  We study the habitability of the two 1-2 Earth-mass planets, recently
detected by the CARMENES collaboration, around the ultra-cool nearby M dwarf
Teegarden's Star. With orbital periods of 4.9 and 11.4 days, both planets are
likely to be within the Habitable Zone and tidally locked. They are among the
most Earth-like exoplanets yet discovered. Applying an analytical habitability
model we find that surface liquid water could be present on both planets for a
wide range of atmospheric properties, which makes them attractive targets for
bio-signature searches. The prospects of the planets retaining such an
atmosphere over their history are discussed.
