Abstract:
Magnetic vector potential, A has great importance in various superconducting phenomena such as Aharonov-Bohm
effect, Josephson effect, SQUID applications etc. due to the fact that A is directly related to the phase difference in the
superconducting system. In this work, magnetic vector potential value has been calculated numerically for the optimally oxygen
doped HgBa2Ca2Cu3O8+x mercury cuprate superconductor via interlayer theory at low temperatures by using magnetization versus
applied magnetic field data. It has been surprisingly determined that regardless of the temperature variation; the quantity of
magnetic vector potential remains unchanged. In this context, it has been determined that magnetic vector potential is an
invariant parameter of the system investigated. Moreover, momentum conserving interlayer tunneling i.e. coupling between
superconducting copper oxide layers for a low-temperature interval of 3K-5K has been proved for the first time. Hence, invariant
magnetic vector potential corresponds to the concept of the constant phase difference. Ultimately, this work gives a reliable
method for deciding about working temperature interval for technologists who want to design an intrinsic phase detector which
has the property of constant phase difference.
