Six-dimensional time-space crystalline structures

Time crystalline structures are characterized by regularity that single-particle or many-body systems manifest in the time domain, closely resembling the spatial regularity of ordinary space crystals. Here we show that time and space crystalline structures can be combined together and even six-dimensional time-space lattices can be realized. As an example, we demonstrate that such time-space crystalline structures can reveal the six-dimensional quantum Hall effect quantified by the third Chern number.

Automated summary

Time crystalline structures exhibit regularity in the time domain similar to spatial regularity in ordinary space crystals, and can be combined to form six-dimensional time-space lattices, revealing the six-dimensional quantum Hall effect quantified by the third Chern number.