Tunneling, dissipation, and superfluid transition in quantum Hall bilayers

Details Tunneling, dissipation, and superfluid transition in quantum Hall bilayers Tunneling, dissipation, and superfluid transition in quantum Hall bilayers

2003-06-22

arxiv.org/abs/cond-mat/0306553v3

Phys. Rev. Lett. 92, 136803 (2004).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevLett.92.136803

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.

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