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

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 1 .eps figure, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.66.073308

We analyze here the behavior of the Hall conductivity $\sigma_{xy}$ 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 $\eta$, and depends non-monotonically on $H$ once $\eta$ is weak enough. $\sigma_{xy}$ passes through a maximum at $H \sim \eta T$ in the quantum critical regime, suggesting that the limits $H \to 0$ and $\eta \to 0$ do not commute.

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