Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe

Details Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe

2007-02-09

arxiv.org/abs/cond-mat/0702238v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/0953-8984/20/29/295210

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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