Oscillator strength of a two-dimensional D ion in magnetic fields

In the present paper we determine the oscillator strength of two-dimensional (2D) D⁻ ions under the influence of a static magnetic field. The results are important for the analysis of the optical transitions observed in semiconductor quantum wells. We have applied the ab initio procedure Hyperspherical Adiabatic Approach, based on the use of hyperspherical coordinates. This approach uses an adiabatic separation of the total wave function that allows accurate energies determination from molecular-like potential curves. The convergence is obtained in a systematic way by the inclusion of non-adiabatic couplings without the need of adjustable parameters.     

Wigner function of a two-dimensional electron gas in a magnetic field

The Wigner function of a two-dimensional electron gas in an arbitrary magnetic field perpendicular to the plane in which the electrons are confined is constructed rigorously. The function is useful in taking various statistical averages and illuminates the roles played by the hyperbolic functions of the field which appear in the expressions of the susceptibility and other physical quantities.     

Light-induced effect on the density distribution in a sample of cold trapped atoms

As it is known [1] an intense laser field can induce atom-atom interaction according to a dipole-dipole R ^–3 law. Such an interaction depends on the angle between light polarization and interatomic vector-position R. This angular dependence may produce an anisotropy in the spatial density distribution of the confined sample of cold atoms. We develop the main relations and apply them to the case of an atomic cloud of cold trapped neutral atoms with the density higher than or of the order of ^–3, where is the wavelength of light. The results presented here show the effect of such an interaction in a density regime of high experimental interest.     

On the ground state energy of a two-dimensional electron fluid

A new theory of the ground state energy of a two-dimensional electron fluid is presented. It is shown that the ring diagram contribution changes its analytical behavior atr _s =2^1/2, wherer _s is the usual density parameter defined by r_S = 1/a ₀( n)^1/2,a ₀ being the Bohr radius andn is the electron density. For smallr _s , a high density series is obtained in agreement with the previous calculation. For larger _s , a hitherto unknown low density series is obtained. In the low density region, the first order exchange energy is completely cancelled out by a term from the ring contribution so that the ground state energy decreases in proportion tor _s ^–2/3 , followed byr _s ^/–4/3 and higher order terms. The energy is found to be minimum atr _s=1.4757, the minimum value being –0.481915 Rydbergs.     

Application of a dielectric function to the exchange energy and specific heat of a two-dimensional electron gas

A new theory based on a dielectric function and its sum rule is presented for the exchange energy and specific heat of a two-dimensional electron gas. The results are exact towards absolute zero.     

Oscillating susceptibility andg factor of a two-dimensional electron fluid

By making use of a sum rule, the exchange contribution to the grand partition function is obtained for a two-dimensional electron fluid in a strong magnetic field at low temperatures. The dHvA type oscillations of the dielectric constant, internal energy and effectiveg factor are derived explicitly. The amplitude of the oscillations of the effectiveg factor is found to depend on density rather strongly.     

Oscillating susceptibility andg factor of a two-dimensional electron fluid

By making use of a sum rule, the exchange contribution to the grand partition function is obtained for a two-dimensional electron fluid in a strong magnetic field at low temperatures. The dHvA type oscillations of the dielectric constant, internal energy and effectiveg factor are derived explicitly. The amplitude of the oscillations of the effectiveg factor is found to depend on density rather strongly.This work was supported by the ONR under Contract N00014-79-C-0451     

Longitudinal dielectric constant for quantum wells

We have calculated the longitudinal dielectric constant for a GaAs-AlGaAs quantum well structure. In particular, the total contribution to the transitions is taken as a sum of separate contributions of the regions around the Λ, X, and L symmetry points of the Brillouin zone. Since the electron- and hole-state are quantized in a well formed by potential barriers of the hetrojunction, the static dielectric constant is significantly reduced. For a well width of 2 nm and barriers formed by Al_.35Ga_.65As, the reduction is almost 20%.