Kavli Affiliate: Leon Balents
| First 5 Authors: Takamori Park, Xiaoyang Huang, Lucile Savary, Leon Balents,
| Summary:
We systematically derive the dissipationless quantum kinetic equation for a
multi-band free fermionic system with U(1) symmetry. Using the Moyal product
formalism, we fully band-diagonalize the dynamics. Expanding to the second
order in gradients, which is beyond the semiclassical limit, we give a complete
analysis of the band-resolved thermodynamics and transport properties,
especially those arising from the quantum geometric tensor. We apply our
framework to a Bloch band theory under electric fields near equilibrium and
find the linear and nonlinear transport coefficients. We also obtain the
dynamical density-density response functions in the metallic case, including
quantum metric corrections. Our results and approach can be applied very
generally to multi-band problems even in situations with spatially varying
Hamiltonians and distributions.
| Search Query: ArXiv Query: search_query=au:”Leon Balents”&id_list=&start=0&max_results=3