https://doi.org/10.1140/epjb/s10051-021-00115-w
Regular Article - Solid State and Materials
Description of zero field steps on the potential energy surface of a Frenkel-Kontorova model for annular Josephson junction arrays
1
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
Received:
5
March
2021
Accepted:
5
May
2021
Published online:
20
May
2021
We explain the emergence of zero field steps (ZFS) in a Frenkel-Kontorova (FK) model for a 1D annular chain being a model for an annular Josephson junction array. We demonstrate such steps for a case with a chain of 10 phase differences. We necessarily need the periodic boundary conditions. We propose a mechanism for the jump from M fluxons to 
in the chain.
© The Author(s) 2021
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