Energy in a finite two-dimensional spinless electron gas

Spin-dependent correlation in a two-dimensional electron gas: Finite temperature effects

Using the Singwi–Tosi–Land–Sjolander theory, we have studied the many-body effects in the two-dimensional electron gas with arbitrary polarization at finite temperatures. We have calculated the structure factors, pair correlation functions, local-field factors and the Helmholtz free energy for different values of spin polarization, temperature and density parameter. We have shown that the spin ...

Local Field Correction Effect on Dicluster Stopping Power in a Strongly Coupled Two-Dimensional Electron Gas System

We calculate the stopping power for heavy-ion diclusters moving in a strongly coupled two-dimensional electron gas system by using the local field corrected dielectric function at finite temperature. We obtain a parameterized local field correction factor based on a relation between the thermal compressibility and exchange-correlation energy in two-dimension. The interpolated parameter is deriv...

Exchange-correlation energy for a two-dimensional electron gas in a magnetic field.

We present the results of a variational Monte Carlo calculation of the exchange-correlation energy for a spin-polarized two-dimensional electron gas in a perpendicular magnetic field. These energies are a necessary input to the recently developed current-density functional theory. Landau-level mixing is included in a variational manner, which gives the energy at finite density at finite field, ...

Finite-Size Effects in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interaction

Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas

We calculate the Hartree-Fock energy of a density-wave in a spin polarized twodimensional electron gas using a short-range repulsive interaction. We find that the stable ground state for a short-range potential is always either the paramagnetic state or the uniform ferromagnetic state. The energy of a density-wave state is, however, reduced by a factor proportional to (1 − ζ), where ζ is the po...