Self-duality and long-wavelength behavior of the Landau-level guiding-center structure function, and the shear modulus of fractional quantum Hall fluids

2011/12/05 by F. D. M. Haldane, Haldane, F. D. M. · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Semiconductor Quantum Structures and Devices #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1112.0990

openalex publication_date 2011/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A remarkable self-duality of the "guiding-center" structure function s(q) of particles in a partially-filled 2D Landau level is used to express the long-wavelength collective excitation energy of fractional quantum Hall fluids in terms of a shear modulus. A bound on the small-q behavior of s(q) is given.

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