Two - Dimensional Electron Liquid in a Weak Magnetic Field

Details Two - Dimensional Electron Liquid in a Weak Magnetic Field Two - Dimensional Electron Liquid in a Weak Magnetic Field

1995-05-08

arxiv.org/abs/cond-mat/9505026v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.52.11296

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 $\hbar\omega_c$. The first energy scale, $(\hbar\omega_c/\nu)\ln\left(\nu r_s\right)$, appears in the one electron spectral density as the width of a pseudogap. The second scale, $r_s\hbar\omega_c$, is parametrically larger; it characterizes the exchange-enhanced spin splitting and the thermodynamic density of states.

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