Quantum shells versus quantum dots: suppressing Auger recombination in colloidal semiconductors
Semiconductor quantum shells – an emerging nanomaterial class for optical gain media, photovoltaic, and high-energy radiation detection applications.
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- Award ID(s):
- 2208834
- PAR ID:
- 10509390
- Publisher / Repository:
- Chem Com
- Date Published:
- Journal Name:
- Chemical Communications
- Volume:
- 59
- Issue:
- 76
- ISSN:
- 1359-7345
- Page Range / eLocation ID:
- 11337 to 11348
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Abstract We construct a quantum Frobenius map for the $$SL_{3}$$ skein module of any oriented 3-manifold specialized at a root of unity, and describe the map by way of threading certain polynomials along links. The homomorphism is a higher rank version of the Chebyshev–Frobenius homomorphism of Bonahon–Wong. The strategy builds on a previous construction of the Frobenius map for $$SL_{3}$$ skein algebras of punctured surfaces, using the Frobenius map of Parshall–Wang for the quantum group $$\mathcal{O}_{q}(SL_{3}).$$more » « less
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