  We explore the effect of an incommensurate potential on nodal-link
semimetals. For system with surface states, we show the nodal-link semimetal
undergoes a series of phase transitions: first into a metallic phase, then to a
loop semimetal phase and back to a metallic phase with increasing the strength
of incommensurate potential. The phase transitions are unveiled by analyzing
the properties of energy spectra and wave functions. We also study the system
without surface states and find that the Fermi surface evolves from lines to
loops before the system enters into a metallic phase when increasing the
incommensurate potential strength.
