Influence of Exciton Gas and Electron—Hole Plasma on Exciton Energy Levels

Röpke, G.; Seifert, Torsten; Stolz, H.; Zimmermann, R.

doi:10.1002/pssb.2221000122

Cited by 67 publications

(41 citation statements)

References 12 publications

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“…For the solution (21) of the Gaussian interaction (17), used in the Jastrow ansatz with parameter values given in Table III, we obtain for the Pauli blocking shift (30) the expression E Pauli,Jastrow…”

Section: Deuteron Quasiparticlesmentioning

confidence: 99%

Light nuclei quasiparticle energy shifts in hot and dense nuclear matter

2009

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Nuclei in dense matter are influenced by the medium. In the cluster mean-field approximation, an effective Schrödinger equation for the A-particle cluster is obtained accounting for the effects of the correlated medium such as self-energy, Pauli blocking, and Bose enhancement. Similar to the single-baryon states (free neutrons and protons), the light elements (2 A 4, internal quantum state ν) are treated as quasiparticles with energies E A,ν (P; T , n n , n p ). These energies depend on the center-of-mass momentum P, as well as temperature T and the total densities n n , n p of neutrons and protons, respectively. No β equilibrium is considered so that n n , n p (or the corresponding chemical potentials µ n , µ p ) are fixed independently. For the single-nucleon quasiparticle energy shift, different approximate expressions such as Skyrme or relativistic mean-field approaches are well known. Treating the A-particle problem in appropriate approximations, results for the cluster quasiparticle shifts are given. Properties of dense nuclear matter at moderate temperatures in the subsaturation density region considered here are influenced by the composition. This in turn is determined by the cluster quasiparticle energies, in particular the formation of clusters at low densities when the temperature decreases and their dissolution due to Pauli blocking as the density increases. Our finite-temperature Green function approach covers different limiting cases: the low-density region where the model of nuclear statistical equilibrium and virial expansions can be applied and the saturation-density region where a mean-field approach is possible.

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Section: Deuteron Quasiparticlesmentioning

confidence: 99%

Light nuclei quasiparticle energy shifts in hot and dense nuclear matter

2009

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“…This must not be taken too seriously since the excitonic shift decreases rapidly for rising temperature [8] whilst AP' is essentially independent of temperature [20]. It seems, however, highly questionable whether the low-density approach to A presented here may be extrapolated to such high values of nex where the 1s exciton is going to merge into the continuum (Mott condition).…”

Section: "mentioning

confidence: 99%

Screening in a System of Many Particles Composed of Two Charged Fermions Application to Excitons

Stolz¹,

Zimmermann²

1984

Physica Status Solidi (b)

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A many-particle system of composite particles cohsisting of two different fermions each and interacting by the Coulomb potential is considered. For the case that the composites are present in bound states only the constituent self-energy is calculated to linear order in the density taking all symmetries of the many-body wavefunctions into account. The correlational part (screening part) of the selfenergy is calculated in the Born collision approximation. Numerical values for the shift of the continuum-edge of the spectrum of excitons in GaAs are presented.Es wird ein Vielteilchensystem untersucht, dessen Teilchen je aus zwei verschiedenen Fermionen mit Coulomb-Wechselwirkung zusammengesetzt sind. Fur den Fall, daB die Teilchen nur in Bindungszustanden vorliegen, wird ihre Selbstenergie linear in der Dichte unter Beriicksichtigung aller Symmetrien der Wellenfunktionen berechnet. Der Korrt:lations-(Abschirmungs-)beitrag zur Selbstenergie wird iq Bornscher Naherung untersucht. Numerische Werte fur die Absenkung der Kontinuumskante der Exzitonen in GaAs werden angegeben.

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“…A rigorous approach to this electron-hole-exciton system embedded into a surrounding medium in equilibrium (density n, temperature T ) can be given by the method of thermodynamic Green functions. We will follow the approach according to the monography [1], see also [2,3], where the Bethe-Salpeter equation for the propagation of a two-particle cluster was investigated. The following effective wave equation (in-medium Schrödinger equation) for the electron-hole system has been derived yielding the eigenstates Ψ αP (1, 2) and the corresponding energy eigenvalues E αP :…”

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Mott effect and screening in quantum well structures

Reinholz¹,

Röpke²

2003

Contrib. Plasma Phys.

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We consider the formation of exciton bound states between electrons and holes in a 2D layer. The medium modifications of two-particle properties are obtained from a systematic Green function approach within a cluster mean field approximation. Contributions from correlations (excitons) in the medium are given. The importance of Pauli blocking on the shift of the ionization energy of excitons in comparison to screening is shown. Effective wave equation.Electrons and holes in a two-dimensional quantum well structure interact via the Coulomb potential V eh (q) = −e 2 /(2Ω 0 r 0 q) and can form bound states, the excitons. A rigorous approach to this electron-hole-exciton system embedded into a surrounding medium in equilibrium (density n, temperature T ) can be given by the method of thermodynamic Green functions. We will follow the approach according to the monography [1], see also [2,3], where the Bethe-Salpeter equation for the propagation of a two-particle cluster was investigated. The following effective wave equation (in-medium Schrödinger equation) for the electron-hole system has been derived yielding the eigenstates Ψ αP (1, 2) and the corresponding energy eigenvalues E αP :The single-particle states are given by the quantum numbers {1} = { p 1 , σ 1 , c 1 } describing linear momentum (two dimensional), spin and species (e, h), respectively. The bound states (excitons) are characterized by the total linear momentum P and internal quantum number α. The influence of the surrounding matter on the two-particle complex is described by the plasma HamiltonianThere are two important many-particle effects. Firstly, the interaction between the free particles as well as the bound states is considered in Born approximation, taking into account the full antisymmetrization of all fermionic states, also denoted as cluster-mean field approximation (mf). Secondly, the Coulomb interaction is dynamically screened by free as well as bound states (scr) as shown in [4]. The cluster-mean field terms (the Hartree terms vanish because of charge neutrality) are given as [5]V cc (12, 1 2 )Ψ α P (12)Ψ * α P (1 2 ) g eh (E α P ), V cc (13, 1 3 )Ψ * α P (23 )Ψ α P (2 3) g cc (E α P ) ,

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Influence of Exciton Gas and Electron—Hole Plasma on Exciton Energy Levels

Cited by 67 publications

References 12 publications

Light nuclei quasiparticle energy shifts in hot and dense nuclear matter

Light nuclei quasiparticle energy shifts in hot and dense nuclear matter

Screening in a System of Many Particles Composed of Two Charged Fermions Application to Excitons

Mott effect and screening in quantum well structures

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