Axial Hall effect and universality of holographic Weyl semi-metals
arXiv:1611.08125 · doi:10.1007/JHEP02(2017)138
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.
27 pages, 9 figures, v2: references added, some typos fixed; v3 minor changes
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- Topological invariants for holographic semimetals
- Surface States in Holographic Weyl Semimetals
- AC conductivity for a holographic Weyl Semimetal
- Black hole interiors in holographic topological semimetals
- A smeared quantum phase transition in disordered holography
- A Weyl- semimetal from holography
- An improved holographic nodal line semimetal
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- Higher spin vortical Zilches from Kubo formulae
- Momentum relaxation in a holographic Weyl semimetal
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- Holographic -functions and Boomerang RG Flows
- Momentum relaxation of holographic Weyl semimetal from massive gravity
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- Topological invariant for holographic Weyl- semimetal
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- Holographic Topological Semimetals