Abstract

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 \(M+1\) in the chain.

Graphic abstract

中文翻译：

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环形约瑟夫森结阵列的Frenkel-Kontorova模型的势能面上的零场阶跃描述

摘要

我们解释了在一维环形链的Frenkel-Kontorova（FK）模型中零场阶跃（ZFS）的出现，该环形链是环形约瑟夫森结阵列的模型。对于具有10个相位差链的情况，我们演示了此类步骤。我们必须需要周期性的边界条件。我们提出了从链中的M个磁通跃迁到\（M + 1 \）的机制。

图形摘要