  Metasurfaces, the two-dimensional (2D) counterpart of metamaterials, have
recently attracted a great attention due to their amazing properties such as
negative refraction, hyperbolic dispersion, manipulation of the evanescent
spectrum. In this work, we propose a theory model for the near field radiative
heat transfer (NFRHT) between two nanoparticles in the presence of an
anisotropic metasurface. Specifically, we set the metasurface as an array of
graphene strips (GS) since it is an ideal platform to implement any metasurface
topology, ranging from isotropic to hyperbolic propagation. We show that the
NFRHT between two nanoparticles can not only be significantly amplified when
they are placed in proximity of the GS, but also be regulated over several
orders of magnitude. In this configuration, the anisotropic surface plasmon
polaritons (SPPs) supported by the GS are excited and provide a new channel for
the near-field energy transport. We analyze how the conductance between two
nanoparticles depends on the orientation, the structure parameters and the
chemical potential of the GS, on the particle-surface or the particle-surface
distances by clearly identifying the characteristics of the anisotropic SPPs
such as dispersion relations, propagation length and decay length. Our findings
provide a powerful way to regulate the energy transport in the particle
systems, meanwhile in turn, open up a way to explore the anisotropic optical
properties of the metasurface based on the measured heat transfer properties.
