Two-phonon scattering of magnetorotons in fractional quantum Hall liquids

Details Two-phonon scattering of magnetorotons in fractional quantum Hall liquids Two-phonon scattering of magnetorotons in fractional quantum Hall liquids

2001-12-05

arxiv.org/abs/cond-mat/0112062v1

Phys. Rev. B 66, 121303(R) (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevB.66.121303

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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