Two-dimensional
(2D) phases of boron are rare and unique. Here
we report a new 2D all-boron phase (named the π phase) that
can be grown on a W(110) surface. The π phase, composed of four-membered
rings and six-membered rings filled with an additional B atom, is
predicted to be the most stable on this support. It is characterized
by an outstanding stability upon exfoliation off of the W surface,
and unusual electronic properties. The chemical bonding analysis reveals
the metallic nature of this material, which can be attributed to the
multicentered π-bonds. Importantly, the calculated conductivity
tensor is anisotropic, showing larger conductivity in the direction
of the sheet that is in-line with the conjugated π-bonds, and
diminished in the direction where the π-subsystems are connected
by single σ-bonds. The π-phase can be viewed as an ultrastable
web of aligned conducting boron wires, possibly of interest to applications
in electronic devices.