1997Physical review. B, Condensed matterOpen access

Fermi-sea-like correlations in a partially filled Landau level

R. K. Kamilla, J. K. Jain, S. M. Girvin

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Abstract

The pair-distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a ${2k}_{F}$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level. Surprisingly, it is found that filled Landau levels of composite fermions, i.e., incompressible fractional quantum Hall effect states, bear a stronger resemblance to a Fermi sea than do filled Landau levels of electrons.

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The pair-distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a ${2k}_{F}$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level. Surprisingly, it is found that filled Landau levels of composite fermions, i.e., incompressible fractional quantum Hall effect states, bear a stronger resemblance to a Fermi sea than do filled Landau levels of electrons.

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Available abstract

The pair-distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a ${2k}_{F}$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level. Surprisingly, it is found that filled Landau levels of composite fermions, i.e., incompressible fractional quantum Hall effect states, bear a stronger resemblance to a Fermi sea than do filled Landau levels of electrons.

Key concepts: Landau quantization, Composite fermion, Physics, Quantum Hall effect, Filling factor, Shubnikov–de Haas effect, Condensed matter physics, Quantum oscillations

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