Tilted-Plane Structure of the Energy of Finite Quantum Systems

AC Burgess, E Linscott, DD O'Regan - Physical Review Letters, 2024 - APS
The piecewise linearity condition on the total energy with respect to the total magnetization
of finite quantum systems is derived using the infinite-separation-limit technique. This …

Flat plane based double-counting free and parameter free many-body

AC Burgess, DD O'Regan - Physical Review B, 2024 - APS
The recently introduced BLOR corrective exchange-correlation functional [AC Burgess,
Phys. Rev. B 107, L121115 (2023) 10.1103/PhysRevB. 107. L121115] is, by construction …

Geometry of degeneracy in potential and density space

M Penz, R van Leeuwen - Quantum, 2023 - quantum-journal.org
In a previous work [J. Chem. Phys. 155, 244111 (2021)], we found counterexamples to the
fundamental Hohenberg-Kohn theorem from density-functional theory in finite-lattice …