Coadjoint-orbit bosonization shows the de Haas-van Alphen phase shift is governed by the static anomalous Hall conductance, with Berry-curvature corrections to the Lifshitz-Kosevich amplitude.
(Pre-)Modern (Non-)Fermi liquids
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This note addresses the problem of constructing a proper bosonized description of the collective modes in strongly interacting (non-)Fermi liquids which is specific to two spatial dimensions. Although, in a mild form, this subtlety exists in the Fermi liquid as well, the discussion focuses on the effects of long-ranged and/or retarded interactions which can completely destroy the fermionic quasiparticles. The present analysis also provides a further insight into the nature and properties of the collective bosonic modes in such systems.
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Berry Phase and Quantum Oscillation from Multi-orbital Coadjoint-orbit Bosonization
Coadjoint-orbit bosonization shows the de Haas-van Alphen phase shift is governed by the static anomalous Hall conductance, with Berry-curvature corrections to the Lifshitz-Kosevich amplitude.