Electronic structure via potential functional approximations
arXiv:1102.3638 · doi:10.1103/PhysRevLett.106.236404
Abstract
The universal functional of Hohenberg-Kohn is given as a coupling-constant integral over the density as a functional of the potential. Conditions are derived under which potential-functional approximations are variational. Construction via this method and imposition of these conditions are shown to greatly improve the accuracy of the non-interacting kinetic energy needed for orbital-free Kohn-Sham calculations.
References in corpus (2)
Cited by in corpus (24)
- Perspective on density functional theory
- By-passing the Kohn-Sham equations with machine learning
- O(N) methods in electronic structure calculations
- DFT: A Theory Full of Holes?
- Self-averaging stochastic Kohn-Sham density functional theory
- Semilocal Pauli-Gaussian Kinetic Functionals for Orbital-Free Density Functional Theory Calculations of Solids
- Stochastic Density Functional Theory at Finite Temperatures
- Locality of correlation in density functional theory
- Potential functionals versus density functionals
- Accelerating Equilibration in First-Principles Molecular Dynamics with Orbital-Free Density Functional Theory
- Leading gradient correction to the kinetic energy for two-dimensional fermion gases
- Airy-averaged gradient corrections for two-dimensional fermion gases
- Leading corrections to local approximations II (with turning points)
- Kinetic Energy Density Functionals by Axiomatic Approach
- Density functionals and Kohn-Sham potentials with minimal wavefunction preparations on a quantum computer
- Spherical Density Functional Theory
- Bypassing the malfunction junction in warm dense matter simulations
- Leading correction to the local density approximation for exchange in large- atoms
- First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures
- Deriving approximate functionals with asymptotics
- Large two-dimensional electronic systems: Self-consistent energies and densities at low cost
- Thermal stitching: Extending the reach of quantum fermion solvers
- Asymptotics of eigenvalue sums when some turning points are complex
- A novel proof of the DFT formula for the interatomic force field of Molecular Dynamics