“…At absolute zero, superconducting current can flow without any loss (i.e., at zero voltage) up to a critical current , corresponding to the maximum pinning strength. However, at finite temperature, thermal activation can cause "flux creep" of vortices down the macroscopic fluxon density gradient (actually a small amount of creep can occur even at absolute zero because of quantum tunneling of vortices, observed in HTS materials) [19]- [21]. In most materials with random microstructural defects, the vortex structure is disordered or glassy in nature, and vortex glass theory predicts that flux creep gives rise to a voltage-current relationship, where is called the "index value" [20], [21].…”