Transverse resistivity and Hall effect of d-wave superconductors with twin boundaries: Numerical solutions of time-dependent Ginzburg-Landau equations in the presence of thermal noise

Abstract

Taking into account thermal fluctuations, we solve numerically the time-dependent Ginzburg-Landau equations to study the role of twin boundaries on the transverse resistivity as well as Hall effect for a d-wave superconductor. In the presence of an external current parallel to the twin boundary, we observe that the twin boundary (TB) not only behaves as a pinning center, but also induces a negative component of transverse resistivity. A sign reversal may occur for the transverse resistivity and Hall signal, changing from negative to positive as the magnetic field increases. The increase of the strength of the TB can enhance the negative transverse resistivity, but will soon saturate at higher twin-boundary strengths. Only the antisymmetric part of the transverse resistivity is significantly affected by the normal-state off-diagonal conductivity, while the symmetric part may reflect a key role of the TB on the anisotropy.