涡旋数控制的科贝诺结中的约瑟夫森二极管极性
Vortex-Number-Controlled Josephson Diode Polarity in Corbino Junctions
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中文总结 AI 辅助
研究通过求解连续安德列夫谱问题，发现科贝诺约瑟夫森结中约瑟夫森二极管效应极性可由涡旋数确定性控制，此机制能重塑高阶约瑟夫森电流谐波幅度和相位，数值模拟证实其鲁棒性。
中文摘要 AI 辅助
我们证明了科贝诺约瑟夫森结中约瑟夫森二极管效应的极性可以由涡旋数确定性地控制，这是结构化空间不均匀性的一般结果。通过解决连续安德列夫谱问题，我们确定了一种机制，其中涡旋数选择性地过滤局部不均匀性的特定空间傅里叶谐波。这种谐波选择重塑了高阶约瑟夫森电流谐波的幅度和相对相位，最终扭转了临界电流不对称性。有效一维边缘模型和完整二维晶格模型的数值模拟证实了这种机制的稳健性。至关重要的是，我们的结果表明，二极管极性的涡旋奇偶性依赖性反转不是马约拉纳物理的唯一特征，而是可以从科贝诺结中的几何和结构不均匀性中普遍出现。
英文摘要
We demonstrate that the polarity of the Josephson diode effect in Corbino Josephson junctions can be deterministically controlled by the Josephson-vortex number, which arises as a generic consequence of structured spatial inhomogeneity. By solving the continuum Andreev spectral problem, we identify a mechanism in which the vortex number selectively filters specific spatial Fourier harmonics of the local inhomogeneity. This harmonic selection reshapes the amplitudes and relative phases of higher-order Josephson current harmonics, ultimately reversing the critical-current asymmetry. Numerical simulations of both an effective one-dimensional edge model and full two-dimensional lattice models confirm the robustness of this mechanism. Crucially, our results show that a vortex-parity-dependent reversal of diode polarity is not an exclusive signature of Majorana physics, but can emerge generically from geometric and structural inhomogeneities in Corbino junctions.
