Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors

Abstract

We present a quantum virial expansion for the optical response of a doped two-dimensional semiconductor. As we show, this constitutes a perturbatively exact theory in the high-temperature or low-doping regime, where the electrons' thermal wavelength is smaller than their interparticle spacing. The virial expansion predicts new features of the photoluminescence, such as a non-trivial shape of the attractive branch related to universal low-energy exciton-electron scattering and an associated shift of the attractive peak from the trion energy. Our results are in excellent agreement with recent experiments on doped monolayer MoSe${}_2$ [Zipfel et al., Phys. Rev. B 105, 075311 (2022)] and they imply that the trion binding energy is likely to have been overestimated in previous measurements. Our theory furthermore allows us to formally unify two distinct theoretical pictures that have been applied to this system, with the conventional trion picture results emerging as a high-temperature and weak-interaction limit of Fermi polaron theory.

7 pages, 2 figures (published version)

References in corpus (16)

• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Attractive and repulsive Fermi polarons in two dimensions
• Many-Body Theory of Trion Absorption Features in Two-Dimensional Semiconductors
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Highly polarized Fermi gases in two dimensions
• Electron-exciton interactions in the exciton-polaron problem
• Pseudo-gap pairing in ultracold Fermi atoms
• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• Ground and Excited Exciton Polarons in Monolayer MoSe2
• A Many-Body Theory of the Optical Conductivity of Excitons and Trions in Two-Dimensional Materials
• Quantum Dynamics of Attractive and Repulsive Polarons in a Doped MoSe${}_2$ Monolayer
• High-temperature limit of the resonant Fermi gas
• Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi-polarons
• Electron recoil effect in electrically tunable MoSe2 monolayers
• Crossover from exciton polarons to trions in doped two-dimensional semiconductors at finite temperature
• Excitonic theory of doping-dependent optical response in atomically thin semiconductors

Cited by in corpus (6)

• Crossover from exciton polarons to trions in doped two-dimensional semiconductors at finite temperature
• Optical signatures of interlayer electron coherence in a bilayer semiconductor
• Polaronic polariton quasiparticles in a dark excitonic medium
• Optical properties of Fermi polarons in a GaInP/MoSe2 monolayer heterostructure
• Terahertz radiation induced attractive-repulsive Fermi polaron conversion in transition metal dichalcogenide monolayers
• Room-temperature tuning and probing of Fermi polarons in atomically thin semiconductors on a plasmonic metasurface