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Zerf, Nikolai; Mihaila, Luminita N.; Herbut, Igor F.; Scherer, Michael M.
Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)2017
Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)2017
AbstractAbstract
[en] 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 Pade 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.
Source
Sep 2017; 18 p; ISSN 0418-9833; 

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Report
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ANOMALOUS DIMENSION, CHIRALITY, CORRECTIONS, CORRELATION FUNCTIONS, DIELECTRIC MATERIALS, ENERGY LEVELS, FEYNMAN DIAGRAM, GRAPHENE, HEISENBERG MODEL, ISING MODEL, LAGRANGIAN FIELD THEORY, PADE APPROXIMATION, PERTURBATION THEORY, RENORMALIZATION, SEMIMETALS, SUPERSYMMETRY, SURFACES, THREE-DIMENSIONAL CALCULATIONS, TOPOLOGY, YUKAWA NONLOCAL THEORY
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