Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal

L. Radzihovsky; P.M. Ostrovsky; S.V. Syzranov; V. Gurarie

Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal

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arxiv 1512.04130 v2 pith:NQ7QW7WU submitted 2015-12-13 cond-mat.mes-hall cond-mat.dis-nncond-mat.str-elhep-th

Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal

S.V. Syzranov , P.M. Ostrovsky , V. Gurarie , L. Radzihovsky This is my paper

classification cond-mat.mes-hall cond-mat.dis-nncond-mat.str-elhep-th

keywords criticaltransitionweylexponentsbeencurrentlydimensionsdisorder-driven

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Disordered non-interacting systems in sufficiently high dimensions have been predicted to display a non-Anderson disorder-driven transition that manifests itself in the critical behaviour of the density of states and other physical observables. Recently the critical properties of this transition have been extensively studied for the specific case of Weyl semimetals by means of numerical and renormalisation-group approaches. Despite this, the values of the critical exponents at such a transition in a Weyl semimetal are currently under debate. We present an independent calculation of the critical exponents using a two-loop renormalisation-group approach for Weyl fermions in $2-\varepsilon$ dimensions and resolve controversies currently existing in the literature.

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Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.