Metastable bound states of the two-dimensional bi-magnetoexcitons in the lowest Landau levels approximation

TL;DR

This paper investigates the existence of bound states of two-dimensional magnetoexcitons in the lowest Landau levels, revealing a metastable bound state with significant activation barrier but no stable bound states.

Contribution

It introduces a variational approach to analyze magnetoexciton interactions, discovering a metastable bound state in the 2D Landau level approximation.

Findings

No stable bound states for both spin orientations.

Existence of a deep metastable bound state with a high activation barrier.

Magnetoexcitons concentrate on a ring in momentum space.

Abstract

The possible existence of the bound states of the interacting two-dimensional (2D) magnetoexcitons in the lowest Landau levels (LLLs) approximation was investigated using the Landau gauge description. The magnetoexcitons taking part in the formation of the bound state with resultant wave vector k= 0 have opposite in-plane wave vectors and look as two electric dipoles with the arms oriented in-plane perpendicularly to the corresponding wave vectors. The bound state of two antiparallel dipoles moving with equal probability in any direction of the plane with equal but antiparallel wave vectors is characterized by the variational wave function of the relative motion depending on the modulus | k |. The spins of two electrons and the effective spins of two holes forming the bound states were combined separately in the symmetric or in the antisymmetric forms for electrons and holes. In the case of the variational wave function the maximum density of the magnetoexcitons in the momentum space representation is concentrated on the in-plane ring. The stable bound states of the bimagnetoexciton molecule do not exist for both spin orientations. Instead of them, a deep metastable bound state with the activation barrier comparable with the ionization potential of the magnetoexciton with k =0 was revealed.