$\nu =1/2$ Bilayer Tunnelling

Abstract

Tunneling of electrons between two $\nu =1/2$ quantum Hall parallel planes is studied. In order to calculate the physical electron Green's function, the Chern-Simons gauge field formalism is used, both in a perturbative many-body calculation and in a semiclassical calculation. In contrast to recent experiments, no gap in the physical electron density of states is found. A conjecture is made that either perturbation theory about the mean field Fermi liquid ground state is inadequate, or that disorder within the interplanar barrier plays a role.

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