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• W2724902894 abstract "The Weyl semimetals are topologically protected from a gap opening against weak disorder in three dimensions. However, a strong disorder drives this relativistic semimetal through a quantum transition towards a diffusive metallic phase characterized by a finite density of states at the band crossing. This transition is usually described by a perturbative renormalization group in $d=2+ensuremath{varepsilon}$ of a $U(N)$ Gross-Neveu model in the limit $Nensuremath{rightarrow}0$. Unfortunately, this model is not multiplicatively renormalizable in $2+ensuremath{varepsilon}$ dimensions: An infinite number of relevant operators are required to describe the critical behavior. Hence its use in a quantitative description of the transition beyond one loop is at least questionable. We propose an alternative route, building on the correspondence between the Gross-Neveu and Gross-Neveu-Yukawa models developed in the context of high-energy physics. It results in a model of Weyl fermions with a random non-Gaussian imaginary potential which allows one to study the critical properties of the transition within a $d=4ensuremath{-}ensuremath{varepsilon}$ expansion. We also discuss the characterization of the transition by the multifractal spectrum of wave functions." @default.
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• W2724902894 date "2016-12-05" @default.
• W2724902894 modified "2023-09-25" @default.
• W2724902894 title "On the disorder-driven quantum transition in three-dimensional relativistic metals" @default.
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• W2724902894 doi "https://doi.org/10.1103/physrevb.94.220201" @default.
• W2724902894 hasPublicationYear "2016" @default.
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