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- W2607715293 abstract "Dirac and Weyl fermions appear as quasiparticle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional universality classes related to the variants of the Gross-Neveu model. In this paper we study the bosonized version of the standard Gross-Neveu model---the Gross-Neveu-Yukawa theory---at three-loop order, and compute critical exponents in $4ensuremath{-}ensuremath{epsilon}$ dimensions for a general number of fermion flavors. Our results fully encompass the previously known two-loop calculations, and agree with the known three-loop results in the purely bosonic limit of the theory. We also find the exponents to satisfy the emergent superscaling relations in the limit of a single-component fermion, order by order up to three loops. Finally, we apply the computed series for the exponents and their Pad'e approximants to several phase transitions of current interest: metal-insulator transitions of spin-1/2 and spinless fermions on the honeycomb lattice, emergent supersymmetric surface field theory in topological phases, as well as the disorder-induced quantum transition in Weyl semimetals. Comparison with the results of other analytical and numerical methods is discussed." @default.
- W2607715293 created "2017-05-05" @default.
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- W2607715293 date "2017-10-17" @default.
- W2607715293 modified "2023-10-14" @default.
- W2607715293 title "Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems" @default.
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- W2607715293 doi "https://doi.org/10.1103/physrevb.96.165133" @default.
- W2607715293 hasPublicationYear "2017" @default.
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