Non-fermi liquid as passive scalar fluid

Jonathan Miller

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arXiv · cond-mat/9906398

Non-fermi liquid as passive scalar fluid

Jonathan Miller

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Abstract

I suggest that electron localization by random flux and passive transport in quenched velocity fields in two dimensions be studied as perturbations of the simple operator ${\cal K}={\bf A} \cdot \nabla$, with incompressible velocity field/vector potential ${\bf A}=\nabla \times ϕ=(-\partial_y,\partial_x)ϕ$. This operator has an infinitely degenerate subspace of zero energy eigenstates, arising from incompressibility, that are {\it extended} for generic $ϕ({\bf x})$ and are expected to remain so under perturbation. I propose that an anomaly accounts qualitatively for properties of the spectrum and eigenstates of ${\cal K}$ and its perturbations.

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Jonathan Miller. 1999-11-20. Non-fermi liquid as passive scalar fluid. https://arxiv.org/abs/cond-mat/9906398

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