Nonuniqueness of the Potentials of Spin-Density-Functional Theory
arXiv:cond-mat/0006116 · doi:10.1103/PhysRevLett.86.5546
Abstract
It is shown that, contrary to widely held beliefs, the potentials of spin-density-functional theory (SDFT) are not unique functionals of the spin densities. Explicit examples of distinct sets of potentials with the same ground-state densities are constructed, and general arguments that uniqueness should not occur in SDFT and other generalized density-functional theories are given. As a consequence, various types of applications of SDFT require significant corrections or modifications.
4 pages, no figures
References in corpus (1)
Cited by in corpus (38)
- Spin in Density-Functional Theory
- Nonuniqueness and derivative discontinuities in density-functional theories for current-carrying and superconducting systems
- Density functional theory in one-dimension for contact-interacting fermions
- Spin gaps and spin-flip energies in density-functional theory
- Transverse and longitudinal gradients of the spin magnetization in Spin-Density-Functional Theory
- The Kohn-Sham system in one-matrix functional theory
- The many-electron ground-state determines uniquely the potential in Spin-Density-Functional Theory for non-collinear magnetism
- Nonuniqueness in spin-density-functional theory on lattices
- Thermodynamics as an alternative foundation for zero-temperature density functional theory and spin density functional theory
- Violation of non-interacting -representability of the exact solutions of the Schrödinger equation for a two-electron quantum dot in a homogeneous magnetic field
- Optimized Effective Potential Method in Current-Spin Density Functional Theory
- Finite Size Corrections to Entanglement in Quantum Critical Systems
- On the thermodynamical analogy in spin-polarized density functional theory
- Derivative of the Lieb definition for the energy functional of density functional theory with respect to the particle number and the spin number
- Spin-density-functional theory: some open problems and application to inhomogeneous Heisenberg models
- Degenerate ground states and nonunique potentials: breakdown and restoration of density functionals
- Uniqueness of density-to-potential mapping for fermionic lattice systems
- Exact Maps in Density Functional Theory for Lattice Models
- Hohenberg-Kohn theorems for interactions, spin and temperature
- Some Problems in Density Functional Theory
- Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
- Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II. The Pauli Hamiltonian
- Density-Wavefunction Mapping in Degenerate Current-Density-Functional Theory
- Geometrical Perspective on Spin-Lattice Density-Functional Theory
- Exchange-correlation vector potentials and vorticity-dependent exchange-correlation energy densities in two-dimensional systems
- Kinetic energy functionals and the -representability of the electron pair-density given by the classical map hyper-netted-chain (CHNC) method
- Effects of Strong Interactions in a Half Metallic Magnet: a Determinant Quantum Monte Carlo Study
- Insights into Phase Transitions and Entanglement from Density Functional Theory
- A representability problem in density functional theory for superconductors
- Scaling the spin densities separately in density functional theory
- Thermodynamic extension of density-functional theory. II. Finite-temperature ensemble spin-density functional theory
- Exchange-correlation energy densities for two-dimensional systems from quantum dot ground-states
- Exposing minimal composition of Kohn-Sham theory and its extendability
- Coarse-grained spin density-functional theory: infinite-volume limit via the hyperfinite
- Exact and approximate relations for the spin-dependence of the exchange energy in high magnetic fields
- Density-Functional Theory on Graphs
- Wick rotation derivation for weak values of the density and time-dependent density functional theory
- One-to-one correspondence between thermal structure factors and coupling constants of general bilinear Hamiltonians