85 citations · 770 across the 43 of their papers we have counts for
8 papers · 1 filter
Resonant fractional conductance through a 1D Wigner chain
Rose Davies, Igor V. Lerner, Igor V. Yurkevich
In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zer…
One-Dimensional Transport of Ultracold Bosons
Igor V. Lerner
Advances in cooling and trapping of atoms have enabled unprecedented experimental control of many-body quantum systems. This led to the observation of numerous quantum phenomena, i…
Berezinskii-Kosteriltz-Thouless transition in disordered multi-channel Luttinger liquids
Max Jones, Igor V. Lerner, Igor V. Yurkevich
We study the phase transition between conducting and insulating states taking place in disordered multi-channel Luttinger liquids with inter-channel interactions. We derive renorma…
Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
Igor V. Yurkevich, Alexey Galda, Oleg M. Yevtushenko +1
We study electronic transport in a Luttinger liquid (LL) with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are couple…
Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level
Alexey Galda, Igor V. Yurkevich, Igor V. Lerner
We show that electron-phonon coupling strongly affects transport properties of the Luttinger liquid hybridized with a resonant level. Namely, this coupling significantly modifies t…
Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
Alexey Galda, Igor V. Yurkevich, Igor V. Lerner
We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization grou…
Quantum Wire Hybridized with a Single-Level Impurity
Igor V. Lerner, Vladimir I. Yudson, Igor V. Yurkevich
We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridiza…
Functional Integral Bosonization for Impurity in Luttinger Liquid
Alex Grishin, Igor V. Yurkevich, Igor V. Lerner
We use a functional integral formalism developed earlier for the pure Luttinger liquid (LL) to find an exact representation for the electron Green function of the LL in the presenc…