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TT: Fachverband Tiefe Temperaturen
TT 25: Nonequilibrium Quantum Systems I (joint session TT/DY)
TT 25.4: Talk
Tuesday, March 19, 2024, 10:15–10:30, H 3005
Quantum geoemtry and dynamics in in-homogeneous fields — •Chen Xu1,2, Andreas Haller1, Suraj Hegde2, Tobias Meng2, and Thomas L. Schmidt1 — 1Department of Physics and Materials Science, University of Luxembourg, Luxembourg — 2Faculty of Physics, TU Dresden, Germany
We revisit the problem of nonequilibrium semiclassical electron transport in the presence of inhomogeneous external perturbations. For this purpose, we study the quantum geometry of Bloch band structure beyond the Berry connection contribution. We provide a systematic way of obtaining semiclassical equations of motion in an N-band system and for higher order variations in inhomogeneities, we compute geometric corrections containing for example Berry phase and quantum geometric tensor. We also demonstrate how to derive the dynamics from a generic coupling between Bloch momentum and an inhomogeneous external field, thus generalizing previous studies.
Keywords: quantum geometry; semi-classical dynamics