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Two-phonon scattering of magnetorotons in fractional quantum Hall liquids

V. M. Apalkov·M. E. Portnoi
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Abstract

We study the phonon-assisted process of dissociation of a magnetoroton, in a fractional quantum Hall liquid, into an unbound pair of quasiparticles. Whilst the dissociation is forbidden to first order in the electron-phonon interaction, it can occur as a two-phonon process. Depending on the value of final separation between the quasiparticles, the dissociation is either a single event involving absorption of one phonon and emission of another phonon of similar energy, or a two-phonon diffusion of a quasiexciton in momentum space. The dependence of the magnetoroton dissociation time on the filling factor of the incompressible liquid is found.

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V. M. Apalkov, M. E. Portnoi. 2001-12-05. Two-phonon scattering of magnetorotons in fractional quantum Hall liquids. https://doi.org/10.1103/physrevb.66.121303

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