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Electrons Lost in Phase Space
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abstract
I review the formalism of patch bosonization of Fermi surfaces, with a focus on the problem of a two-dimensional metal at a quantum critical point. I argue that this formalism is fundamentally inapplicable to the problem, except in synthetic limits. One such limit is the small-$N$ limit, which was already discussed in early studies of the problem; a similar but slightly less unphysical large-$N$ limit is proposed. I show that it is at least formally possible to construct perturbative expansions around these synthetic limits. However, I argue that nonperturbative effects become important when $N\sim1$.
Forward citations
Cited by 2 Pith papers
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Bosonized theory of de Haas-van Alphen quantum oscillation in Fermi liquids
For a 2D Fermi liquid, the de Haas-van Alphen amplitudes are derived from the zero-mode sector of a coadjoint-orbit bosonized action, yielding LK-like low-T behavior and a second harmonic A2 that changes sign at high T.
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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.
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