Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
Strongly Correlated Electrons
2019-03-13 v2
Abstract
An impurity in a Tomonaga-Luttinger liquid leads to a crossover between short- and long-distance regime which describes many physical phenomena. However, calculation of the entire crossover of correlation functions over different length scales has been difficult. We develop a powerful numerical method based on infinite DMRG utilizing a finite system with infinite boundary conditions, which can be applied to correlation functions near an impurity. For the chain, we demonstrate that the full crossover can be precisely obtained, and that their limiting behaviors show a good agreement with field-theory predictions.
Cite
@article{arxiv.1805.05006,
title = {Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid},
author = {Chung-Yu Lo and Yoshiki Fukusumi and Masaki Oshikawa and Ying-Jer Kao and Pochung Chen},
journal= {arXiv preprint arXiv:1805.05006},
year = {2019}
}