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Holographic duality between -d quantum anomalous Hall state and -d topological insulators
In this paper, we study -dimensional quantum anomalous Hall states,
i.e. band insulators with quantized Hall conductance, using the exact
holographic mapping. The exact holographic mapping is an approach to
holographic duality which maps the quantum anomalous Hall state to a different
state living in -dimensional hyperbolic space. By studying topological
response properties and the entanglement spectrum, we demonstrate that the
holographic dual theory of a quantum anomalous Hall state is a
-dimensional topological insulator. The dual description enables a new
characterization of topological properties of a system by the quantum
entanglement between degrees of freedom at different length scales.Comment: 10 pages, 9 figure
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