Simulating multi-node Weyl semimetals in a Mixed Floquet lattice

Abstract

In this work, we simulate Weyl semimetal phases with multi-nodes containing 2, 4, 6, and 8 Weyl nodes, in a mixed Floquet synthetic lattice generated by driving a one-dimensional chain with two incommensurate drives. In contrast to the integer-quantized response of Chern insulators, we obtain a momentum-resolved power-transfer signature, where coupling the drives to fixed momenta results in quantized power-transfer for each 2D slice corresponding to that momentum, thereby locating the Weyl nodes in the low-frequency limit. Further, we explicitly show for the Weyl phase with 2 nodes, in the adiabatic limit, the half-filled state exchanges energy between the two drives at a rate that converges to the projected Weyl-node separation equal to the Fermi-arc length of the Weyl semimetal.

6 pages with 3 figures