Soft pair excitations and double-log divergences due to carrier interactions in graphene
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PhysRevB.97.115423.pdf
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Author(s) •
Lewandowski, Cyprian Krzysztof
Levitov, Leonid
Date Issued
March 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Lewandowski, Cyprian and L. S. Levitov. "Soft pair excitations and double-log divergences due to carrier interactions in graphene." Physical Review B 97, 11 (March 2018): 115423 © 2018 American Physical Society
Version
Final published version
Abstract
Interactions between charge carriers in graphene lead to logarithmic renormalization of observables mimicking the behavior known in (3+1)-dimensional quantum electrodynamics (QED). Here we analyze soft electron-hole (e-h) excitations generated as a result of fast charge dynamics, a direct analog of the signature QED effect—multiple soft photons produced by the QED vacuum shakeup. We show that such excitations are generated in photon absorption, when a photogenerated high-energy e-h pair cascades down in energy and gives rise to multiple soft e-h excitations. This fundamental process is manifested in a double-log divergence in the emission rate of soft pairs and a characteristic power-law divergence in their energy spectrum of the form 1/ω ln(ω/Δ). Strong carrier-carrier interactions make pair production a prominent pathway in the photoexcitation cascade.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.115423