Tunneling, dissipation, and superfluid transition in quantum Hall bilayers

Abstract

We study bilayer quantum Hall systems at total Landau level filling factor $\nu =1$ in the presence of interlayer tunneling and coupling to a dissipative normal fluid. Describing the dynamics of the interlayer phase by an effective quantum dissipative XY model, we show that there exists a critical dissipation ${\sigma }_c$ set by the conductance of the normal fluid. For $\sigma >{\sigma }_c$, interlayer tunnel splitting drives the system to a $\nu =1$ quantum Hall state. For $\sigma <{\sigma }_c$, interlayer tunneling is irrelevant at low temperatures, the system exhibits a superfluid transition to a collective quantum Hall state supported by spontaneous interlayer phase coherence. The resulting phase structure and the behavior of the in-plane and tunneling currents are studied in connection to experiments.

4 RevTex pages, revised version, to appear in Phys. Rev. Lett

References in corpus (1)

• Phase Diagram for Quantum Hall Bilayers at $\nu =1$

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