  With the technology of artificial defects creating, we can tune the band
structure and transport properties of many two-dimensional (2D) layered
materials. One prototype materials system is the antidoted graphene sheet,
where periodical pores are made using focuses ion or electron beams in the
nanoscale. We here study the electrical conductivity, thermopower, and active
rates of cooling and refrigeration of antidoted graphene samples with different
pore-radii and interporous distances. We use a calculation method that takes
into consider the sensitivity of transport to charge carrier energy, which can
be used to describe the elastic and inelastic scatterings in diffusive,
ballistic and quantum hopping regimes. It is found that our results from the
new calculational approach are more consistent with the experimental data,
compared to some traditional methodologies. It is also interesting to see that
the optimized active rates of cooling and refrigeration are very robust against
the distribution variations of interporous distance and the pore-radius, which
implies easy industrialization and inexpensive manufacturing. The same analysis
and investigation can also be extended to many other layered materials,
including the transitional metal dichalcogenides (TMD), blue phosphorene, and
tellurium.
