## arXiv Analytics

### arXiv:1903.06144 [cond-mat.mes-hall]AbstractReferencesReviewsResources

#### Finite frequency noise in chiral Luttinger liquid coupled to phonons

Published 2019-03-14Version 1

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation 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 the regimes of dc and periodic ac biases the tunelling current and non-equilibrium finite frequency non-symmetrized noise are calculated perturbatively in tunneling coupling of quantum point contact (QPC). We show that the presence of electron-phonon interaction strongly modifies noise and current relations compared to free-fermion case.

Related articles: Most relevant | Search more
arXiv:1208.0729 [cond-mat.mes-hall] (Published 2012-08-03, updated 2012-09-24)
Finite frequency noise in a quantum point contact between helical edge states
arXiv:1412.4996 [cond-mat.mes-hall] (Published 2014-12-16)
Finite frequency noise for Laughlin state investigated by a resonant circuit
arXiv:1010.2117 [cond-mat.mes-hall] (Published 2010-10-11)
Spectroscopy of electron flows with single- and two-particle emitters