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Quantum phase transition between a topological and a trivial semimetal from holography

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arxiv 1511.05505 v3 pith:54ITXYCM submitted 2015-11-17 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords semimetalphasetime-reversaltopologicaltrivialbreakingflowholographic
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a holographic model of a topological Weyl semimetal. A key ingredient is a time-reversal breaking parameter and a mass deformation. Upon varying the ratio of mass to time-reversal breaking parameter the model undergoes a quantum phase transition from a topologically nontrivial semimetal to a trivial one. The topological nontrivial semimetal is characterised by the presence of an anomalous Hall effect. The results can be interpreted in terms of the holographic renormalization group (RG) flow leading to restoration of time-reversal at the end point of the RG flow in the trivial phase.

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Cited by 2 Pith papers

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  1. Out-of-bounds hydrodynamics in holographic anisotropic Dirac semimetals

    hep-th 2025-07 conditional novelty 6.0 of 10

    A backreacted holographic model of an anisotropic Dirac semimetal gives η/s below the KSS bound in the quantum critical region, with low-temperature scaling η/s ~ T^0.56 tied to a Lifshitz dynamical exponent z ≈ 1.9.

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    hep-th 2025-12 conditional novelty 4.0 of 10

    In the EMS holographic model, entanglement entropy, mutual information, wedge cross-section, and butterfly velocity all show critical exponent 1—twice the scalar order parameter—and MI grows faster than EWCS across th...

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