![Sommerfeld Theory Colloquium (ASC) artwork](https://is4-ssl.mzstatic.com/image/thumb/Podcasts123/v4/30/33/8a/30338a2a-2f23-489d-fbff-e6c24c9783b5/mza_2740063126957564919.jpg/100x100bb.jpg)
The role of duality in transport in imperfect Luttinger liquid
Sommerfeld Theory Colloquium (ASC)
English - June 26, 2024 15:30 - 1 hour - 1.12 GB Video - ★★★★★ - 2 ratingsScience physics theoretical physics colloquium distinguished speakers astrophysics particle physics solid state physics quantum physics gravity Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
A single potential impurity can drastically change a low-temperature transport of strongly interacting particles in one dimension - a sys- tem which is known as the Luttinger liquid. An arbitrary weak backscattering of fermions from the impurity totally destroys their zero-temperature current while even a very strong backscattering of bosons makes no impact on their flow. On the other hand, a more complicated impurity (like a quantum dot or a double-barrier struc- ture with a resonant level) can preserve an ideal resonant conductance of fermions, or conversely lead (in a different geometry) to an ideal (i.e. infinite) resonant resistance. I emphasize the role of a so-called duality in these transport effects. The duality was related to the integrability of the Luttinger liquid with an impurity. I will show that - surprisingly - duality survives the addition of a non-local and retarded interaction (like electron-phonon) which almost certainly destroys the integrability.