Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission

TL;DR

This paper introduces a numerically exact quantum Monte Carlo method to study electron transport in a Luttinger liquid with arbitrary barrier transmission, revealing universal lineshapes and supporting the correlated sequential tunneling model.

Contribution

It develops a new quantum Monte Carlo approach for analyzing transport in Luttinger liquids with arbitrary barriers, providing insights into resonant tunneling and Coulomb blockade phenomena.

Findings

Broad Fabry-Perot Coulomb blockade peaks at strong transmission

Universal non-Lorentzian lineshapes at low temperatures

Support for the correlated sequential tunneling model in weak transmission

Abstract

A numerically exact dynamical quantum Monte Carlo approach has been developed and applied to transport through a double barrier in a Luttinger liquid with arbitrary transmission. For strong transmission, we find broad Fabry-Perot Coulomb blockade peaks, with a lineshape parametrized by a single parameter, but at sufficiently low temperatures, non-Lorentzian universal lineshapes characteristic of coherent resonant tunneling emerge, even for strong interactions. For weak transmission, our data supports the recently proposed correlated sequential tunneling picture and is consistent with experimental results on intrinsic nanotube dots.