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<p>In this article, we demonstrate that the voltage-biased phase-slip center (PSC) can act as a direct equivalent (not merely an analogy) of the Josephson effect in Josephson junctions (JJs). We analyze the behavior of PSCs in the case when a constant voltage <i>V</i> is applied to the superconducting filament. The analysis is performed using finite element modeling on the basis of time-dependent Ginzburg–Landau (TDGL) equations. It reveals that the current in the filament oscillates with the Josephson frequency <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40509_2025_374_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="83" /> </InlineMediaObject> <EquationSource Format="TEX">\(\omega =2eV/\hbar \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ω</mi> <mo>=</mo> <mn>2</mn> <mi>e</mi> <mi>V</mi> <mo stretchy="false">/</mo> <mi>ħ</mi> </mrow> </math></EquationSource> </InlineEquation>. This fact may have important corollaries in practice.</p>

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Modeling-based prediction of current oscillation with the Josephson frequency in voltage-biased phase-slip center filaments

  • 期刊论文

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  • 发表日期：

    2025年9月25日

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  • Armen Gulian

摘要

In this article, we demonstrate that the voltage-biased phase-slip center (PSC) can act as a direct equivalent (not merely an analogy) of the Josephson effect in Josephson junctions (JJs). We analyze the behavior of PSCs in the case when a constant voltage V is applied to the superconducting filament. The analysis is performed using finite element modeling on the basis of time-dependent Ginzburg–Landau (TDGL) equations. It reveals that the current in the filament oscillates with the Josephson frequency \(\omega =2eV/\hbar \) ω = 2 e V / ħ . This fact may have important corollaries in practice.