- Starting from the Keldysh theory, for a general low-energy N-band Hamiltonian in the clean limit, we perform a manifestly U(1) x SU(N) gauge-invariant semiclassical expansion. A generalized Berry curvature tensor is shown to control a redistribution of spectral weights. New expressions for certain physical quantities ensue, establishing the limits of a previously proposed correction to the density of states. In the two-band case, we derive a completely general semiclassical kinetic theory including all O(h) quantum corrections. As an application, we show how one can recover, out of a single simple calculation, the chiral anomaly, intrinsic anomalous Hall conductivity and chiral magnetic effect, in all generality. The demonstrated flexibility and efficiency of our formalism derives from the insulation it provides from the underlying complexity of the quantum kinetics, notwithstanding its rigorous connection to this deeper level.

Valet, T., Raimondi, R. (2023). Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities. EUROPHYSICS LETTERS, 143(2) [10.1209/0295-5075/ace379].

Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities

Valet, Thierry
Membro del Collaboration Group
;
Raimondi, Roberto
Membro del Collaboration Group
2023-01-01

Abstract

- Starting from the Keldysh theory, for a general low-energy N-band Hamiltonian in the clean limit, we perform a manifestly U(1) x SU(N) gauge-invariant semiclassical expansion. A generalized Berry curvature tensor is shown to control a redistribution of spectral weights. New expressions for certain physical quantities ensue, establishing the limits of a previously proposed correction to the density of states. In the two-band case, we derive a completely general semiclassical kinetic theory including all O(h) quantum corrections. As an application, we show how one can recover, out of a single simple calculation, the chiral anomaly, intrinsic anomalous Hall conductivity and chiral magnetic effect, in all generality. The demonstrated flexibility and efficiency of our formalism derives from the insulation it provides from the underlying complexity of the quantum kinetics, notwithstanding its rigorous connection to this deeper level.
2023
Valet, T., Raimondi, R. (2023). Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities. EUROPHYSICS LETTERS, 143(2) [10.1209/0295-5075/ace379].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/468688
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