Author(s):

Authors: Zhen Gao, Wei-Jiang Gong

We discuss the change of the Kondo effect in the Josephson junction formed by

the indirect coupling between a one-dimensional \emph{DIII}-class topological

and s-wave superconductors via a quantum dot. By performing the

Schrieffer-Wolff transformation, we find that the single-electron occupation in

the quantum dot induces various correlation modes, such as the Kondo and

singlet-triplet correlations between the quantum dot and the $s$-wave

superconductor and the spin exchange correlation between the dot and Majorana

doublet. Moreover, it plays a nontrivial role in modifying the Josephson

effect, leading to the occurrence of anisotropic and high-order Kondo

correlation. In addition, due to the quantum dot in the Kondo regime, extra

spin exchange correlations contribute to the Josephson effect as well.

Nevertheless, if the \emph{DIII}-class topological superconductor degenerates

into \emph{D}-class because of the destruction of time-reversal invariance, all

such terms will disappear completely. We believe that this work shows the

fundamental difference between the \emph{D}- and \emph{DIII}-class topological

superconductors.

link to article (opens in new tab)

## Recent Comments