One of the most important questions in the study of compact objects is
the nature of pulsars, including whether they consist of neutron star
matter or strange quark matter (SQM). However, few mechanisms for dis
tinguishing between these two possibilities have been proposed. The pu
rpose of this Letter is to show that a strange star (one made of SQM)
will have a vibratory mode with an oscillation frequency of approximat
ely 250 GHz (millimeter wave). This mode corresponds to motion of the
center of the expected crust of normal matter relative to the center o
f the strange quark core, without distortion of either. Radiation from
currents generated in the crust at the mode frequency would be an SQM
signature. We also consider effects of stellar rotation, estimate pow
er emission and signal-to-noise ratio, and discuss briefly the particu
larly important, but unsolved, question of possible mechanisms for exc
iting the mode.