Optical and magneto-optical absorption of negatively charged excitons in three- and two-dimensional semiconductors

Stébé, B.; Feddi, E.; Ainane, A.; Dujardin, F.

doi:10.1103/physrevb.58.9926

Cited by 81 publications

(44 citation statements)

References 15 publications

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“…[16][17][18] It implicitly assumes that the trion can be treated as an isolated, three-body problem reached in the low doping limit 25 . This approximation precludes the observation of Fermi edge effects arising from the dynamical response of the electron gas, 15,26 an effect which has been observed in the absorption spectra of MoS 2 .…”

Section: Methodsmentioning

confidence: 99%

“…The Hamiltonians are parametrized by ab initio calculations. Variational wavefunctions, inspired by previous treatments of excitons in semiconductor quantum wells, [16][17][18] are employed. By treating neutral and charged excitons on an equal footing, we achieve an internal consistency that yields accurate, nontrivial predictions for neutral excitons while also providing quantitative insight into the more complex trion species as well as trion binding energies that agree well with those inferred from experiment.…”

Section: Introductionmentioning

confidence: 99%

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Theory of neutral and charged excitons in monolayer transition metal dichalcogenides

2013

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We present a microscopic theory of neutral excitons and charged excitons (trions) in monolayers of transition metal dichalcogenides, including molybdenum disulfide. Our theory is based on an effective mass model of excitons and trions, parametrized by ab initio calculations and incorporating a proper treatment of screening in two dimensions. The calculated exciton binding energies are in good agreement with high-level many-body computations based on the Bethe-Salpeter equation. Furthermore, our calculations for the more complex trion species compare very favorably with recent experimental measurements, and provide atomistic insight into the microscopic features which determine the trion binding energy.2

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of neutral and charged excitons in monolayer transition metal dichalcogenides

2013

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“…(13) Since the trion Hamiltonian is such that H(r e , r e , r h ) = H(r e , r e , r h ), the orbital eigenstates are even or odd with respect to (r e ↔ r e ) exchange; due to Pauli exclusion, the even ones are associated with electron singlet states S = 0 while the odd ones are associated with triplets S = 1, the molecular ground state having an even orbital wave function as usual. Within these trion variables, the orbital parity reads r, u|η, S = (−1) S r , u |η, S .…”

Section: Calculation Of the Transition Ratementioning

confidence: 99%

“…Such a 3-fermion particle can be deuterium atom made of one electron, one proton and one neutron. Other possibilities are H − ion made of two opposite-spin electrons and one proton, or X − semiconductor trion [6][7][8][9][10][11][12][13] in which proton is replaced by valence hole. While deuterium is neutral, both H − ion and X − semiconductor trion are negatively charged.…”

Section: E-mail Addressmentioning

confidence: 99%

Effect of fermionic components on trion–electron scattering

Combescot¹,

Betbeder‐Matibet²,

Dupertuis³

2008

Solid State Communications

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a b s t r a c tTo test the validity of replacing a composite fermion by an elementary fermion, we calculate the transition rate from a state made of one free electron and one trion to a similar electron-trion pair, through the time evolution of such a pair induced by Coulomb interaction between elementary fermions. It is convenient to describe trion as one electron interacting with one exciton. This allows us to use the tools we have developed in the new composite-exciton many-body theory. The trion-electron scattering contains a direct channel in which ''in'' and ''out'' trions are made with the same fermions, and an exchange channel in which the ''in'' free electron becomes one of the ''out'' trion components. As expected, momenta are conserved in these two channels. The direct scattering is found to read as the bare Coulomb potential between elementary particles multiplied by a form factor which depends on the ''in'' and ''out'' trion relative motion indices η and η , this factor reducing to δ ηη in the zero momentum transfer limit. In this direct channel, the trion at large distance reacts as an elementary particle, its composite nature showing up at large momentum transfer. In contrast, the fact that the trion is not elementary does affect the exchange channel for all momentum transfers. We thus conclude that a 3-component fermion behaves as an elementary fermion for direct processes in the small momentum transfer limit only.

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“…It is 10 years ago since a charged exciton was observed for the first time in CdTe based quantum well [2] followed by many other studies dedicated to the physics of charged excitons in quantum wells (QWs). In the low carrier density regime, binding energies have been measured in different materials [3][4][5][6][7], while selection rules [8][9][10] and dynamics [11][12][13][14][15][16] offer useful tools for the identification of the complexes. The spin configuration of the charged excitons usually corresponds to the singlet statethe two identical particles have opposite spins.…”

Section: Introductionmentioning

confidence: 99%

Photoluminescence of p-Doped Quantum Wells with Strong Spin Splitting

et al. 2004

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Photoluminescence of p-type modulation doped (Cd,Mn)Te quantum wells is studied with carrier density up to 5 × 10 11 cm −2 at various spin splittings. This splitting can be made larger than the characteristic energies of the system thanks to the giant Zeeman effect. At small spin splitting and regardless of the carrier density, the photoluminescence exhibits a single line, which corresponds to the charged exciton in the singlet state. Above a certain spin splitting, the charged exciton is destabilized in favor of the exciton at vanishing hole density, and in favor of a double line at higher carrier density. It is found here that the charged exciton destabilization energy hardly depends on the carrier density. The double line is found to be band-to-band like, with the same initial state -where the holes have the same spin orientation -and final states that differ by some excitation of the 2D hole gas. In addition, the spin splitting needed to fully polarize the hole gas is twice smaller than expected from the single particle image and gives a unique insight into many-body effects in the hole gas.

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Optical and magneto-optical absorption of negatively charged excitons in three- and two-dimensional semiconductors

Cited by 81 publications

References 15 publications

Theory of neutral and charged excitons in monolayer transition metal dichalcogenides

Theory of neutral and charged excitons in monolayer transition metal dichalcogenides

Effect of fermionic components on trion–electron scattering

Photoluminescence of p-Doped Quantum Wells with Strong Spin Splitting

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