Abstract

We have performed a finite-temperature (T) dynamic simulation to calculate transport properties of a two-dimensional (2D) frustrated Josephson-coupled lattice as a model of high-${\mathit{T}}_{\mathit{c}}$ superconductors in magnetic fields (H/${\mathit{H}}_{\mathit{c}2}$\ensuremath{\ll}1). In the weak-frustration region the I-V characteristics and magnetoresistance obey coexisting power laws with continuously varying exponents, V\ensuremath{\propto}${\mathit{I}}^{\mathrm{\ensuremath{\alpha}}(\mathit{T},}$${\mathit{H}}^{)}$ and V\ensuremath{\propto}${\mathit{H}}^{\mathrm{\ensuremath{\beta}}(\mathit{T},}$${\mathit{I}}^{)}$. These field-dependent nonlinear resistive behaviors are analogous to experimentally observed ones in single crystals of high-${\mathit{T}}_{\mathit{c}}$ oxides, and they are ascribed to the frustration-induced unbinding mechanism of 2D vortex-antivortex pairs. A possible Kosterlitz-Thouless vortex-antivortex unbinding transition in magnetic fields is also addressed based on the temperature dependence of power-law exponents.

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