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Chern-Simons versus dipolar composite fermions at finite wavevector

2000/08/09 by Yong Baek Kim, Kim, Yong Baek
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0008141

11 pages

arxiv created 2000/08/09 · openalex publication_date 2000/08/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was recently shown that dipolar composite fermions emerged from the lowest-Landau-level formulation of the quantum Hall effect give rise to similar results as those of the Chern-Simons gauge theory in the long wavelength and low energy limit. We ask whether this correspondence is still valid at finite wavevectors where the excitations do not necessarily look like dipolar quasiparticles. In particular, q=2kF density-density response function of the compressible state at ν=1/2 is evaluated in the low energy limit within the framework of the lowest-Landau-level theory. The imaginary parts of the density-density response functions at q=2kF of two theories have the same √ω dependence. However, the coefficient of the √ω term in the case of the lowest-Landau-level theory is not universal and can be much smaller than the corresponding coefficient in the Chern-Simons theory. We also discuss possible connection between these results and the recent experiment on phonon-mediated drag in the double-layer ν=1/2 system.

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