Tunneling effect induced by a curved magnetic edge

TL;DR

This paper models nanoscale magnetic field variations with a curved edge, demonstrating semi-classical tunneling effects and quantifying their magnitude through theoretical analysis.

Contribution

It introduces a theoretical model for magnetic fields with a curved edge and analytically calculates the tunneling effect in this setting.

Findings

Semi-classical tunneling occurs along the magnetic edge.

The magnitude of tunneling is explicitly calculated.

Magnetic field changes sign with two distinct values along the edge.

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.