Excitation spectrum and effective mass of the even-fraction quantum Hall liquid

Abstract

To probe the nature of the even-fraction quantum Hall system, we have investigated the low-lying excitation spectrum by means of exact diagonalization for finite systems. We have found (i) a striking one-to-one correspondence (i.e., a shell structure) between the spectrum and those for free (composite) fermions, (ii) a surprisingly straight scaling plot for the excitation energy that gives a zero gap (metal) in the thermodynamic limit, (iii) the effective mass evaluated from the scaling becoming heavier for filling factor = 1/2, 1/4, 1/6, but (iv) some deviations from the single-mode or the Hartree-Fock composite fermion approximation as well.

4 pages, REVTeX format, 4 eps-figures

References in corpus (4)

• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• Towards a field theory of the fractional quantum Hall states
• Half-filled Landau level as a Fermi liquid of dipolar quasiparticles
• Effective Mass of Composite Fermions and Fermionic Chern-Simons Theory in Temporal Gauge

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• Effective mass staircase and the Fermi liquid parameters for the fractional quantum Hall composite fermions
• Extrapolation method in shell model calculations with deformed basis
• Fermions out of Dipolar Bosons in the lowest Landau level
• Ground state phase diagram of 2D electrons in high magnetic field
• Interaction and dimensionality in the quantum Hall physics