Four-loop critical exponents for the Gross-Neveu-Yukawa models
We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in 4−ε dimensions and compute critical exponents for the Gross-Neveu-Yukawa fixed points to order O(ε4). Further, we provide Padé estimates for the correlation l...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
14 November 2017
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| In: |
Physical review
Year: 2017, Volume: 96, Issue: 9, Pages: 096010 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.96.096010 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.96.096010 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.96.096010 
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| Author Notes: | Nikolai Zerf, Luminita N. Mihaila, Peter Marquard, Igor F. Herbut, and Michael M. Scherer |
| Summary: | We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in 4−ε dimensions and compute critical exponents for the Gross-Neveu-Yukawa fixed points to order O(ε4). Further, we provide Padé 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. |
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| Item Description: | Gesehen am 28.11.2017 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.96.096010 |