Jump rate constants of atomic hydrogen and deuterium in boron-doped cr
ystalline silicon are calculated using quantum transition-state theory
, based on the path-integral centroid formalism. A break in the slope
of the Arrhenius plot for the jump rate of hydrogen is obtained at T s
imilar to 60 K, indicating a crossover from thermally activated quasic
lassical motion over a barrier to thermally assisted quantum tunneling
, in good agreement with previous experimental results. For deuterium,
no deviation from an Arrhenius law is found down to 30 K. It is shown
that the defect complex undergoing quantum tunneling consists of hydr
ogen, boron, and the nearest silicon atoms.