Projected-interacting full configuration interaction plus regularized perturbation theory: DFT-inspired wavefunction
1Department of Chemistry and Biochemistry, Texas Christian University, 2800 S. University Dr., Fort Worth, Texas 7629, USA.
Abstract:
The computational design of molecular quantum devices requires methods that capture "the quantum and the chemistry," approaching chemical accuracy for large numbers of entangled and/or strongly correlated electrons. Projected-interacting full configuration interaction (PiFCI) is a candidate for such simulations, providing a formally exact and systematically improvable approximation for correlation in large active spaces. PiFCI extends Kohn-Sham density functional theory by introducing multiple reference systems, each experiencing an electron-electron interaction projected onto one or more one-electron states. Compact CI expansions yield near-exact reference system wavefunctions, and projected exchange-correlation (XC) density functionals enable formally exact combinations of reference system correlation energies. This work presents a general treatment of the projected interactions in PiFCI and introduces regularized second-order many-body perturbation theory (MP2) as an approximate projected XC functional. Numerical results show that PiFCI plus regularized MP2 can accurately treat dynamical and nondynamical correlation in relatively large active spaces, including stacks of entangled singlet-coupled tetrathiafulvalene and phenalenyl organic radicals modeling molecular quantum devices.
Related Concept Videos
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Valence Bond Theory and Hybridized Orbitals
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
Molecular Orbital Theory II
Molecular Orbital Theory I
Van der Waals Equation
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...


