Regular Article - Solid State and Materials
Description of Shapiro steps on the potential energy surface of a Frenkel–Kontorova model Part I: The chain in a variable box
Mathematisches Institut, Universität Leipzig, PF 100920, 04009, Leipzig, Germany
2 Departament de Química Inorgànica i Orgànica, Secció de Química Orgànica, and Institut de Química Teòrica i Computacional, (IQTCUB), Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain
Accepted: 2 March 2021
Published online: 22 March 2021
We explain the vibrations of a Frenkel–Kontorova (FK) model under Shapiro steps by the action of an external alternating force. We demonstrate Shapiro steps for a case with soft ‘springs’ between an 8-particles FK chain. Shapiro steps start with a single jump over the highest in the global valley through the PES. They finish with doubled, and again doubled oscillations. We study in this part I a traditional FK model with periodic boundary conditions.
© The Author(s) 2021
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