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GNRs are tailored from the 2D graphene sheet with finite width
.
-AGNR denotes a GNR with armchair edges, the unit cell of which
contains
atoms of each sublattice (
and
), as shown in
Fig. 3.1. The band-gap (
) of AGNRs is inversely proportional
to the ribbon's width. AGNRs are
classified according to their indices into three categories,
,
, and
, where
in an integer. The lowest band-gap belongs to the category
, whereas the category
has the highest band-gap. As the band-gap plays an important role in
thermoelectrics, only the category
is considered. However, similar results are expected for the other categories too.
In this section, ballistic thermoelectric properties of AGNRs with
different widths at various temperatures are investigated. In the ballistic regime, the transport properties are independent of channel length
. The features of band structures play an important role in the performance of AGNR-based devices. The channel length, therefore, is chosen to be the length of a unit cell (
), whereas the ribbon's width varies between
and
and the temperature between
and
.