Second order functional renormalization group approach to one-dimensional systems in real and momentum space
Mesoscale and Nanoscale Physics
2017-12-20 v2 Strongly Correlated Electrons
Abstract
We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the translational invariant case in a k-space formalism. The strengths and shortcomings of the different schemes as well as technical details of their implementation are discussed. We use the method to study two proof-of-principle problems in the realm of Luttinger liquid physics, namely reflection at interfaces and power laws in the occupation number as a function of crystal momentum.
Keywords
Cite
@article{arxiv.1710.06373,
title = {Second order functional renormalization group approach to one-dimensional systems in real and momentum space},
author = {Björn Sbierski and Christoph Karrasch},
journal= {arXiv preprint arXiv:1710.06373},
year = {2017}
}
Comments
9 pages