Quantum statistics of an electron–hole plasma

Abstract

Thermodynamic functions of an electron-hole plasma in an optically excited semiconductor are derived in the nondegenerate region. The existence of excitons and the ionization equilibrium are discussed in the me-T (electron density-temperature) plane. Above the Mott curve (r, = 0.84 a,, r, screening length, a, Bohr's radius) excitons do not exist. Besides the well known electron-hole droplet phase transition the critical point of which lies above the Mott curve, a region of instability is found below the Mott curve which might correspond t o a plasma phase transition (weakly ionized plasma -+ strongly ionized plasma). Outside of this instability region a t the Mott curve a diffuse phase transition (Mott-transition) exists.Es werden thermodynamische Bunktionen fur ein Elektron-Loch-Plasma in einem optisch angeregten IIalbleiter fur den nichtentarteten Fall berechnet. Die Bildung von Exzitonen und das Ioriisationsgleichgewicht werden in der ne-T (Elektronendichte-Temperatur)-Ebene diskutiert. Oberhalb der Mott-Kurve (yo = 0.84 a,, r, Abschirmlange, a, Bohrscher Radius) existieren keine Exzitonen. AuDer dem bekannten Elektronen-Loch-TropfenPhasenubergang, dessen kritischer Punkt oberhalb der Mott-Kurve liegt, findet man ein Instabilitatsgebiet unterhalb der Mott-Kurve, welches moglicherweise einem Plasma-Phaseniibergang entsprioht (schwach ionisiertes Plasma + stark ionisiertes Plasma). AuBerhalb dieses Instabilitlitsgebietes findet man an der Mott-Geraden einen diffusen Phasenubergang (Mott -Uberg ang ).

Thermodynamic origin of the slow free exciton photoluminescence rise in GaAs

“…The population balance between Coulomb-bound free excitons and the uncorrelated EHP is described by the Saha equation [35,36] n e n h n X = k B T X 2π 2 3/2 m e m h m X…”

Multiple Scattering Contributions to the Electrical Conductivity of Non‐Ideal Plasmas:. II. Three Particle Scattering

“…On the basis of the mass action law [9] the relation between n,* and n, n,* = n,*(n,, T) is depicted in fig. 1.…”

“…A t temperatures T 5 0(104 K) only the lowest order boundstate is of importance for (8) due to the mass action law [9] (cf. [ 11, fig.…”

“…1. Relation between the total numberdensity of electrons and free electrons according to [9] fig. 4 where the maximum difference between the two treatments is 20%.…”

Coexisting phases in an electron—hole plasma

“…with the violation of the inequalities ( p chemical potential, n, total density of electrons). Violations of (1.1) were found in the theory of degenerate plasmas (.,A: > 1; A, = h/(2nmt kBT)1/2 thermal wavelength) [2,3,111 and of non-degenerate plasmas (%,At < 1) as well [4,5].…”