Modeling of dc SQUIDs With Topologically Nontrivial Barriers

Abstract

We study the behavior of DC-SQUIDs with topologically nontrivial barriers and compare the results with the trivial case. The current voltage characteristics and critical current as a function of the external magnetic flux for the dc SQUID with trivial and nontrivial barriers is calculated. We have shown the shift of the so-called beating solutions at the resonance frequency of DC-SQUID with nontrivial barriers. We find that increasing the number of Josephson junctions N reduces the size of the voltage steps, with the effect more pronounced in the case of SQUIDs containing nontrivial barriers. Therefore, tuning N constitutes a convenient way of changing the junction parameter βc , which can in turn be used to optimize the Majorana character of SQUIDS. These results are important from the experimental perspective since they provide a way of detecting and manipulating the Majorana bound states.