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Breather mobility and the Peierls-Nabarro potential: brief review and recent progress
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-6708-1560
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, Faculty of Science & Engineering.
2015 (English)In: Quodons in Mica: nonlinear localized travelling excitations in crystals / [ed] Juan F. R. Archilla, Noé Jiménez, Victor J. Sánchez-Morcillo, Luis M. García-Raffi, Cham: Springer, 2015, 147-178 p.Chapter in book (Refereed)
Abstract [en]

The question whether a nonlinear localized mode (discrete soliton/breather) can be mobile in a lattice has a standard interpretation in terms of the Peierls-Nabarro (PN) potential barrier. For the most commonly studied cases, the PN barrier for strongly localized solutions becomes large, rendering these essentially immobile. Several ways to improve the mobility by reducing the PN-barrier have been proposed during the last decade, and the first part gives a brief review of such scenarios in 1D and 2D. We then proceed to discuss two recently discovered novel mobility scenarios. The first example is the 2D Kagome lattice, where the existence of a highly degenerate, flat linear band allows for a very small PN-barrier and mobility of highly localized modes in a small-power regime. The second example is a 1D waveguide array in an active medium with intrinsic (saturable) gain and damping, where exponentially localized, travelling discrete dissipative solitons may exist as stable attractors. Finally, using the framework of an extended Bose-Hubbard model, we show that while quantum fluctuations destroy the mobility of slowly moving, strongly localized classical modes, coherent mobility of rapidly moving states survives even in a strongly quantum regime

Place, publisher, year, edition, pages
Cham: Springer, 2015. 147-178 p.
, Springer Series in Materials Science, ISSN 0933-033X ; 221
National Category
Condensed Matter Physics
URN: urn:nbn:se:liu:diva-123926DOI: 10.1007/978-3-319-21045-2_6ISI: 000380538300006ISBN: 9783319210445 (Print)ISBN: 9783319210452 (online)OAI: diva2:893965
Swedish Research Council
Available from: 2016-01-13 Created: 2016-01-13 Last updated: 2016-08-26Bibliographically approved

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