Multicomponent Electron–Hole Liquid in Si/SiGe Quantum Wells

Stability of electron–hole liquid in quantum wells

“…Calculations for three-component EHL in the case of U = 1 yield close values (figure 4). For a more detailed comparison of the calculation results with experimental ones in SiGe and Si quantum wells, one needs to take into account the anisotropy of electron masses [13,14].…”

“…Below, we use the excitonic system of units, i.e., length and energy are measured in the units of exciton Bohr radius a ex = ε 2 /μe 2 and exciton Rydberg Ry ex = e 2 / 2εa ex , respectively (here, ε is the dielectric constant, μ = m e m h /(m e + m h ) is the reduced mass, and m e and m h are the electron and hole masses, respectively). To calculate the EHL energy, we use the model put forward in [14,15]. In the framework of density functional theory, the total energy of electrons and two types of holes is written as…”

“…In recent studies [13][14][15], density functional theory was used to calculate the EHL energy and find the equilibrium density of electron-hole pairs in quantum wells. The calculation results for SiO 2 /Si and Si/SiGe quantum wells [13,14] are in good agreement with experimental data [4][5][6][7][8]. In this paper, we also use density functional theory to study EHL in quantum wells.…”