A transistor array includes conductor lines, function lines, and transistors.
Each
of the conductor lines includes a core and a conductor layer that covers the core.
Each of the function lines includes a core, at least the surface of which is electrically
conductive, an insulating layer that covers the core, and a semiconductor layer
that covers the insulating layer. Each of the function lines contacts with, and
crosses, the conductor lines. Each of the transistors includes a first ohmic contact
region, which is defined by a region where one of the conductor lines crosses one
of the function lines and which makes an ohmic contact with the semiconductor layer,
a second ohmic contact region, which also makes an ohmic contact with the semiconductor
layer, and a channel region, which is defined in the semiconductor layer between
the first and second ohmic contact regions.