Tunneling transverse to a magnetic field, and how it occurs in correlated 2D electron systems

TL;DR

This paper studies how magnetic fields influence tunneling in correlated 2D electron systems, revealing that electron correlations exponentially affect tunneling rates and proposing a method beyond standard WKB analysis.

Contribution

It introduces a novel analysis of tunneling decay in magnetic fields for correlated 2D systems, overcoming limitations of traditional methods.

Findings

Electron correlations exponentially increase tunneling rates.

Standard WKB technique is inadequate due to broken time-reversal symmetry.

Analysis of Hamiltonian trajectories reveals tunneling mechanisms.

Abstract

We investigate tunneling decay in a magnetic field. Because of broken time-reversal symmetry, the standard WKB technique does not apply. The decay rate and the outcoming wave packet are found from the analysis of the set of the particle Hamiltonian trajectories and its singularities in complex space. The results are applied to tunneling from a strongly correlated 2D electron system in a magnetic field parallel to the layer. We show in a simple model that electron correlations exponentially strongly affect the tunneling rate.