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arXiv 1907.00682cond-mat.str-elmath-phmath.MP
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相互作用Weyl半金属中的反常非重整化

Anomaly non-renormalization in interacting Weyl semimetals

A. Giuliani, V. Mastropietro, M. Porta

摘要:

外尔半金属是三维凝聚态系统,其特征是由一对“外尔节点”组成的简并费米表面。相应地,在红外极限,这些系统的行为有效地作为外尔费米子在$3+1$维度。我们考虑一类相互作用的三维晶格模型Weyl半金属和证明Weyl节点之间的准粒子流的二次响应是普遍的,即,独立的相互作用的强度和形式。普适性是对应的手征异常的红外出射描述,这是证明在这里的存在下,在一个非微扰的水平上的Adler-Barnard非重整化属性。我们的证明依赖于与格点沃德恒等式相结合的欧氏基态关联的构造性边界,并且在任意接近Weyl点合并且相对论描述失效的临界点处都是有效的。

英文摘要:

Weyl semimetals are 3D condensed matter systems characterized by a degenerate Fermi surface, consisting of a pair of `Weyl nodes'. Correspondingly, in the infrared limit, these systems behave effectively as Weyl fermions in $3+1$ dimensions. We consider a class of interacting 3D lattice models for Weyl semimetals and prove that the quadratic response of the quasi-particle flow between the Weyl nodes is universal, that is, independent of the interaction strength and form. Universality is the counterpart of the Adler-Bardeen non-renormalization property of the chiral anomaly for the infrared emergent description, which is proved here in the presence of a lattice and at a non-perturbative level. Our proof relies on constructive bounds for the Euclidean ground state correlations combined with lattice Ward Identities, and it is valid arbitrarily close to the critical point where the Weyl points merge and the relativistic description breaks down.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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