B. Davoudi

Self-consistent Overhauser model for the pair distribution function of an electron gas in dimensionalities D = 3 and D = 2

We present self-consistent calculations of the spin-averaged pair distribution function g(r) for a homogeneous electron gas in the paramagnetic state in both three and two dimensions, based on an extension of a model thatwas originally proposed by Overhauser [Can. J. Phys. 73, 683 (1995)] and further evaluated by Gori-Giorgi and Perdew [Phys. Rev. B 64, 155102 (2001)]. The model involves the solution of a two-electron scattering problem via an effective Coulombic potential, which we determine within a self-consistent Hartree approximation. We find numerical results for g(r) that are in excellent agreement with quantum Monte Carlo data at low and intermediate coupling strength r s , extending up to r s 10 in dimensionality D= 3. However. the Hartree approximation does not properly account for the emergence of a first-neighbor peak at stronger coupling, such as at r s =5 in D=2, and has limited accuracy in regard to the spin-resolved components g (r) and g h (r). We also report calculations of the electron-electron s-wave scattering length, to test an analytical expression proposed by Overhauser in D=3 and to present new results in D=2 at moderate coupling strength. Finally, we indicate how this approach can be extended to evaluate the pair distribution functions in inhomogeneous electron systems and hence to obtain improved exchange-correlation energy functionals.

Analytical expressions for the charge-charge local-field factor and the exchange-correlation kernel of a two-dimensional electron gas

We present an analytical expression for the static many-body local field factor

Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

{G}_{+}(q)

Analytical expressions for the spin-spin local-field factor and the spin-antisymmetric exchange-correlation kernel of a two-dimensional electron gas

of a homogeneous two-dimensional electron gas, which reproduces diffusion Monte Carlo data and embodies the exact asymptotic behaviors at both small and large wave number q. This allows us to also provide a closed-form expression for the exchange and correlation kernel

Analytic theory of correlation energy and spin polarization in the 2D electron gas

{K}_{\mathrm{xc}}(r),

Hard-core Yukawa model for two-dimensional charge-stabilized colloids.

which represents a key input for density functional studies of inhomogeneous systems.

Spin polarization in a two-dimensional electron gas

Motivated by a large number of recent magnetotransport studies we have revisited the problem of the microscopic calculation of the quasiparticle effective mass in a paramagnetic two-dimensional (2D) electron liquid (EL). Our systematic study is based on a generalized

Effective mass enhancement in two-dimensional electron systems: the role of interaction and disorder effects

GW

Pair densities at contact in the quantum electron gas

approximation which makes use of the many-body local fields and takes advantage of the results of the most recent QMC calculations of the static charge- and spin-response of the 2D EL. We report extensive calculations for the many-body effective mass enhancement over a broad range of electron densities. In this respect we critically examine the relative merits of the on-shell approximation, commonly used in weak-coupling situations, {\it versus} the actual self-consistent solution of the Dyson equation. We show that already for

Spin-density functional approach to thermodynamic and structural consistence in the charge and spin response of an electron gas

r_s \simeq 3