Fractionalized Kohn-Sham Scheme for Strongly Correlated Electrons

Abstract

We propose to expand the territory of density functional theory to strongly correlated electrons by reformulating the Kohn-Sham scheme in the representation of fractionalized particles. We call it the ``KS* scheme.'' Using inhomogeneous $t$-$J$ chains as a test bed, we show that the KS* scheme with simple local density approximation is able to achieve accurate ground-state energy and density distribution comparable to the density matrix renormalization group method, while the computational complexity is much lower.

7 pages, 4 figures. Updated to match published version in Phys. Rev. Lett. 134, 136505 (2025)

References in corpus (3)

• The density-matrix renormalization group in the age of matrix product states
• Strong correlation in Kohn-Sham density functional theory
• Geometrical Perspective on Spin-Lattice Density-Functional Theory

Cited by in corpus (1)

• Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems