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dc.contributor.author
Landa, Haggai
dc.contributor.author
Cormick, Maria Cecilia
dc.contributor.author
Morigi, Giovanna
dc.date.available
2021-07-29T18:42:41Z
dc.date.issued
2020-05-13
dc.identifier.citation
Landa, Haggai; Cormick, Maria Cecilia; Morigi, Giovanna; Static kinks in chains of interacting atoms; Molecular Diversity Preservation International; Condensed Matter; 5; 2; 13-5-2020; 1-8
dc.identifier.issn
2410-3896
dc.identifier.uri
http://hdl.handle.net/11336/137359
dc.description.abstract
We theoretically analyse the equation of topological solitons in a chain of particles interacting via a repulsive power-law potential and confined by a periodic lattice. Starting from the discrete model, we perform a gradient expansion and obtain the kink equation in the continuum limit for a power-law exponent n ≥ 1. The power-law interaction modifies the sine-Gordon equation, giving rise to a rescaling of the coefficient multiplying the second derivative (the kink width) and to an additional integral term. We argue that the integral term does not affect the local properties of the kink, but it governs the behaviour at the asymptotics. The kink behaviour at the center is dominated by a sine-Gordon equation and its width tends to increase with the power law exponent. When the interaction is the Coulomb repulsion, in particular, the kink width depends logarithmically on the chain size. We define an appropriate thermodynamic limit and compare our results with existing studies performed for infinite chains. Our formalism allows one to systematically take into account the finite-size effects and also slowly varying external potentials, such as for instance the curvature in an ion trap.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Molecular Diversity Preservation International
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FRENKEL
dc.subject
KONTOROVA
dc.subject
LONG
dc.subject
RANGE INTERACTIONS
dc.subject
SINE-GORDON KINK
dc.subject
TRAPPED IONS
dc.subject.classification
Física de los Materiales Condensados
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Static kinks in chains of interacting atoms
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-07-01T14:53:29Z
dc.journal.volume
5
dc.journal.number
2
dc.journal.pagination
1-8
dc.journal.pais
Suiza
dc.description.fil
Fil: Landa, Haggai. Université Paris-Saclay; Francia
dc.description.fil
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
dc.description.fil
Fil: Morigi, Giovanna. Universitat Saarland; Alemania
dc.journal.title
Condensed Matter
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2004.03823
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2410-3896/5/2/35
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.3390/condmat5020035
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