Abstract
The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate how this phase transition depends on the parameters of the scalar potential (mass and quartic self coupling) finding that the quantum phase transition persists for a large region in parameter space. We then compute the axial Hall conductivity. The algebraic structure of the axial anomaly predicts it to be 1/3 of the electric Hall conductivity. We find that this holds once a non-trivial renormalization effect on the external axial gauge fields is taken into account. Finally we show that the phase transition also occurs in a top-down model based on a consistent truncation of type IIB supergravity.
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Copetti, C., Fernández-Pendás, J. & Landsteiner, K. Axial Hall effect and universality of holographic Weyl semi-metals. J. High Energ. Phys. 2017, 138 (2017). https://doi.org/10.1007/JHEP02(2017)138
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DOI: https://doi.org/10.1007/JHEP02(2017)138