Collective-Excitation Gap in the Fractional Quantum Hall Effect
- 11 February 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (6) , 581-583
- https://doi.org/10.1103/physrevlett.54.581
Abstract
We present a theory of the collective excitation spectrum in the fractional quantum Hall-effect regimes, in analogy with Feynman's theory for helium. The spectrum is in excellent quantitative agreement with the numerical results of Haldane. Within this approximation we prove that a finite gap is generic to any liquid state in the extreme quantum limit and that in this single-mode approximation gapless excitations can arise only as Goldstone modes for ground states with broken translation symmetry.Keywords
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