Exchange-correlation orbital functionals in current-density-functional theory: Application to a quantum dot in magnetic fields

Abstract

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a two-dimensional quantum dot in external magnetic fields is investigated. Excellent agreement with quantum Monte Carlo results is obtained when self-interaction corrected correlation energies from the standard local spin-density approximation are added to exact-exchange results. Full self-consistency within the complete current-spin-density-functional framework is found to be of minor importance.

5 pages, 2 figures, submitted to PRB

References in corpus (5)

• Optimized Effective Potentials in Finite Basis Sets
• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Comparison of exact-exchange calculations for solids in current-spin-density- and spin-density-functional theory
• Optimized Effective Potential Method in Current-Spin Density Functional Theory
• Electron localization function for two-dimensional systems

Cited by in corpus (15)

• The choice of basic variables in current-density functional theory
• Becke-Johnson-type exchange potential for two-dimensional systems
• Gaussian approximations for the exchange-energy functional of current-carrying states: Applications to two-dimensional systems
• Density gradients for the exchange energy of electrons in two dimensions
• Correlation energy of two-dimensional systems: Toward non-empirical and universal modeling
• Orbital-free energy functional for electrons in two dimensions
• Gauge-Invariant Formulation of Spin-Current-Density Functional Theory
• Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Correlation energy of anisotropic quantum dots
• Semi-local Exchange Energy Functional For Two-Dimensional Quantum Systems: A Step Beyond Generalized Gradient Approximations
• Many-body effects on the ${\rho }_{xx}$ ringlike structures in two-subband wells
• Exchange-correlation potentials for inhomogeneous electron systems in two dimensions from exact diagonalization: comparison with the local-spin-density approximation
• Exact-exchange density functional theory of the integer quantum Hall effect: strict 2D limit
• Stability of spin droplets in realistic quantum Hall devices