  Experimentally observation of borophene nanoribbons (BNRs) motivated us to
carry out a comprehensive investigation on BNRs, decomposed from {\chi}_3
sheet, using density functional theory. Our results show that the stability and
also the electrical and magnetic properties of the ribbons are strongly
dependent on the edge configuration. We have studied two categories of ribbons:
XBNRs, and YBNRs. The first one is a nonmagnetic metal with armchair shape
edge, while YBNRs can be magnetic or nonmagnetic related to the edge shape.
YBNRs have four different edge types and we show that two of them are magnetic
( a- and b-type edges) but others are nonmagnetic (c- and d-type edges). There
are 10 distinct configurations by arranging the different edges of YBNRs. 10
percent of YBNRs are polarized asymmetrically at the edges leading to the loss
of degeneracy of spin-up and spin-down bands in the antiferromagnetic
configuration. 40 percent of YBNRs have one magnetic edge which can be a
promising candidate for spintronic applications due to the separation of the
spin in the real space in addition to the energy space. Electronic transmission
properties of the ribbons are also studied and found that transmission channels
are suppressed in edges of XBNRs due to electron localization.
