Polariton formation in a microcavity with a doped quantum well: Roles of the Fermi edge singularity and Anderson orthogonality catastrophe

Baeten, Maarten; Wouters, Michiel

doi:10.1103/physrevb.89.245301

Cited by 14 publications

(18 citation statements)

References 22 publications

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“…[18], extending it by going from 3D to 2D and, more importantly, by addressing the cavity coupling which gives rise to polaritons. For infinite hole mass the sharp electronic spectral feature caused by the Fermi edge singularity can couple with the cavity mode to create sharp polariton-type spectral peaks [15,16]. We find that the finite hole mass cuts off the Fermi edge singularity and suppresses these polariton features.…”

Section: Introductionmentioning

confidence: 83%

“…The optical properties of the full system are determined by the retarded dressed photon Green's function [16,17]:…”

Section: Modelmentioning

confidence: 99%

“…A similar approach was applied recently by Averkiev and Glazov [15], who computed cavity transmission coefficients semiclassically, phenomenologically absorbing the effect of the Fermi-edge singularity into the dipole matrix element. Two further recent treatments of polaritons for nonvanishing Fermi energies are found in [16] and [17]. In the first numerical paper [16], the Fermi-edge singularity as well as the excitonic bound state are accounted for, computing the electron-hole correlator as in [11], but an infinite mass is assumed.…”

Section: B Large Fermi Energymentioning

confidence: 99%

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Fermi-edge exciton-polaritons in doped semiconductor microcavities with finite hole mass

Pimenov¹,

Delft²,

Glazman

et al. 2017

Phys. Rev. B

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The coupling between a 2D semiconductor quantum well and an optical cavity gives rise to combined light-matter excitations, the exciton-polaritons. These were usually measured when the conduction band is empty, making the single polariton physics a simple single-body problem. The situation is dramatically different in the presence of a finite conduction band population, where the creation or annihilation of a single exciton involves a many-body shakeup of the Fermi sea. Recent experiments in this regime revealed a strong modification of the exciton-polariton spectrum. Previous theoretical studies concerned with nonzero Fermi energy mostly relied on the approximation of an immobile valence band hole with infinite mass, which is appropriate for low-mobility samples only; for high-mobility samples, one needs to consider a mobile hole with large but finite mass. To bridge this gap we present an analytical diagrammatic approach and tackle a model with shortranged (screened) electron-hole interaction, studying it in two complementary regimes. We find that the finite hole mass has opposite effects on the exciton-polariton spectra in the two regimes: In the first, where the Fermi energy is much smaller than the exciton binding energy, excitonic features are enhanced by the finite mass. In the second regime, where the Fermi energy is much larger than the exciton binding energy, finite mass effects cut off the excitonic features in the polariton spectra, in qualitative agreement with recent experiments.

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Section: Introductionmentioning

confidence: 83%

“…The optical properties of the full system are determined by the retarded dressed photon Green's function [16,17]:…”

Section: Modelmentioning

confidence: 99%

Section: B Large Fermi Energymentioning

confidence: 99%

See 1 more Smart Citation

Fermi-edge exciton-polaritons in doped semiconductor microcavities with finite hole mass

Pimenov¹,

Delft²,

Glazman

et al. 2017

Phys. Rev. B

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“…In our previous work [29] we have argued that the threeparticle picture of the additional peak is appropriate only at low doping F T , where F is the Fermi energy of excess charge carriers. The three-particle picture cannot explain the competition for spectral weight between two peaks that is observed in experiments at higher carrier densities (See also related earlier work [30][31][32][33][34][35][36]). In the wide doping range where F T , that in TMDC monolayers corresponds to concentrations n 5 10 12 cm −2 , the appropriate picture is instead one of renormalized excitons interacting with the degenerate Fermi sea of excess charge carriers [29,37].…”

Section: Introductionmentioning

confidence: 98%

Exciton-polarons in doped semiconductors in a strong magnetic field

Efimkin

MacDonald

2018

Phys. Rev. B

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In previous work we have argued that the optical properties of moderately doped two-dimensional semiconductors can be described in terms of excitons dressed by their interactions with a degenerate Fermi sea of additional charge carriers. These interactions split the bare exciton into attractive and repulsive exciton-polaron branches. The collective excitations of the coupled system are manybody generalizations of the bound trion and unbound states of a single electron interacting with an exciton. In this article we consider exciton-polarons in the presence of an external magnetic field that quantizes the kinetic energy of the electrons in the Fermi sea. Our theoretical approach is based on a transformation to new basis that respects the underlaying symmetry of magnetic translations. We find that the attractive exciton-polaron branch is only weakly influenced by the magnetic field, whereas the repulsive branch exhibits magnetic oscillations and splits into discrete peaks that reflect combined exciton-cyclotron resonance. arXiv:1707.05845v2 [cond-mat.mes-hall]

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“…Adding spin-(−1/2) electrons reduces the exciton binding due to Pauli blocking with same-spin electrons, but mostly broadens the trion resonance. Consequences raised by these issues, including the Fermi edge singularity [33][34][35][36] associated with the sudden appearance of a trion in the presence of a dense Fermi sea, will be studied elsewhere.…”

Section: Pacs Numbersmentioning

confidence: 99%

Way to observe the implausible “trion-polariton”

Shiau

Combescot

Chang

2017

EPL

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Using the composite boson (coboson) many-body formalism, we determine under which conditions "trion-polariton" can exist. Dipolar attraction can bind an exciton and an electron into a trion having an energy well separated from the exciton energy. Yet, the existence of long-lived "trionpolariton" is a priori implausible not only because the photon-trion coupling, which scales as the inverse of the sample volume, is vanishingly small, but mostly because this coupling is intrinsically "weak". Here, we show that a moderately dense Fermi sea renders its observation possible: on the pro side, the Fermi sea overcomes the weak coupling by pinning the photon to its momentum through Pauli blocking; it also overcomes the dramatically poor photon-trion coupling by providing a volume-linear trion subspace to which the photon is coherently coupled. On the con side, the Fermi sea broadens the photon-trion resonance due to the fermionic nature of trions and electrons; it also weakens the trion binding by blocking electronic states relevant for trion formation. As a result, the proper way to observe this novel polariton is to use doped semiconductor having long-lived electronic states, highly-bound trion and Fermi energy as large as a fraction of the trion binding energy. PACS numbers:Exciton-polaritons have recently attracted very much attention because of claimed observations of BoseEinstein condensation [1][2][3][4]. When the coupling between a photon and an exciton is strong, exciton-polaritons [5,6] are formed. By contrast, when this coupling is weak, photons are absorbed. In the former case, the exciton lifetime is long compared to the Rabi oscillation period and the Q exciton recombines into the same Q photon (see Fig. 1(a)). When it is short, the exciton changes momentum before recombination occurs and the initial photon Q cannot be re-emitted; it gets absorbed along the Fermi golden rule, the small exciton lifetime producing a broadening of the exciton discrete level, which plays the role of a continuum [7].We here consider another semiconductor bound state, the trion, and determine under which conditions this composite fermion can strongly couple to photon to form a polariton. Many objections lead us to first reject the idea: (i) the trion coupling to photon is intrinsically weak because the emitted photon can have a momentum different from its initial value, even when the trion lifetime is long; (ii) the photon-trion coupling is vanishingly small because it scales as the inverse of the sample volume; (iii) an increase of the number of electrons available for pairing broadens the photon-trion resonance due to the fermionic nature of trions and electrons; (iv) it also reduces the trion binding by Coulomb screening and by Pauli blocking the electronic states relevant to the formation of bound trion. Despite all these objections, we will show that there exists a narrow window in which "trion-polariton" can be formed.Semiconductor trions [8][9][10][11][12][13][14] are made of two conduction-electrons and one valence-hole, ...

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Polariton formation in a microcavity with a doped quantum well: Roles of the Fermi edge singularity and Anderson orthogonality catastrophe

Cited by 14 publications

References 22 publications

Fermi-edge exciton-polaritons in doped semiconductor microcavities with finite hole mass

Fermi-edge exciton-polaritons in doped semiconductor microcavities with finite hole mass

Exciton-polarons in doped semiconductors in a strong magnetic field

Way to observe the implausible “trion-polariton”

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