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We provide evidence for the existence of a {\em quantum critical point} atthe metallization of magnetite Fe$_{3}$O$_{4}$ at an applied pressure of $p_{c}\approx 8$ GPa. We show that the present ac magnetic susceptibility datasupport earlier resistivity data. The Verwey temperature scales with pressure$T_{V}\sim (1-p/p_{c})^{\nu}$, with $\nu\sim 1/3$. The resistivity data shows atemperature dependence $\rho(T)=\rho_{0}+AT^{n}$, with $n\simeq 3$ above and2.5 at the critical pressure, respectively. This difference in $n$ withpressure is a sign of critical behavior at $p_{c}$. The magnetic susceptibilityis smooth near the critical pressure, both at the Verwey transition and nearthe ferroelectric anomaly. A comparison with the critical behavior observed inthe Mott-Hubbard and related systems is made.

Verwey transition in Fe$_{3}$O$_{4}$ at high pressure: quantum critical behavior at the onset of metallization