Abstract

We present a theory describing the low-energy properties of an interacting two-dimensional electron gas in a magnetic field at large non-integer filling factors v ≫ 1. For a moderate interaction strength, r s < 1, we find two energy scales controlling the electron dynamics at energies less than ħω c. The first energy scale, (ħω c/ v)ln( vr s), appears in the one electron spectral density as the width of a pseudogap. The second and larger scale, r sħω c, characterizes the exchange-enhanced spin splitting and the thermodynamic density of states.

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