Tunneling effect induced by a curved magnetic edge
Spectral Theory
2022-03-21 v2
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.
Keywords
Cite
@article{arxiv.2201.13423,
title = {Tunneling effect induced by a curved magnetic edge},
author = {Søren Fournais and Bernard Helffer and Ayman Kachmar},
journal= {arXiv preprint arXiv:2201.13423},
year = {2022}
}
Comments
To appear in a volume on the occasion of Eliott H. Lieb's 90th birthday