### Abstract

We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R_{2} with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N= 1 and N =2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are con-trusted with those of the gauged CP^{1} solitons.

Original language | English (US) |
---|---|

Pages (from-to) | 5239-5244 |

Number of pages | 6 |

Journal | Physical Review B |

Volume | 54 |

Issue number | 8 |

State | Published - 1996 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*54*(8), 5239-5244.

**Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model.** / Arthur, K.; Tchrakian, D. H.; Yang, Yisong.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 54, no. 8, pp. 5239-5244.

}

TY - JOUR

T1 - Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model

AU - Arthur, K.

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996

Y1 - 1996

N2 - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N= 1 and N =2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are con-trusted with those of the gauged CP1 solitons.

AB - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N= 1 and N =2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are con-trusted with those of the gauged CP1 solitons.

UR - http://www.scopus.com/inward/record.url?scp=33751193892&partnerID=8YFLogxK

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M3 - Article

VL - 54

SP - 5239

EP - 5244

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 8

ER -