论文标题
表面超导的几乎平坦角度
Almost Flat Angles in Surface Superconductivity
论文作者
论文摘要
已知II型超导性在存在强磁场的情况下持续靠近样品表面。结果，金茨堡 - 兰道理论中的基态能量通过有效的一维模型近似。如[CG2]所示，表面上的角落的存在会以非平凡的贡献影响样品的能量。在[CG2]中，如果得出了能量对角度开头的明确依赖性，但提出了对其形式的猜想，但提出了对角度开头的明确依赖。我们在这里研究了这样的猜想，并至少将其确认为几乎平坦的开头角落。
Type-II superconductivity is known to persist close to the sample surface in presence of a strong magnetic field. As a consequence, the ground state energy in the Ginzburg-Landau theory is approximated by an effective one-dimensional model. As shown in [CG2], the presence of corners on the surface affects the energy of the sample with a non-trivial contribution. In [CG2], the two-dimensional model problem providing the corner energy is implicitly identified and, although no explicit dependence of the energy on the corner opening angle is derived, a conjecture about its form is proposed. We study here such a conjecture and confirm it, at least to leading order, for corners with almost flat opening angle.
