Two - Dimensional Electron Liquid in a Weak Magnetic Field

Abstract

We present an effective theory describing the low-energy properties of an interacting 2D electron gas at large non-integer filling factors $\nu \gg 1$. Assuming that the interaction is sufficiently weak, $r_s<1$, we integrate out all the fast degrees of freedom, and derive the effective Hamiltonian acting in the Fock space of the partially filled Landau level only. This theory enables us to find two energy scales controlling the electron dynamics at energies less than $\hslash {\omega }_c$. The first energy scale, $(\hslash {\omega }_c/\nu )\ln \left(\nu r_s\right)$, appears in the one electron spectral density as the width of a pseudogap. The second scale, $r_s\hslash {\omega }_c$, is parametrically larger; it characterizes the exchange-enhanced spin splitting and the thermodynamic density of states.

Submitted in Phys. Rev. B, 30 pages, 3 figures upon request

References in corpus (7)

• Tunneling into a two-dimensional electron system in a strong magnetic field
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Tunneling Between Two-Dimensional Electron Gases in a Strong Magnetic Field
• Stability and effective masses of composite-fermions in the first and second Landau Level
• Tunneling into a Two-Dimensional Electron Liquid in a Weak Magnetic Field
• Instantons and the spectral function of electrons in the half-filled Landau level
• Fractional quantum Hall effect in higher Landau levels

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