Tunneling into a two-dimensional electron system in a strong magnetic field

Abstract

We investigate the properties of the one-electron Green's function in an interacting two-dimensional electron system in a strong magnetic field, which describes an electron tunneling into such a system. From finite-size diagonalization, we find that its spectral weight is suppressed near zero energy, reaches a maximum at an energy of about $0.2e^2/\epsilon l_c$, and decays exponentially at higher energies. We propose a theoretical model to account for the low-energy behavior. For the case of Coulomb interactions between the electrons, at even-denominator filling factors such as $\nu =1/2$, we predict that the spectral weight varies as $e^{-{\omega }_0/|\omega |}$, for $\omega \to 0$.

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