Description of Resistive Behavior near a Quantum Vortex - Glass Transition

Resistive behaviors at nonzero temperatures (T > 0) reflecting a quantum vortex-glass (VG) transition (the so-called field-tuned superconductor-insulator transition at T = 0) are studied based on a quantum Ginzburg-Landau (GL) action for a s-wave pairing case containing microscopic details. The ordinary dissipative dynamics of the pair-field is assumed on the basis of a consistency between the fluctuation conductance terms excluded from GL approach and an observed negative magnetoresistance. It is shown that the VG contribution, Gvg(B = Bvg, T → 0), to 2D fluctuation conductance at the VG transition field Bvg depends on the strength of a repulsive-interaction between electrons and takes a universal value only in the ordinary dirty limit neglecting the electron-repulsion. Available resistivity data near Bvg are discussed based on our results, and extensions to the cases of a d-wave pairing and of 3D systems are briefly commented on.