Tunneling, dissipation, and superfluid transition in quantum Hall bilayers.
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 an excitonic 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.
Wang
Ziqiang
Z
Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA.