Theory of Activated Transport in Bilayer Quantum Hall Systems

Abstract

We analyze the transport properties of bilayer quantum Hall systems at total filling factor $\nu =1$ in drag geometries as a function of interlayer bias, in the limit where the disorder is sufficiently strong to unbind meron-antimeron pairs, the charged topological defects of the system. We compute the typical energy barrier for these objects to cross incompressible regions within the disordered system using a Hartree-Fock approach, and show how this leads to multiple activation energies when the system is biased. We then demonstrate using a bosonic Chern-Simons theory that in drag geometries, current in a single layer directly leads to forces on only two of the four types of merons, inducing dissipation only in the drive layer. Dissipation in the drag layer results from interactions among the merons, resulting in very different temperature dependences for the drag and drive layers, in qualitative agreement with experiment.

4 pages, 2 figures

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• Graphene Bilayer Structures with Superfluid Magnetoexcitons
• Vortex states of a disordered quantum Hall bilayer
• Transport in Coherent Quantum Hall Bilayers
• Breakdown of counterflow superfluidity in a disordered quantum Hall bilayer
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Transport properties of ν=1 quantum Hall bilayers. Phenomenological description
• Stationary waves in a superfluid exciton gas in quantum Hall bilayers
• Locking and unlocking of the counterflow transport in nu=1 quantum Hall bilayers by tilting of magnetic field
• Electron-hole pairing in topological insulator heterostructures in the quantum Hall state