Abstract
A new material platform is presented to manipulate heat and charge transportation in steady-state conditions. More precisely, we investigate the conceptual realization of a concentric composite made of the same isotropic and homogeneous semiconductor material with layers of different porosity, and show the possibility of a simultaneous cloaking performance in such a device for both heat flux and electric current without disturbing external fields. The background medium in the composite is a porous material with a periodical 3D cubic lattice of spherical hollow pores while the cylindrical shell is made from the same bulk material with zero porosity. A sound analytical expression is found for the volume fraction of the pores at which bi-functional cloaking effect can be realized. To validate our theoretical results, we also demonstrate the temperature and heat flux profiles as well as the voltage and current profiles in numerical simulations for a composite consisting of bulk (cylindrical shell) and porous (background) n-type silicon layers.
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