• Title, Summary, Keyword: topological soliton

Search Result 2, Processing Time 0.028 seconds

Magnetic-vortex Dynamic Quasi-crystal Formation in Soft Magnetic Nano-disks

  • Kim, Junhoe;Kim, Sang-Koog
    • Journal of Magnetics
    • /
    • v.22 no.1
    • /
    • pp.29-33
    • /
    • 2017
  • We report a micromagnetic numerical study on different quasi-crystal formations of magnetic vortices in a rich variety of dynamic transient states in soft magnetic nano-disks. Only the application of spin-polarized dc currents to a single magnetic vortex leads to the formation of topological-soliton quasi-crystals composed of different configurations of skyrmions with positive and negative half-integer numbers (magnetic vortices and antivortices). Such topological object formations in soft magnets, not only in the absence of Dzyaloshinskii-Moriya interaction but also without magnetocrystalline anisotropy, are discussed in terms of two different topological charges, the winding number and the skyrmion number. This work offers an insight into the dynamic topological-spin-texture quasi-crystal formations in soft magnets.

ON A CLASS OF COMPLETE NON-COMPACT GRADIENT YAMABE SOLITONS

  • Wu, Jia-Yong
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.3
    • /
    • pp.851-863
    • /
    • 2018
  • We derive lower bounds of the scalar curvature on complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that potential functions of Yamabe solitons have at most quadratic growth for distance function. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.