Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli

Abstract

The mixed-state resistive response of a superconductor thin film with an asymmetric washboard pinning potential subject to superimposed dc and ac currents of arbitrary amplitudes and frequency at finite temperature is theoretically investigated. The problem is considered in the single-vortex approximation, relying upon the exact solution of the Langevin equation in terms of a matrix continued fraction. The dc voltage response and the absorbed power in ac response are analyzed as functions of dc bias, ac current amplitude and frequency, in a wide range of corresponding dimensionless parameters. Predictions are made of (i) a reversal of the rectified voltage at small dc biases and strong ac drives and (ii) a non-monotonic enhancement of the absorbed power in the nonlinear ac response at far sub-depinning frequencies. It is elucidated how and why both these effects appear due to the competition of the fixed internal and the tunable, dc bias-induced external asymmetry of the potential as the only reason. This is distinct from other scenarios used for explaining the vortex ratchet reversal effect so far.

12 pages, 9 figures

References in corpus (12)

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• Pinning effects on self-heating and flux-flow instability in superconducting films near $T_c$
• Transverse ac Driven and Geometric Ratchet Effects for Vortices in Conformal Crystal Pinning Arrays
• Time-Dependent Ginzburg-Landau Simulations of Superconducting Vortices in Three Dimensions
• Fast Dynamics of Vortices in Superconductors
• ${}^4$He sample probe for combined microwave and dc transport measurements
• Collective Dynamics and Defect Generation for Wigner Crystal Ratchets
• Zero-bias Shapiro steps in asymmetric pinning nanolandscapes
• Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates