Magnetoexcitons break antiunitary symmetries

TL;DR

This paper demonstrates that applying a magnetic field to Rydberg excitons in cubic semiconductors breaks all antiunitary symmetries, leading to GUE statistics without additional interactions.

Contribution

It provides analytical and numerical evidence that magnetic fields induce GUE statistics in excitons by breaking antiunitary symmetries, considering full valence band structure.

Findings

Magnetic field breaks all antiunitary symmetries in excitons.

Exciton Hamiltonian exhibits GUE statistics without phonon interactions.

Complete valence band structure is essential for symmetry breaking.

Abstract

We show analytically and numerically that the application of an external magnetic field to highly excited Rydberg excitons breaks all antiunitary symmetries in the system. Only by considering the complete valence band structure of a direct band gap cubic semiconductor, the Hamiltonian of excitons leads to the statistics of a Gaussian unitary ensemble (GUE) without the need for interactions with other quasi-particles like phonons. Hence, we give theoretical evidence for a spatially homogeneous system breaking all antiunitary symmetries.