Magnetoexcitons break antiunitary symmetries

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.

Accepted for publication in Physical Review Letters

References in corpus (6)

• Chaotic Dirac billiard in graphene quantum dots
• Giant Rydberg Excitons in Cuprous Oxide
• Observation of high angular momentum excitons in cuprous oxide
• Coulomb-Sturmian basis for the nuclear many-body problem
• Magnetoexcitons in cuprous oxide
• $K$ dependent exchange interaction of the $1S$ ortho exciton in Cu${}_2$O

Cited by in corpus (8)

• Magnetooptical Properties of Rydberg Excitons - Center-of-Mass Quantization Approach
• GOE-GUE-Poisson transitions in the nearest neighbor spacing distribution of magnetoexcitons
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Crossover between the Gaussian orthogonal ensemble, the Gaussian unitary ensemble, and Poissonian statistics
• Chaotic cyclotron and Hall trajectories due to spin-orbit coupling
• Exciton-phonon interaction breaking all antiunitary symmetries in external magnetic fields
• Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu${}_2$O
• Rydberg excitons in cuprous oxide: A two-particle system with classical chaos