论文标题

弯曲磁边引起的隧道效应

Tunneling effect induced by a curved magnetic edge

论文作者

Fournais, Søren, Helffer, Bernard, Kachmar, Ayman

论文摘要

实验观察到的具有纳米级变化的磁场理论上是通过零件的恒定函数模拟的,并沿平滑曲线(磁性边缘)跳跃不连续性。假设边缘是具有对称轴的封闭曲线,并且该场符号正在变化,并且完全有两个不同的值,我们证明会发生半古典隧穿并计算此隧道效应的大小。

Experimentally observed magnetic fields with nanoscale variations are theoretically modeled by a piece-wise constant function with jump discontinuity along a smooth curve, the magnetic edge. Assuming the edge is a closed curve with an axis of symmetry and the field is sign changing and with exactly two distinct values, we prove that semi-classical tunneling occurs and calculate the magnitude of this tunneling effect.

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