Invariant Magnetic Vector Potential in the Mercury Based HighTemperature Superconductor and Its Prospective Technological Application

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.