Abstract
Chiral anomaly materials (CAM, e.g., axion insulator, topological insulator and some of Weyl semimetal) are new states of quantum matter. Anomalous Hall effect can occur in CAM, the anomalous Hall effect is closely related to the topological magneto-electric effect, i.e., when an electric field is applied to CAM, not only the electric field is induced, but also the magnetic field, vice versa. According to those properties, we design an electric cloak with quantized CAM and conductor, and a magnetic cloak with quantized CAM and superconductor. Simulation and calculation results show that the electric cloak can cloak applied electric field and induce magnetic field, and the magnetic cloak can cloak applied magnetic field and induce electric field. When applied electric field is generated by a point charge, the monopole can be obtained.
Highlights
In the past few years, electromagnetic invisibility cloaks have drawn enormous attention
Topological insulator is a new state of quantum matter, the concept of the topological insulator can be defined with topological field theory[27,28,29,30,31,32,33] and topological band theory[34, 35]
Axion insulator is a new state of quantum matter[36,37,38], when an applied electric field is applied on an axion insulator, the electric field can induce magnetic field, vice versa
Summary
In the past few years, electromagnetic invisibility cloaks have drawn enormous attention. Chiral anomaly[27, 37, 38] would emerge in all topological insulator and axion insulator, some of Weyl semimetal can generate chiral anomaly[53,54,55,56,57,58,59,60] too, the chiral anomaly[54, 55] is closely related to the topological magneto-electric response, utilizing the property of topological magneto-electric response, we designed an electric cloak with CAM and conductor bi-layer shell, and a magnetic cloak with CAM and superconductor bi-layer shell. The simulation and calculation results show that the CAM and conductor bi-layer electric cloak can cloak electric field and induce magnetic field; and the CAM and superconductor bi-layer magnetic cloak can cloak magnetic field and induce electric field
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