Ground state fractal crystals

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.

12 pages, 13 figures

References in corpus (2)

• Ring solitons and soliton sacks in imbalanced fermionic systems
• A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets