Phonon-assisted optical transitions in GaN with impurities and defects

Tronc, P.; Kitaev, Yu. É.; Wang, G.; Лимонов, М. Ф.; Neu, G.

doi:10.1016/s0921-4526(01)00443-4

Cited by 7 publications

(10 citation statements)

References 11 publications

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“…The selection rules for creating a polaron by absorbing a photon are the same as those for vibration-mode-assisted optical transitions. It can be concluded that, from the symmetry point of view, a carrier (exciton) with any symmetry can be created by absorbing a photon [11], provided the relation (2) is fulfilled. Indeed the symmetry of a QD is C 3v , i.e., the same symmetry as that of a substitutional impurity in a GaN crystal [11].…”

Section: Vibration-induced Electron Transitions and Polaronsmentioning

confidence: 99%

“…It can be concluded that, from the symmetry point of view, a carrier (exciton) with any symmetry can be created by absorbing a photon [11], provided the relation (2) is fulfilled. Indeed the symmetry of a QD is C 3v , i.e., the same symmetry as that of a substitutional impurity in a GaN crystal [11]. A great number of studies have been performed during recent years to take into account the effects of polarons in the study of the decrease in energy of excited carriers and excitons [10].…”

Section: Vibration-induced Electron Transitions and Polaronsmentioning

confidence: 99%

See 1 more Smart Citation

Symmetry of electron states and optical transitions in GaN/AlN hexagonal quantum dots

Tronc¹,

Smirnov²,

Журавлев

2004

Physica Status Solidi (b)

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The exact symmetry of hexagonal quantum dots (QDs) made of materials with the wurtzite structure such as GaN/AlN QDs for example, is described by the C 3v point group and does not depend on the existence of a wetting layer. We have determined the possible exact symmetries of electron states and vibration modes in the dots and derived the optical selection rules. The vibration modes involved in the Frölich interaction are totally symmetric with respect to the C 3v group and can induce transitions only between states with the same symmetry. The not totally symmetric modes provide other channels for lowering the energy of excited carriers and excitons by connecting states with symmetries different one from another. The rapid decay of created polarons, due to the short lifetime of vibration modes, releases the carriers and excitons into ground levels. In the envelope function approximation (EFA), the symmetry of the dots is represented by the C 6v point group. Interband transitions are allowed only between states whose envelope functions have the same symmetry. EFA artificially increases the number of dark exciton symmetries.

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Section: Vibration-induced Electron Transitions and Polaronsmentioning

confidence: 99%

Section: Vibration-induced Electron Transitions and Polaronsmentioning

confidence: 99%

Symmetry of electron states and optical transitions in GaN/AlN hexagonal quantum dots

Tronc¹,

Smirnov²,

Журавлев

2004

Physica Status Solidi (b)

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“…These references to Sections 2 and 3 regard also the permutational symmetries of the biexcitonic states involved. The momentum-conservation law can be satisfied by emitting or absorbing phonon(s) when one (two) involved exciton state(s) is (are) bound [18].…”

Section: Exciton-exciton Collisions In Ganmentioning

confidence: 99%

“…The space symmetry of the (GaN) m /AlN QW's is described by the P3m1 (DG69) layer group whatever is the m value [20]. The space group C 3v 1 is a semi-direct product [18] of its layer subgroup P3m1 and its invariant subgroup T of lattice translations along the z-axis (C 3v 1 = P3m1 ∧ T). In all the heterostructures, any atom of the lattice occupies a site with the C 3v symmetry [20].…”

Section: Heterostructuresmentioning

confidence: 99%

Symmetry aspects of exciton–exciton interactions and biexciton transitions in wurtzite semiconductor structures

Tronc¹,

Kitaev²,

Smirnov³

et al. 2004

Physica Status Solidi (b)

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The inelastic collision of two excitons or the optical decay of a biexciton can induce a transition into an exciton and a photon. From the symmetry point of view, we have studied the states of free and bound biexcitons in bulk GaN with the wurtzite structure and in GaN/AlN heterostructures. Due to the antisymmetry properties arising from the exchange of identical fermions, the ground state of the free Γ biexcitons involving two holes from the same valence band is totally symmetric with respect to the symmetry group of the structure. We established the optical selection rules as well as the possible channels for the processes mentioned above and showed that, whatever is the symmetry of a biexciton, there are at least two channels for its optical recombination. That suggests fast recombination processes. If one (several) phonon(s) is (are) involved in a process, it is always possible to connect by an optical transition any initial state to any final one. An electric field applied parallel to the growth axis lowers the symmetry of superlattices to that of quantum wells. All the results remain valid for any bulk semiconductor with the wurtzite structure and for any wurtzite-based heterostructure with identical cations or anions.

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“…Finally, we extended our results to phonon-assisted transitions. 4 Of course, excitons are bosons and their symmetry therefore can be described by single-valued irreducible representations ͑irreps͒ only, even in the case when the spin-orbit interaction ͑SOI͒ is taken into account as it is done hereafter. On the contrary, trions are fermions and their symmetry can be described only by double-valued irreps when the SOI is taken into account.…”

Section: Introductionmentioning

confidence: 99%

Charged excitons and excitons bound to neutral impurities in wurtzite semiconductor structures

Tronc¹,

Smirnov²

2002

Phys. Rev. B

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We have established the possible symmetries for the states of charged excitons ͑trions͒ in bulk materials with the wurtzite structure and in wurtzite-based heterostructures. We considered both free trions and bound ones ͑or excitons bound to neutral, i.e., un-ionized impurities͒. From the Pauli principle for identical fermions it is shown that only one symmetry is possible for the ground state of positively charged free trions involving two holes from the same valence band. The property also holds for negatively charged free trions, except in quantum wells and some superlattices for trions whose hole lies in the A valence band. We established the selection rules for trion optical transitions. Only a few trions are dark. Even more, for many trions, several channels are available, in terms of symmetry, for radiative decay, which suggests fast recombination processes. A comparison is provided between exciton and trion transitions. The changes of the symmetry of the states and of the optical selection rules induced by an electric field parallel to the c axis have been considered. When one ͑several͒ phonon͑s͒ is ͑are͒ involved in a process, it is always possible to connect any initial state to any final one by an optical transition.

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Phonon-assisted optical transitions in GaN with impurities and defects

Cited by 7 publications

References 11 publications

Symmetry of electron states and optical transitions in GaN/AlN hexagonal quantum dots

Symmetry of electron states and optical transitions in GaN/AlN hexagonal quantum dots

Symmetry aspects of exciton–exciton interactions and biexciton transitions in wurtzite semiconductor structures

Charged excitons and excitons bound to neutral impurities in wurtzite semiconductor structures

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