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Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe

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arxiv cond-mat/0702238 v1 pith:PIYJFTVT submitted 2007-02-09 cond-mat.mes-hall cond-mat.str-el

Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe

Kelly R. Patton , Michael R. Geller This is my paper
classification cond-mat.mes-hall cond-mat.str-el
keywords catastrophetunnelingdensityelectroninfraredstatessystemabruptly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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