Ground state fractal crystals

TL;DR

This paper introduces the concept of ground state fractal crystals, a new form of crystalline order where each unit cell exhibits fractal structure, expanding the understanding of possible ground states in condensed matter systems.

Contribution

The paper presents a novel CSDF model that demonstrates the existence of ground state fractal crystals, a new class of crystalline order with fractal unit cells.

Findings

Ground state fractal crystals can be modeled using CSDF.

Fractal unit cells are stable in the proposed model.

The model broadens the scope of crystalline structures in physics.

Abstract

We propose a generalization of the crystalline order: the ground state fractal crystal. We demonstrate that by deriving a simple continuous-space-discrete-field (CSDF) model whose ground state is a crystal where each unit cell is a fractal.