Les excitations optiques élémentaires d’un système bidimensionnel d’électrons ou de trous ont été identifiées comme des exciton-Fermi-polarons. Néanmoins, la connexion entre l’état lié d’un exciton et d’un électron, appelé trion, et les exciton–polarons fait l’objet d’un débat permanent. Ici, nous utilisons une analogie avec le modèle de Tavis–Cummings de l’optique quantique pour montrer qu’un exciton–polaron peut être compris comme une quasi-particule hybride — une superposition cohérente d’un exciton nu dans une mer de Fermi non perturbée et une excitation collective brillante de nombreux trions. L’analogie est valable dans la mesure où l’Ansatz de Chevy fournit une bonne description de l’écrantage dynamique des excitons et à condition que l’énergie de Fermi soit beaucoup plus petite que l’énergie de liaison des trions. Nous espérons que nos résultats apporteront de nouvelles connaissances qui pourraient aider à expliquer les différences frappantes entre les spectres d’absorption et d’émission des semi-conducteurs bidimensionnels.
The elementary optical excitations of a two-dimensional electron or hole system have been identified as exciton-Fermi-polarons. Nevertheless, the connection between the bound state of an exciton and an electron, termed trion, and exciton–polarons is subject of ongoing debate. Here, we use an analogy to the Tavis–Cummings model of quantum optics to show that an exciton–polaron can be understood as a hybrid quasiparticle—a coherent superposition of a bare exciton in an unperturbed Fermi sea and a bright collective excitation of many trions. The analogy is valid to the extent that the Chevy Ansatz provides a good description of dynamical screening of excitons and provided the Fermi energy is much smaller than the trion binding energy. We anticipate our results to bring new insight that could help to explain the striking differences between absorption and emission spectra of two-dimensional semiconductors.
Publié le :
Mot clés : Exciton–polarons, Semi-conducteurs bidimensionnels, Modèle de Tavis–Cummings, Optique quantique, Physique des corps multiples
Atac Imamoglu 1 ; Ovidiu Cotlet 1 ; Richard Schmidt 2, 3
![](/physique/static/ptf/img/CC-BY%204.0.png)
@article{CRPHYS_2021__22_S4_89_0, author = {Atac Imamoglu and Ovidiu Cotlet and Richard Schmidt}, title = {Exciton{\textendash}polarons in two-dimensional semiconductors and the {Tavis{\textendash}Cummings} model}, journal = {Comptes Rendus. Physique}, pages = {89--96}, publisher = {Acad\'emie des sciences, Paris}, volume = {22}, number = {S4}, year = {2021}, doi = {10.5802/crphys.47}, language = {en}, }
TY - JOUR AU - Atac Imamoglu AU - Ovidiu Cotlet AU - Richard Schmidt TI - Exciton–polarons in two-dimensional semiconductors and the Tavis–Cummings model JO - Comptes Rendus. Physique PY - 2021 SP - 89 EP - 96 VL - 22 IS - S4 PB - Académie des sciences, Paris DO - 10.5802/crphys.47 LA - en ID - CRPHYS_2021__22_S4_89_0 ER -
Atac Imamoglu; Ovidiu Cotlet; Richard Schmidt. Exciton–polarons in two-dimensional semiconductors and the Tavis–Cummings model. Comptes Rendus. Physique, Volume 22 (2021) no. S4, pp. 89-96. doi : 10.5802/crphys.47. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.47/
[1] Spin and pseudospins in layered transition metal dichalcogenides, Nat. Phys., Volume 10 (2014), pp. 343-350 | DOI
[2] Valleytronics in 2d materials, Nat. Rev. Mater., Volume 1 (2016), 16055
[3] Colloquium: Excitons in atomically thin transition metal dichalcogenides, Rev. Mod. Phys., Volume 90 (2018), 021001 | DOI | MR
[4] Realization of an electrically tunable narrow-bandwidth atomically thin mirror using monolayer MoSe, Phys. Rev. Lett., Volume 120 (2018), 037401 | DOI
[5] Large excitonic reflectivity of monolayer MoSe encapsulated in hexagonal boron nitride, Phys. Rev. Lett., Volume 120 (2018), 037402 | DOI
[6] Correlation between trion and hole in Fermi distribution in process of trion photo-excitation in doped QWs, Optical Properties of 2D Systems with Interacting Electrons, Springer, 2003, pp. 111-124 | DOI
[7] Fermi polaron-polaritons in charge-tunable atomically thin semiconductors, Nat. Phys., Volume 13 (2016) no. 10, pp. 255-261
[8] Many-body theory of trion absorption features in two-dimensional semiconductors, Phys. Rev. B, Volume 95 (2017), 035417
[9] Oscillator strength of trion states in ZnSe-based quantum wells, Phys. Rev. B, Volume 62 (2000), pp. 10345-10352 | DOI
[10] Theory of trion spectra in semiconductor nanostructures, Phys. Status Solidi (b), Volume 227 (2001) no. 2, pp. 317-330 | DOI
[11] Optical method for the determination of carrier density in modulation-doped quantum wells, Phys. Rev. B, Volume 65 (2002), 115310
[12] Exact solution for an n-molecule—radiation-field Hamiltonian, Phys. Rev., Volume 170 (1968), pp. 379-384 | DOI
[13] Theory of exciton-electron scattering in atomically thin semiconductors, Phys. Rev. B, Volume 101 (2020), 195417
[14] Normal state of highly polarized Fermi gases: Full many-body treatment, Phys. Rev. Lett., Volume 101 (2008), 050404 | DOI
[15] Impurity in a Fermi sea on a narrow feshbach resonance: A variational study of the polaronic and dimeronic branches, Phys. Rev. A, Volume 85 (2012), 053612 | DOI
[16] Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations, Phys. Rev. A, Volume 74 (2006), 063628 | DOI
[17] Fermi polarons in two dimensions, Phys. Rev. A, Volume 85 (2012), 021602 | DOI
[18] Transport of neutral optical excitations using electric fields, Phys. Rev. X, Volume 9 (2019), 041019
[19] Polaron-to-molecule transition in a strongly imbalanced Fermi gas, Phys. Rev. A, Volume 80 (2009) no. 5, 053605 | DOI
[20] Polaron-molecule transitions in a two-dimensional Fermi gas, Phys. Rev. A, Volume 83 (2011), 051603
[21] Highly polarized Fermi gases in two dimensions, Phys. Rev. A, Volume 87 (2013), 033616
[22] Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi polarons, Phys. Rev. B, Volume 90 (2014), 104510 | DOI
[23] Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions, Phys. Rev. B, Volume 89 (2014), 085119 | DOI
[24] Optical properties of charged excitons in two-dimensional crystals (2020) (https://arxiv.org/abs/2004.13484)
[25] Normal state of highly polarized Fermi gases: Simple many-body approaches, Phys. Rev. Lett., Volume 98 (2007), 180402 | DOI
Cité par Sources :
Commentaires - Politique