Tunneling effect induced by a curved magnetic edge

Søren Fournais; Bernard Helffer; Ayman Kachmar

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arXiv · 2201.13423

Tunneling effect induced by a curved magnetic edge

Søren Fournais·Bernard Helffer·Ayman Kachmar

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Abstract

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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BibTeX RIS

Søren Fournais, Bernard Helffer, Ayman Kachmar. 2022-01-31. Tunneling effect induced by a curved magnetic edge. https://arxiv.org/abs/2201.13423

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