Four-loop critical exponents for the Gross-Neveu-Yukawa models

• Verfasst von: Zerf, Nikolai [VerfasserIn]
• Verfasst von: Mihaila, Luminita [VerfasserIn]
• Verfasst von: Scherer, Michael [VerfasserIn]
• Titel: Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Verf.angabe: Nikolai Zerf, Luminita N. Mihaila, Peter Marquard, Igor F. Herbut, and Michael M. Scherer
• Jahr: 2017
• Umfang: 18 S.
• Fussnoten: Gesehen am 15.12.2020
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2017
• Band/Heft Quelle: (2017) Artikel-Nummer 1709.05057, 18 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: High Energy Physics - Phenomenology
• Sach-SW: High Energy Physics - Theory
• Sach-SW: Condensed Matter - Strongly Correlated Electrons
• K10plus-PPN: 1570669120

Abstract

We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents for the Gross-Neveu-Yukawa fixed points to order $\mathcal{O}(\epsilon^4)$. Further, we provide Pad\'e estimates for the correlation length exponent, the boson and fermion anomalous dimension as well as the leading correction to scaling exponent in 2+1 dimensions. We also confirm the emergence of supersymmetric field theories at four loops for the chiral Ising and the chiral XY models with $N=1/4$ and $N=1/2$ fermions, respectively. Furthermore, applications of our results relevant to various quantum transitions in the context of Dirac and Weyl semimetals are discussed, including interaction-induced transitions in graphene and surface states of topological insulators.