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Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe

Kelly R. Patton·Michael R. Geller
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Abstract

We calculate the tunneling density of states of a two-dimensional interacting electron gas in a quantizing magnetic field. We show that the observed pseudogap in the density of states can be understood as the result of an infrared catastrophe in a noninteracting electron model. This catastrophe stems from the response of an electronic system to the potential produced by the abruptly added charge during a tunneling event. Our formalism can be applied at any filling factor without the use of Chern-Simons or composite fermion theory.

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Kelly R. Patton, Michael R. Geller. 2007-02-09. Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe. https://doi.org/10.1088/0953-8984%2F20%2F29%2F295210

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