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A smeared quantum phase transition in disordered holography

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arxiv 1802.08650 v1 pith:XREMX2DV submitted 2018-02-23 hep-th

A smeared quantum phase transition in disordered holography

classification hep-th
keywords quantumdisordercriticalorderparameterphaseregiontransition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the effects of quenched one-dimensional disorder on the holographic Weyl semimetal quantum phase transition (QPT), with a particular focus on the quantum critical region. We observe the smearing of the sharp QPT linked to the appearance of rare regions at the horizon where locally the order parameter is non-zero. We discuss the role of the disorder correlation and we compare our results to expectations from condensed matter theory at weak coupling. We analyze also the interplay of finite temperature and disorder. Within the quantum critical region we find indications for the presence of log-oscillatory structures in the order parameter hinting at the existence of an IR fixed point with discrete scale invariance.

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    D-instantons induce a gapped topological insulator phase in holographic Weyl semimetals via phase diagrams from D7 brane free energy and non-linear conductivity calculations.