Kubo formula for dc conductivity: Generalization to systems with spin-orbit coupling

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from ∂H/∂p, where H is the Hamiltonian and p is the canonical momentum. Moreover, we find an additional contribution to t...

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Bibliographic Details
Main Authors: I. A. Ado, M. Titov, Rembert A. Duine, Arne Brataas
Format: Article
Language:English
Published: American Physical Society 2024-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.L012057