  The upper critical field Hc2(T) of the multiband superconductor KFe2As2 has
been studied via low-temperature thermal expansion and magnetostriction
measurements. We present compelling evidence for Pauli-limiting effects
dominating Hc2(T) for H || a, as revealed by a crossover from second- to
first-order phase transitions to the superconducting state in the
magnetostriction measurements down to 50 mK. Corresponding features were absent
for H || c. To our knowledge, this crossover constitutes the first confirmation
of Pauli limiting of the Hc2(T) of a multiband superconductor. The results are
supported by modeling Pauli limits for single-band and multiband cases.
