Metastable bound state of a pair of two-dimensional spatially separated electrons in anti-parallel magnetic fields

TL;DR

This paper introduces a novel mechanism for binding same-charge electrons in a double-layer system under a specially configured magnetic field, revealing a metastable bound state through energy-momentum analysis.

Contribution

It demonstrates the existence of a metastable bound state of two same-charge electrons in a double-layer system with anti-parallel magnetic fields, a new physical phenomenon.

Findings

Energy dependence on pair momentum shows nonmonotonic behavior.

A local maximum and minimum in energy indicate metastable bound states.

Binding mechanism relies on unique magnetic field configuration.

Abstract

We propose a new mechanism for binding of two equally charged carriers in a double-layer system subjected by a magnetic field of a special form. A field configuration for which the magnetic fields in adjacent layers are equal in magnitude and opposite in direction is considered. In such a field an additional integral of motion - the momentum of the pair P arises. For the case when in one layer the carrier is in the zero (n=0) Landau level while in the other layer - in the first (n=1) Landau level the dependence of the energy of the pair on its momentum E(P} is found. This dependence turns out to be nonmonotonic one : a local maximum and a local minimum appears, indicating the emergence of a metastable bound state of two carrier with the same sign of electrical charge.