Optical properties of Rydberg excitons and polaritons

Zielińska-Raczyńska, Sylwia; Czajkowski, G.; Ziemkiewicz, David

doi:10.1103/physrevb.93.075206

Cited by 45 publications

(59 citation statements)

References 36 publications

(57 reference statements)

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“…Consequently, an interpretation of experimental spectra in terms of the hydrogen-like description of excitons is often not possible [7]. This is also true for cuprous oxide (Cu 2 O), which is one of the most interesting semiconductors relating to excitons due to the large excitonic binding energy of R exc ≈ 86 meV [8,9]. Only after Altarelli, Baldereschi and Lipari had developed the theory of excitons in semiconductors with degenerate valence bands in the 1970s [5,[10][11][12][13], a controversy regarding the correct assignment of the exciton states for Cu 2 O could be settled by Ch.…”

Section: Introductionmentioning

confidence: 99%

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Impact of the valence band structure ofCu2Oon excitonic spectra

Schweiner¹,

Main²,

Feldmaier³

et al. 2016

Phys. Rev. B

171

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We present a method to calculate the excitonic spectra of all direct semiconductors with a complex valence band structure. The Schrödinger equation is solved using a complete basis set with Coulomb Sturmian functions. This method also allows for the computation of oscillator strengths. Here we apply this method to investigate the impact of the valence band structure of cuprous oxide (Cu2O) on the yellow exciton spectrum. Results differ from those of J. Thewes et al. [Phys. Rev. Lett. 115, 027402 (2015)]; the differences are discussed and explained. The difference between the second and third Luttinger parameter can be determined by comparisons with experiments, however, the evaluation of all three Luttinger parameters is not uniquely possible. Our results are consistent with band structure calculations. Considering also a finite momentum K of the center of mass, we show that the large K-dependent line splitting observed for the 1S exciton state by G. Dasbach et al. [Phys. Rev. Lett. 91, 107401 (2003)] is not related to an exchange interaction but rather to the complex valence band structure of Cu2O.

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Section: Introductionmentioning

confidence: 99%

“…Besides a variety of new experimental and theoretical investigations on this topic [9,[17][18][19], the complex valence band structure of Cu 2 O has also moved into the focus once again [8,20].…”

Section: Introductionmentioning

confidence: 99%

Impact of the valence band structure ofCu2Oon excitonic spectra

Schweiner¹,

Main²,

Feldmaier³

et al. 2016

Phys. Rev. B

171

View full text Add to dashboard Cite

show abstract

“…The first observation of Rydberg excitons up to main quantum numbers n 25 = in Cu 2 O [1] has triggered in the meantime several investigations on various topics in the field, like the observation of excitons in high angular momentum states [2], the effect of magnetic and electric fields [3][4][5][6][7], quantum chaos [8][9][10], polariton effects [11] and to the occurrence of effects of non-parabolicity in the band structure [12]. The special properties of Rydberg excitons have also given rise to investigations of quantum optical effects like quantum coherences [13] and the use of Rydberg excitons as effective single photon sources [14].…”

Section: Introductionmentioning

confidence: 99%

Interaction of Rydberg excitons in cuprous oxide with phonons and photons: optical linewidth and polariton effect

2018

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We demonstrate that the optical linewidth of Rydberg excitons in Cu 2 O can be completely explained by scattering with acoustical and optical phonons, whereby the dominant contributions stems from the non-polar optical 3 Gand 5 Gmodes. The consequences for the observation of polariton effects are discussed. We find that an anti-crossing of photon and exciton dispersions exists only for states with main quantum numbers n>28, so polariton effects do not play any role in the experiments reported up to now.

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“…Recently, the corresponding hydrogenlike exciton absorption spectrum could be followed up to a principal quantum number of n = 25 in cuprous oxide (Cu 2 O) [2]. This recent experiment led to a variety of new theoretical and experimental investigations on the topic of excitons in Cu 2 O [3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

K-dependent exchange interaction of the1Sorthoexciton inCu2O

Schweiner¹,

Main²,

Uihlein³

2016

Phys. Rev. B

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When treating the exchange interaction of Wannier excitons, usually only the leading terms of the analytic and the nonanalytic exchange interaction are considered. However, higher order terms can lead to a splitting of exciton states, for which reason a splitting of the 1S exciton in cuprous oxide (Cu2O) depending on its total momentum K has been attributed to a K dependent analytic exchange interaction by Dasbach et al [Phys. Rev. Lett. 91, 107401 (2003)]. Going beyond the common treatment of the exchange interaction, we derive the correct expressions for these K dependent higher order terms using k · p perturbation theory. We prove that the appearance of a K dependent exchange interaction is inseparably connected with a K independent exchange interaction of P and D excitons. We estimate the magnitude of these terms for Cu2O from microscopic calculations and show that they are far too small to explain the observed K dependent splitting. Instead, this splitting has to be treated in terms of the dispersion of the excitons. Furthermore, we prove the occurence of a coupling between longitudinal and transverse excitons in Cu2O due to the K dependent nonanalytic exchange interaction.

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Optical properties of Rydberg excitons and polaritons

Cited by 45 publications

References 36 publications

Impact of the valence band structure ofCu2Oon excitonic spectra

Impact of the valence band structure ofCu2Oon excitonic spectra

Interaction of Rydberg excitons in cuprous oxide with phonons and photons: optical linewidth and polariton effect

K-dependent exchange interaction of the1Sorthoexciton inCu2O

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