The vortex soliton and its quantum tunneling in anisotropic superconductors in intermediate magnetic fields

Exact explicit soliton solutions are derived for two-coupled non-linear equ ations of motion relevant to vortex dynamics in anisotropic superconductors . The crossover temperature from quantum to classical behavior and Bose-gla ss exponent are expressed as a function of induction, but not as an explici t function of angle. The exponent has maximum value at accommodation field, separating a single-vortex regime from the collective pinning regime. The quantum magnetization relaxation rate is expressed in terms of pinning ener gy, angle, anisotropy, coupling constant, dissipation and glassy exponent. The results are qualitatively consistent with the experimental observations . (C) 2000 Elsevier Science B.V. All rights reserved.