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

Abstract

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.

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

References in corpus (4)

• Effects of dissipation on quantum phase transitions
• Zero-temperature d-wave superconducting phase transition
• On the possibility of a metallic phase in granular superconducting films
• Transport Properties near the z=2 Insulator-Superconductor Transition

Cited by in corpus (3)

• Universal conductance of nanowires near the superconductor-metal quantum transition
• Quantum critical dynamics of the two-dimensional Bose gas
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field