4.6 Article

Effect of fermion indistinguishability on optical absorption of doped two-dimensional semiconductors

Journal

PHYSICAL REVIEW B
Volume 105, Issue 12, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.125404

Keywords

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Funding

  1. Ministerio de Ciencia e Innovacion (MICINN) [AEI/10.13039/501100011033, MAT2017-83772-R]
  2. Proyecto Sinergico CAM 2020 (NanoQuCo-CM) [Y2020/TCS-6545]
  3. Australian Research Council Centre of Excellence in Future Low-Energy Electronics Technologies [CE170100039]
  4. Australian Research Council [FT160100244, FT200100619]
  5. Engineering and Physical Sciences Research Council program Hybrid Polaritonics [EP/M025330/1]
  6. Australian Research Council [FT200100619] Funding Source: Australian Research Council

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This article studies the optical absorption spectrum of doped two-dimensional semiconductors in the spin-valley polarized limit. It demonstrates that the three-body trion state must have p-wave symmetry and evaluates the optical properties of the system. It also explores the impact of different doping conditions on the system's optical properties.
We study the optical absorption spectrum of a doped two-dimensional semiconductor in the spin-valley polarized limit. In this configuration, the carriers in the Fermi sea are indistinguishable from one of the two carriers forming the exciton. Most notably, this indistinguishability requires the three-body trion state to have p-wave symmetry. To explore the consequences of this, we evaluate the system's optical properties within a polaron description, which can interpolate from the low-density limit, where the relevant excitations are few-body bound states, to higher-density many-body states. In the parameter regime where the trion is bound, we demonstrate that the spectrum is characterized by an attractive quasiparticle branch, a repulsive branch, and a many-body continuum, and we evaluate the doping dependence of the corresponding energies and spectral weights. In particular, at low doping we find that the oscillator strength of the attractive branch scales with the square of the Fermi energy as a result of the trion's p-wave symmetry. Upon increasing density, we find that the orbital character of the states associated with these branches interchanges. We compare our results with previous investigations of the scenario where the Fermi sea involves carriers distinguishable from those in the exciton, for which the trion ground state is s wave.

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