Modification of Majorana leakage effect due to the presence of quantum interference

Abstract

This study delves into the Majorana leakage effect modified by the quantum interference, by coupling one Majorana zero mode (MZM) simultaneously to two dots in a double-quantum-dot Aharonov-Bohm interferometer device. Our findings reveal that the Majorana leakage effect significantly diverges from the single-dot case, predominantly influenced by the symmetry properties of the arms of the interferometer. Remarkably, with identical arms, the Majorana leakage effect halves the low-bias conductance magnitude for magnetic flux phase factor $\varphi \ne 2n\pi$ ($n\in \mathrm{Integer}$). In contrast, when inter-arm symmetry is disrupted, this halving phenomenon is restricted to instances where $\varphi =2n\pi$, accompanied by a $4\pi$-periodic variation in low-bias conductances. Consequently, the Majorana leakage effect is intricately tied to the quantum interference patterns, offering insights into the quantum coherence and transport in hybrid superconducting systems.