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A Weyl-$\mathrm{Z}_2$ semimetal from holography
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abstract
We present effective field theories for the weakly coupled Weyl-$\mathrm{Z}_2$ semimetal, as well as the holographic realization for the strongly coupled case. In both cases, the anomalous systems have both the chiral anomaly and the $\mathrm{Z}_2$ anomaly and possess topological quantum phase transitions from the Weyl-$\mathrm{Z}_2$ semimetal phases to partly or fully topological trivial phases. We find that the topological phase transition is characterized by the anomalous transport parameters, i.e. the anomalous Hall conductivity and the $\mathrm{Z}_2$ anomalous Hall conductivity. These two parameters are nonzero at the Weyl-$\mathrm{Z}_2$ semimetal phase and vanish at the topologically trivial phases. In the holographic case, the different behavior between the two anomalous transport coefficients is discussed. Our work reveals the novel phase structure of strongly interacting Weyl-$\mathrm{Z}_2$ semimetal with two pairs of nodes.
Forward citations
Cited by 2 Pith papers
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Nonequilibrium steady states in driven holographic Weyl semi-metals
A driven holographic Weyl semimetal supports a stable nonequilibrium steady state, becomes superharmonic and then chaotic at stronger driving, and exhibits strong-coupling chiral pumping in a magnetic field.
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Multipartite entanglement characterizing topological phase transitions in holographic nodal line semimetals
Tripartite entanglement measures in holographic nodal line semimetals vanish at long distance but decay with phase-dependent power laws that jump at the quantum critical point.
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