title: Kinks in the discrete sine-gordon model with kac-baker long-range interactions
abstract: We study effects of Kac-Baker long-range dispersive interaction (LRI) between particles on kink properties in the discrete sine-Gordon model. We show that the kink width increases indefinitely as the range of LRI grows only in the case of strong interparticle coupling. On the contrary, the kink becomes intrinsically localized if the coupling is under some critical value. Correspondingly, the Peierls-Nabarro barrier vanishes as the range of LRI increases for supercritical values of the coupling but remains finite for subcritical values. We demonstrate that LRI essentially transforms the internal dynamics of the kinks, specifically creating their internal localized and quasilocalized modes.
authors.affiliation: Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine and Department of Theoretical Physics of Palacky University, CZ-77207 Olomouc, Czech Republic.
authors.initials: SF
authors.lastname: Mingaleev
authors.initials: YB
authors.lastname: Gaididei
authors.initials: E
authors.lastname: Majernikova
authors.initials: S
authors.lastname: Shpyrko