Space-time Supercrystals from Non-Abelian Electric Translation Symmetries
Abstract
Electronic supercrystals can form in spatial or temporal dimensions where traditional mechanisms usually require many-body interactions, such as Wigner crystals or discrete time crystals. We propose a novel approach for electronic supercrystals in 1+1D without requiring many-body interactions, but arising from the competition between characteristic space-time areas in periodically driven Su-Schrieffer-Heeger lattices under electric fields. Utilizing the non-Abelian dynamical symmetries described by the electric translation group, the area competition is characterized by fractal spectra and replicated bands, furnished with eigenstates crystallized in enlarged space-time unit cells forming space-time supercrystals under perturbations. We also report robust dynamical localization of electrons arising from the static topology of the SSH lattice.
Cite
@article{arxiv.2409.13260,
title = {Space-time Supercrystals from Non-Abelian Electric Translation Symmetries},
author = {Jian Wang and James Jun He and Qian Niu},
journal= {arXiv preprint arXiv:2409.13260},
year = {2025}
}