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Phys. Rev. B 65, 172416 (2002) [4 pages]

Interacting domain walls in an easy-plane ferromagnet

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W. M. Liu1,2,3, B. Wu2, X. Zhou4, D. K. Campbell5, S. T. Chui3, and Q. Niu2
1National Laboratory of Magnetism, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
2Department of Physics, University of Texas, Austin, Texas 78712
3Bartol Research Institute, University of Delaware, Newark, Delaware 19716
4Department of Mathematics, Duke University, Durham, North Carolina 27706
5College of Engineering, Boston University, Boston, Massachusetts 02215

Received 14 November 2001; revised 15 January 2002; published 6 May 2002

The Landau-Lifshitz equation for an anisotropic (easy-plane) ferromagnet is formulated as a Riemann-Hilbert problem on a Riemann surface of the spectral parameter. Exact multiple domain wall solutions can be obtained in a systematic and exhaustive manner by considering all possible pole arrangements on the Riemann surface. Explicit calculations for up to four poles have been carried out, yielding all possible double wall solutions, including states of colliding walls, breather modes of bound walls, and a set of solutions corresponding to marginally bound walls.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.65.172416
DOI:
10.1103/PhysRevB.65.172416
PACS:
75.60.Ch, 02.30.Jr, 02.60.Lj, 05.45.Yv
 
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