Calculation of properties of the electron-hole liquid in uniaxially stressed Ge and Si

Journal Article · Tue Jun 15 04:00:00 EDT 1982 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.25.7631· OSTI ID:7087957

Kelso, S M

We present a detailed theoretical study of the stress dependence of properties of the electron-hole liquid, both at zero and finite temperatures, in <111>-stressed Ge and <100>-stressed Si. These properties include the ground-state equilibrium density, pair energy, electron and hole Fermi energies, sign of the electron-hole drop charge, luminescence linewidth, and liquid compressibility. The results are compared at T = 0 to the calculations of Kirczenow and Singwi and at Troughly-equal2 K to the available data. We discuss the possibility of a phase transition associated with the depopulation of the upper electron valleys in Ge. We also discuss methods of extrapolating from finite to infinite stress. The importance of the nonparabolicity of the valence bands is emphasized throughout. We discuss ranges of validity for a low-temperature expansion of the free energy. Results are presented for the systematic low-temperature variation of the liquid density, Fermi energy, and chemical potential and for the critical temperature and density. These theoretical results are found to be in reasonably good agreement with available data. Finally, we discuss scaling relations for combinations of electron-hole--liquid properties.

• Research Organization: Physics Department, University of California, Berkeley, California 94720 and Materials and Molecular Research Division, Lawrence Berkeley Laboratory, Berkeley, California 94720, and Bell Laboratories, Murray Hill, New Jersey 07974
• OSTI ID: 7087957
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 25:12; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360104* -- Metals &amp; Alloys-- Physical Properties
ABSOLUTE ZERO TEMPERATURE
COMPRESSIBILITY
CORRELATIONS
DENSITY
ELECTRON CORRELATION
ELECTRON-HOLE DROPLETS
ELEMENTS
ENERGY
ENERGY LEVELS
EXCHANGE INTERACTIONS
FERMI LEVEL
FREE ENERGY
GERMANIUM
GROUND STATES
INTERACTIONS
LINE WIDTHS
LUMINESCENCE
MECHANICAL PROPERTIES
METALS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
PLASMA
SCALING LAWS
SEMIMETALS
SERIES EXPANSION
SILICON
SOLID-STATE PLASMA
STRESSES
THERMODYNAMIC PROPERTIES
ULTRALOW TEMPERATURE
VALENCE