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Finite frequency noise in a chiral Luttinger liquid coupled to phonons

Finite frequency noise in a chiral Luttinger liquid coupled to phonons

We study transport between quantum Hall edge states at filling factor $\ensuremath{\nu}=1$ in the presence of electron-acoustic-phonon coupling. After a Bogoliubov-Valatin transformation, the low-energy spectrum of interacting electron-phonon system is presented. The electron-phonon interaction splits the spectrum into charged and neutral ``downstream'' and neutral ``upstream'' modes with different velocities. In …