Josephson effects between the Kitaev ladder superconductors

Abstract

The two-leg ladder system consisting of the Kitaev chains is known to exhibit a richer phase diagram than that of the single chain. We theoretically investigate the variety of the Josephson effects between the ladder systems. We consider the Josephson phase difference $\theta$ between these two ladder systems as well as the phase difference $\varphi$ between the parallel chains in each ladder system. The total energy of the junction at $T=0$ is calculated by a numerical diagonalization method as functions of $\theta$, $\varphi$, and also a transverse hopping $t_{\perp }$ in the ladders. We find that, by controlling $t_{\perp }$ and $\varphi$, the junction exhibits not only the fractional Josephson effect for the phase difference $\theta$, but also the usual 0-junction and even $\pi$-junction properties.

arXiv comment8 pages, 4 figures, contributions to SCES 2022

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