Abstract
One important result of Laughlin’s theory was the observation that the elementary charged excitations in a stable state v = 1/m are the quasiparticles and quasiholes with fractional electron charge of ±e/m. If one electron is added to the system, it amounts to adding m elementary excitations and hence, the discontinuity in slope of the energy curve can be written as
where E g is the energy required to create one quasiparticle (with energy ε̃ p) and one quasihole (with energy ε̃ h) well separated from each other. The pinning of the density to v = 1/3 suggests that there will be no low frequency phonon-type of excitations at long wavelengths.
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Chakraborty, T., Pietiläinen, P. (1988). Elementary Excitations. In: The Fractional Quantum Hall Effect. Springer Series in Solid-State Sciences, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97101-3_3
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DOI: https://doi.org/10.1007/978-3-642-97101-3_3
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