Self-consistent continuum random-phase approximation with finite-range interactions for charge-exchange excitations

Self-consistent random-phase approximation for a two-dimensional electron gas at finite temperatures

For a two-dimensional electron gas with Coulomb interaction, we have applied the Kadanoff-Baym-Keldysh approach to calculate numerically equilibrium Green’s functions at finite temperatures. The method used is based on iterative numerical computation of the retarded self-energy in the self-consistent random-phase approximation approximation. We have computed electron distribution, quasiparticle...

Continuum elasticity theory of edge excitations in a two-dimensional electron liquid with finite range interactions

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with the following simplifying assumptions: (i) The system is macroscopically homogeneous and isotropic in the half-plane delimited by the edge (ii) The electron-...

Cubic-scaling algorithm and self-consistent field for the random-phase approximation with second-order screened exchange.

The random-phase approximation with second-order screened exchange (RPA+SOSEX) is a model of electron correlation energy with two caveats: its accuracy depends on an arbitrary choice of mean field, and it scales as O(n(5)) operations and O(n(3)) memory for n electrons. We derive a new algorithm that reduces its scaling to O(n(3)) operations and O(n(2)) memory using controlled approximations and...

Finite Rank Separable Approximation for Skyrme Interactions: Spinäisospin Excitations

Continuum HFB calculations with finite range pairing interactions

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing field is constructed with a Gogny force. An iterative scheme is used for solving the integro-differential HFB equations via the introduction of a local equivalen...