Temperature dependence of homogeneous broadening of the 1<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:math>paraexciton in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Cu</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:mtext>O</mml:mtext></mml:mrow></mml:math>

Brandt, J.; Felbier, Patrick; Fröhlich, D.; Sandfort, Christian; Bayer, М.; Stolz, H.

doi:10.1103/physrevb.81.155214

Cited by 8 publications

(5 citation statements)

References 22 publications

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“…1. For scattering of 1S paraexcitons where 1 W  for both electrons and holes at exciton wave vectors smaller than 1/ B a the value 𝐷 𝑒 − 𝐷 ℎ = 1.7 eV is very well established from diffusion experiments [21], strain measurements [22] and paraexcitons propagation beats [23].…”

Section: Scattering Rates and Linewidthmentioning

confidence: 91%

“…Obviously, any experimental verification of these splittings by e.g. polariton beats [23,35] will be a challenging task! Despite the lack of anti-crossing, the polariton concept has important consequences for the exciton dynamics, as it allows one to define unambiguously the coherence volume of the excitons [32].…”

Section: Oscillator Strength Radiative Lifetime and Polariton Effect ...mentioning

confidence: 99%

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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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Section: Scattering Rates and Linewidthmentioning

confidence: 91%

Section: Oscillator Strength Radiative Lifetime and Polariton Effect ...mentioning

confidence: 99%

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

2018

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“…As shown in the previous section, the intensity of this process is determined both by the coupling strength S 0 and by the excitonic damping. This quantity has been extensively analysed by measurements of the paraexcitonic absorption as a function of temperature and exciton density [28,42]. For a bath temperature T = 0.82 K, we can read off γ 0 = 0.025 µeV, while for the scattering length we use a S = 2.1a B = 1.5 nm from a quantum Monte Carlo calculation [43].…”

Section: Radiative Ratesmentioning

confidence: 99%

“…with i= PP, OO, OP denoting the scattering species. Assuming the volume rates a i to be temperature independent [16,17,19], equation (42) results in a dependence of the form…”

Section: Conversion Of Orthoexcitons Into Paraexcitons By the Densitymentioning

confidence: 99%

Dynamics of excitons in a potential trap at ultra-low temperatures: paraexcitons in Cu₂O

et al. 2012

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We present experiments on the luminescence of excitons confined in a potential trap at sub-Kelvin temperatures after nanosecond pulsed laser excitation. Analysis of the experimental results with a rate model shows that the so-called Auger decay of yellow excitons, which in previous studies led to a rapid decay of the excitons at high densities and thus prevented reaching the critical density for Bose-Einstein condensation (BEC), is greatly reduced for paraexcitons. We demonstrate that exciton numbers well above 10 10 can be collected in a potential trap, albeit at temperatures in the 10 K range. During their lifetime of about 500 ns the paraexcitons cool down to the temperature of the He bath. This opens up the possibility to observe a BEC of paraexcitons provided that the bath temperature can be reduced to below 100 mK.(1) with 0 being the average oscillator frequency of the trapping potential and ζ the Riemann zeta function, decreases much faster with temperature, T , than in free space.Due to their unique properties, the excitons of the so-called yellow series in the semiconductor cuprous oxide (Cu 2 O) are still considered one of several promising candidates for excitonic BEC (for reviews see [4][5][6]). This is related to the large binding energy of 150 meV, which shifts the Mott density to 10 19 cm −3 at cryogenic temperatures [7,8]. Made up of doubly degenerate valence and conduction bands, the ground state of this series splits into the triply degenerate orthoexciton and the nondegenerate paraexciton, which is the energetically lowest exciton state, = 12.1 meV below the orthoexciton states. Due to the positive parity of the bands, the orthoexciton is only weakly optically allowed (quadrupole transition with oscillator

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“…A central problem in the dynamics of excitons at milli-Kelvin temperatures is the relaxation and thermalisation by a contact to a bath of thermal phonons, as the acoustical modes will freeze out [63]. Therefore, we have simulated the relaxation of hot, laser excited excitons by assuming interactions with longitudinal acoustic phonons and Auger-like two-particle decay in a potential trap by integrating the Boltzmann equation [28].…”

Section: Appendix a Strain Hamiltonian For Electron-hole Statesmentioning

confidence: 99%

Condensation of excitons in Cu₂O at ultracold temperatures: experiment and theory

Stolz¹,

Schwartz²,

Kieseling³

et al. 2012

New J. Phys.

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We present experiments on the luminescence of excitons confined in a potential trap at milli-Kelvin bath temperatures under continuous-wave (cw) excitation. They reveal several distinct features like a kink in the dependence of the total integrated luminescence intensity on excitation laser power and a bimodal distribution of the spatially resolved luminescence. Furthermore, we discuss the present state of the theoretical description of Bose-Einstein condensation of excitons with respect to signatures of a condensate in the luminescence. The comparison of the experimental data with theoretical results with respect to the spatially resolved as well as the integrated luminescence intensity shows the necessity of taking into account a Bose-Einstein condensed excitonic phase in order to understand the behaviour of the trapped excitons.

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Temperature dependence of homogeneous broadening of the 1Sparaexciton inCu2O

Cited by 8 publications

References 22 publications

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

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

Dynamics of excitons in a potential trap at ultra-low temperatures: paraexcitons in Cu₂O

Condensation of excitons in Cu₂O at ultracold temperatures: experiment and theory

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Temperature dependence of homogeneous broadening of the 1Sparaexciton inCu2O

Cited by 8 publications

References 22 publications

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

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

Dynamics of excitons in a potential trap at ultra-low temperatures: paraexcitons in Cu2O

Condensation of excitons in Cu2O at ultracold temperatures: experiment and theory

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Product

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Dynamics of excitons in a potential trap at ultra-low temperatures: paraexcitons in Cu₂O

Condensation of excitons in Cu₂O at ultracold temperatures: experiment and theory