Two-dimensional excitons from twisted light and the fate of the photon's
orbital angular momentum
- URL: http://arxiv.org/abs/2201.13058v1
- Date: Mon, 31 Jan 2022 08:29:53 GMT
- Title: Two-dimensional excitons from twisted light and the fate of the photon's
orbital angular momentum
- Authors: Tobias Gra{\ss}, Utso Bhattacharya, Julia Sell, Mohammad Hafezi
- Abstract summary: Relative motion of an exciton is described by two quantum numbers: the principal quantum number $n$, and a quantum number $j$ for the angular momentum along the axis.
Conservation of angular momentum demands that only the $j=0$ states of the excitons are optically active in a system illuminated by plane waves.
We show that the photon (linear and/or angular) momentum is coupled to the center-of-mass (linear and/or angular) momentum of the exciton.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: As the bound state of two oppositely charged particles, excitons emerge from
optically excited semiconductors as the electronic analogue of a hydrogen atom.
In the two-dimensional (2D) case, realized either in quantum well systems or
truly 2D materials such as transition metal dichalcogenides, the relative
motion of an exciton is described by two quantum numbers: the principal quantum
number $n$, and a quantum number $j$ for the angular momentum along the
perpendicular axis. Conservation of angular momentum demands that only the
$j=0$ states of the excitons are optically active in a system illuminated by
plane waves. Here we consider the case for spatially structured light sources,
specifically for twisted light beams with non-zero orbital angular momentum per
photon. Under the so-called dipole approximation where the spatial variations
of the light source occur on length scales much larger than the size of the
semiconductor's unit cell, we show that the photon (linear and/or angular)
momentum is coupled to the center-of-mass (linear and/or angular) momentum of
the exciton. Our study establishes that the selection rule for the internal
states of the exciton, and thus the exciton spectrum, is independent from the
spatial structure of the light source.
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