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We performed a series of resistivity measurements of a MnSi single crystal athigh pressures, created by a piston-cylinder device with a liquid pressuremedium. The form of the resistivity curve at ambient pressure clearly indicatesa first order nature of the magnetic phase transition in MnSi. Application ofhigh pressure shows fast degradation of the first order features of the phasetransition. The temperature derivative of resistivity demonstrates two notablefeatures of the phase transition that disappear on pressure increasing. Theyare a sharp peak marking the first order phase transition and a shallowmaximum, situated slightly above the critical temperature and pointing to thedomain of prominent helical fluctuations. The current experimental data ruleout any strong first order phase transition in MnSi at high pressures and lowtemperatures, which would prevent development of a quantum critical region. Onthe contrary, there should exist true quantum critical phenomena in MnSi athigh pressures because a tiny first order transition, if it survives at highpressures to the lowest temperature, hardly could suppress the entire quantumcritical region.

On the phase diagram of the itinerant helimagnet MnSi: does MnSi become quantum critical ?