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The present work is a theoretical study of the electronic properties of pristine and alloyed double metal rings threaded by magnetic flux in the presence of transverse flux. The system that takes into account in the study is consisting of two rings connected in parallel, with the same type of atomic sites for pristine double metal ring, and with two different types of atomic sites for an alloyed double metal ring. The tight-binding method was used to calculate the energy spectrum and persistent current in presence of transverse flux. Our results show that the transverse flux causes bending of the persistent current and increase in current amplitude at the pristine double metal ring, while it leads to asymmetry at alloyed double metal ring. The energy gap is not affected by the transverse flux.

Theoretical study of electronic properties for pristine and alloyed double metal rings