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New Quantum Transition in Weyl Semimetals with Correlated Disorder

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arxiv 1609.08368 v1 pith:OGXOFUJR submitted 2016-09-27 cond-mat.mes-hall cond-mat.dis-nn

New Quantum Transition in Weyl Semimetals with Correlated Disorder

classification cond-mat.mes-hall cond-mat.dis-nn
keywords disordertransitionphaseweylcorrelatedcorrelationssemimetalthree
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three dimensions, three scenarios are possible depending on the disorder correlations. A standard transition is recovered for short range correlations. For disorder decaying slower than $1/r^{2}$, the Weyl semimetal is unstable to any weak disorder and no transition persists. In between, a new phase transition occurs. This transition still separates a disordered metal from a semi-metal, but with a new critical behavior that we analyze to two-loop order.

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