| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1842193 | Nuclear Physics B | 2013 | 14 Pages |
Abstract
We study Hopfions in the Faddeev–Skyrme model with potential terms on R2×S1R2×S1. Apart from the conventional Hopfions, there exist winding Hopfions, that is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1)U(1) modulus twisted P times along S1S1, having the Hopf charge PQ . We consider two kinds of potential terms, that is, the potential linear in the field and the ferromagnetic potential with two easy axes, and present stable solutions numerically. We also point out that a Q-lump carries the unit Hopf charge per the period in d=2+1d=2+1.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Michikazu Kobayashi, Muneto Nitta,