Possible fractal structure of exact universal exchange-correlation potential

TL;DR

This paper presents heuristic arguments suggesting that the exact universal exchange-correlation potential in density functional theory likely possesses a fractal structure, which could have implications for understanding electronic interactions.

Contribution

It introduces the novel idea that the exact exchange-correlation potential may have a fractal nature, a concept not previously considered in density functional theory.

Findings

Heuristic arguments support fractal structure hypothesis.

Implications for electronic structure calculations.

Potential new directions for functional development.

Abstract

Heuristic arguments are presented to show that the basic quantity of density functional theory - exact universal exchange-correlation potential should have fractal structure.