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Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D

Denis Dalidovich·Philip Phillips
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Abstract

We analyze here the behavior of the Hall conductivity $σ_{xy}$ near a $z=2$ insulator-superconductor quantum critical point in a perpendicular magnetic field. We show that the form of the conductivity is sensitive to the presence of dissipation $η$, and depends non-monotonically on $H$ once $η$ is weak enough. $σ_{xy}$ passes through a maximum at $H \sim ηT$ in the quantum critical regime, suggesting that the limits $H \to 0$ and $η\to 0$ do not commute.

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Denis Dalidovich, Philip Phillips. 2002-06-17. Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D. https://doi.org/10.1103/physrevb.66.073308

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