Exploring excited eigenstates of many-body systems using the functional renormalization group
Strongly Correlated Electrons
2018-05-23 v4
Abstract
We introduce approximate, functional renormalization group based schemes to obtain correlation functions in pure excited eigenstates of large fermionic many-body systems at arbitrary energies. The algorithms are thouroughly benchmarked and their strengths and shortcomings are documented using a one-dimensional interacting tight-binding chain as a prototypical testbed. We study two `toy applications' from the world of Luttinger liquid physics: the survival of power laws in lowly-excited states as well as the spectral function of high-energy `block' excitations which feature several single-particle Fermi edges.
Cite
@article{arxiv.1711.01127,
title = {Exploring excited eigenstates of many-body systems using the functional renormalization group},
author = {Christian Klöckner and Dante Marvin Kennes and Christoph Karrasch},
journal= {arXiv preprint arXiv:1711.01127},
year = {2018}
}
Comments
17 pages, 8 figures; Corrected typos, improving some explanations; results unaffected