In the present work, we will study the effect that the surface roughness of the sample has on the magnetic and thermodynamic properties in a mesoscopic superconducting meso-square under an external magnetic field in a zero-field cooling process. We will analyze the magnetization, superconducting electronic density, free Gibbs energy, specific heat and entropy as a function of the roughness of the sample in a superconducting two-band square taking a Josephson type inter-band coupling. We show that the magnetic and thermodynamic properties depend on the roughness percentage of its surface. Our investigation was carried out by numerically solving the two-band time-dependent Ginzburg–Landau equations.

在目前的工作中，我们将研究样品的表面粗糙度对零场冷却过程中在外部磁场下的细观超导细观正方形的磁性和热力学性质的影响。我们将分析磁化强度、超导电子密度、自由吉布斯能、比热和熵作为样本粗糙度的函数，在采用约瑟夫森型带间耦合的超导双波段正方形中。我们表明磁性和热力学特性取决于其表面的粗糙度百分比。我们的研究是通过数值求解双波段时间相关的 Ginzburg-Landau 方程来进行的。