We theoretically study Josephson junctions with a transition metal dichalcogenide zigzag ribbon as a weak link. We demonstrate that the spatial profile of the supercurrent carried by the edge modes determines the critical current dependence on the perpendicular magnetic field. We explore this finding and analyze the impact of Zeeman interaction and the orbital effects of the magnetic field on the Andreev bound states energies. We show that the unequal Fermi velocities of the spin-opposite edge modes lead to an anomalous shift of the Andreev bound states in the presence of the magnetic field. This is manifested in a pronounced modification of the SQUID critical current oscillations when two opposite edges of the ribbon are conducting and can be exploited in order to reveal the anomalous phase shift of the Andreev bound states in a single Josephson junction device.

中文翻译：

---

由于边缘态的非抛物线色散，过渡金属二硫代二恶英约瑟夫逊结中的SQUID模式破坏

我们从理论上研究了约瑟夫森结，其中过渡金属二卤化锌之字形带为弱连接。我们证明，边缘模式所携带的超电流的空间分布决定了临界电流对垂直磁场的依赖性。我们探索这一发现并分析塞曼相互作用的影响以及磁场对Andreev束缚态能量的轨道效应。我们表明，自旋相反边缘模式的费米速度不相等会导致在存在磁场的情况下，安德烈耶夫束缚态的反常位移。