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Quantum Griffiths singularity (QGS) reveals the profound influence ofquenched disorder on the quantum phase transitions, characterized by thedivergence of the dynamical critical exponent at the boundary of the vortexglass-like phase, named as quantum Griffiths phase. However, in the absence ofvortices, whether the QGS can exist under parallel magnetic field remains apuzzle. Here we study the magnetic field induced superconductor-metaltransition in ultrathin crystalline PdTe2 films grown by molecular beamepitaxy. Remarkably, the QGS emerges under both perpendicular and parallelmagnetic field in 4-monolayer PdTe2 films. The direct activated scalinganalysis with a new irrelevant correction has been proposed, providingimportant evidence of QGS. With increasing film thickness to 6 monolayers, theQGS disappears under perpendicular field but persists under parallel field, andthis discordance may originate from the differences in microscopic processes.Our work demonstrates the universality of parallel field induced QGS and canstimulate further investigations on novel quantum phase transitions underparallel magnetic field.

The observation of in-plane quantum Griffiths singularity in two-dimensional crystalline superconductors