Scherer, M. (2022). Dirac criticality from field theory beyond the leading order. Perimeter Institute for Theoretical Physics. https://pirsa.org/22050037
MLA
Scherer, Michael. Dirac criticality from field theory beyond the leading order. Perimeter Institute for Theoretical Physics, May. 18, 2022, https://pirsa.org/22050037
BibTex
@misc{ scivideos_PIRSA:22050037,
doi = {10.48660/22050037},
url = {https://pirsa.org/22050037},
author = {Scherer, Michael},
keywords = {Quantum Matter},
language = {en},
title = {Dirac criticality from field theory beyond the leading order},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2022},
month = {may},
note = {PIRSA:22050037 see, \url{https://scivideos.org/pirsa/22050037}}
}
Two-dimensional gapless Dirac fermions emerge in various condensed-matter settings. In the presence of interactions such Dirac systems feature critical points and the precision determination of their exponents is a prime challenge for quantum many-body methods. In a field-theoretical language, these critical points can be described by Gross-Neveu-Yukawa-type models and in my talk I will show some results on Gross-Neveu critical behavior using field theoretical approaches beyond the leading order. To that end, I will first present higher-loop perturbative RG calculations for generic Gross-Neveu-Yukawa models and compare estimates for the exponents with recent corresponding results from Quantum Monte Carlo simulations and the conformal bootstrap. Then, I will discuss a more exotic variant of Gross-Neveu-Yukawa models which describes the interacting fractionalized excitations of two-dimensional frustrated spin-orbital magnets. Here, we have provided field-theoretical estimates for the critical exponents employing higher-order epsilon expansion, large-N calculations, and functional renormalization group.