New relations between spin and charge dynamics of the Fermi Hubbard model
Hui Zhai, Ning Sun, Jinlong Yu +1 more
Utilizing the Fermi gas microscope, recently the MIT group has measured the spin transport of the Fermi Hubbard model (FHM) starting from a spin-density-wave state, and the Princeton group has measured the charge transport of the FHM starting from a charge-density-wave state. Motivated by these two experiments, we prove a theorem that shows under certain conditions, the spin and charge transports can be equivalent to each other. The proof makes use of the particle-hole transformation of the FHM and a recently discovered symmetry protected dynamical symmetry. Our results can be directly verified in future cold atom experiment with the Fermi gas microscope.
arXiv:1808.07225•New Journal of Physics•Dec 20, 2018•2 citations