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

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

1993-06-08

arxiv.org/abs/cond-mat/9306020v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevLett.71.777

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 $\omega\rightarrow 0$.

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