AI 中文总结
本文针对超导薄膜条带的无涡旋态，构建微观稳定性理论消除核心截断歧义，确定全温域不稳定性场，揭示不同宽度区间的不稳定性模式及宽/窄条带的标度行为。
AI 中文摘要
在Pearr-London理论中，超导薄膜条带的边缘势垒消失场取决于任意的短距离核心截断值，因为涡旋被视为点物体。该理论无法确定截断值及其对温度T的依赖关系，因此无法确定不稳定性场的温度依赖关系。本文直接针对无涡旋超导态构建微观稳定性问题，消除了核心截断的歧义，并确定了全温度范围及所考虑的所有宽度区间内的不稳定性场B_s。对于自场可忽略的均匀脏条带，存在三个宽度区间：当W<W₁(T)时，超导性通过一维（1D）不稳定性连续消失到正常态；当W₁(T)<W<W₂(T)时，边缘选择性二维（2D）长波模式变得不稳定；当W>W₂(T)时，临界波数有限，不稳定模式局域在边缘附近。在宽条带极限下，B_s∝1/W，恢复Pearl-London标度；但在足够窄的条带中，Pearl-London边缘势垒图像定性失效。
英文摘要
In the Pearl--London theory, the edge-barrier-disappearance field of a superconducting thin-film strip depends on an arbitrary short-distance core cutoff because the vortex is treated as a point object. The theory does not determine the cutoff or how it depends on temperature $T$, and therefore cannot determine the $T$ dependence of the instability field. Here we formulate the microscopic stability problem directly for the vortex-free superconducting state. This removes the core-cutoff ambiguity and determines the instability field $B_s$ over the full temperature range and across all width regimes considered here. For a homogeneous dirty strip with negligible self-field, three width regimes occur. For $W<W_1(T)$, superconductivity disappears continuously into the normal state through a one-dimensional (1D) instability. For $W_1(T)<W<W_2(T)$, an edge-selective two-dimensional (2D) long-wavelength mode becomes unstable. For $W>W_2(T)$, the critical wave number is finite and the unstable mode is localized near an edge. In the wide-strip limit, $B_s\propto1/W$, recovering the Pearl--London scaling. In sufficiently narrow strips, however, the Pearl--London edge-barrier picture fails qualitatively.
Comments6 pages, 2 figures
