Surface States in Holographic Weyl Semimetals

Amadeo Jim\'enez-Alba; Markus Heinrich; Martin Ammon; Sebastian Moeckel

Surface States in Holographic Weyl Semimetals

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arxiv 1612.00836 v3 pith:IPDKPM37 submitted 2016-12-02 hep-th cond-mat.str-el

Surface States in Holographic Weyl Semimetals

Martin Ammon , Markus Heinrich , Amadeo Jim\'enez-Alba , Sebastian Moeckel This is my paper

classification hep-th cond-mat.str-el

keywords surfaceweylcouplingcurrentelectricholographicsemimetalstates

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We study the surface states of a strongly coupled Weyl semimetal within holography. By explicit numerical computation of an inhomogeneous holographic Weyl semimetal we observe the appearance of an electric current restricted to the surface in presence of electric chemical potential. The total current is universal in the sense that it only depends on the topology of the phases showing that the bulk-boundary correspondence holds even at strong coupling. The implications of this result are subtle and may shed some light on anomalous transport at weak coupling.

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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.