determines magnetization reversal of submicron magnetic devices with domain walls, has been suggested also to play a crucial role in spin torque induced vortex core reversal in…

Mesoscale and Nanoscale Physics · Physics 2015-01-23 Antonio Lara , Oleksandr V. Dobrovolskiy , José L. Prieto , Michael Huth , Farkhad G. Aliev

We derive viscous forces for vortices in a thin-film ferromagnet. The viscous force acting on vortex $i$ is a linear superposition $\mathbf F_i = - \sum_{j} \hat{D}_{ij} \mathbf V_j$, where $\mathbf V_j$ is the velocity of vortex $j$.…

Mesoscale and Nanoscale Physics · Physics 2018-06-01 Derek Reitz , Anirban Ghosh , Oleg Tchernyshyov
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