Four-loop critical exponents for the Gross-Neveu-Yukawa models
Four-loop critical exponents for the Gross-Neveu-Yukawa models
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DOI：
10.1103/physrevd.96.096010
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发表时间：
2017-09
影响因子：
5
通讯作者：
N. Zerf;L. Mihaila;P. Marquard;I. Herbut;M. Scherer
中科院分区：
文献类型：
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作者：
N. Zerf;L. Mihaila;P. Marquard;I. Herbut;M. Scherer
我们研究了四环阶的手征Ising、手征XY和手征Heisenberg模型，并在$4-epsilon维微扰重整化群上计算了Gross-neeu-Yukawa不动点的临界指数.此外，我们还给出了关联长度指数、玻色子和费米子反常维度以及2+1维标度指数的先导修正的Pad估计.我们还证实了手征Ising模型和手征XY模型的四圈超对称场理论的出现.此外，我们还讨论了我们的结果在Dirac和Weyl半金属背景下的各种量子跃迁中的应用，包括石墨烯的相互作用诱导跃迁和拓扑绝缘体的表面态.
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.