English

Bridging the gap between numerics and experiment in free standing graphene

Strongly Correlated Electrons 2023-11-21 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We report results of large-scale quantum Monte Carlo (QMC) simulations of graphene. Using cutting-edge algorithmic improvements, we are able to consider spatial volumes, corresponding to 20808 electrons, that allow us to access energy scales of direct relevance to experiments. Using constrained random phase approximation (cRPA) estimates of short-ranged interactions combined with a Coulomb tail, we are able to successfully confront numerical and experimental estimates of the Fermi velocity renormalization. These results and their comparison with perturbation theory not only show the non-Fermi liquid character of graphene, but also prove the importance of lattice-scale physics and higher-order perturbative corrections beyond RPA for the quantitative description of the experimental data for the Fermi velocity renormalization in suspended graphene.

Keywords

Cite

@article{arxiv.2104.09655,
  title  = {Bridging the gap between numerics and experiment in free standing graphene},
  author = {Maksim Ulybyshev and Savvas Zafeiropoulos and Christopher Winterowd and Fakher Assaad},
  journal= {arXiv preprint arXiv:2104.09655},
  year   = {2023}
}

Comments

Higher quality low temperature numerical data added, clear-cut suggestions for further experiments

R2 v1 2026-06-24T01:21:07.319Z