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Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation
Affiliation:1. Dipartimento di Fisica “Ettore Pancini”, Università di Napoli “Federico II”, Complesso Universitario di Monte S. Angelo, via Cintia, I-80126 Napoli, Italy;2. INFN - Sezione di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, I-80126 Napoli, Italy;1. Instituto Andaluz de Ciencias de la Tierra, CSIC–Universidad de Granada, E-18100 Armilla, Granada, Spain;2. Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, Spain;3. École Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland;4. Departamento de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain;5. Mediterranean Institute for Advanced Studies, CSIC–Universitat de les Illes Balears, E-07190 Mallorca, Spain;1. Facultad de Ciencias Físicas, Universidad Nacional Mayor de San Marcos, Lima, Peru;2. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro 22290-180, RJ, Brazil;3. Departamento de Física, Universidade Federal do Espírito Santo, Vitória 29075-910, Brazil;4. Institut für Physik der Kondensierten Materie, Technische Universität Braunschweig, Braunschweig, Germany;1. Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375, United States;2. ETH Zürich, Zürich, Switzerland
Abstract:Vortex-type singular solutions with a topological charge of the elliptic sine-Gordon equation have been studied. One- and two-dimensional vortex lattices on a homogeneous and periodic background are constructed in the explicit form using the Bäcklund transformation. The interaction of vortices is investigated and finite energy configurations are found. On the basis of the obtained results new topological defects in incommensurate magnetic and crystal structures are predicted and described. The interaction of vortex magnetic structures with nonlinear spin waves is considered.
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