%0 Journal Article %T Strong quantum fluctuation of vortices in the new superconductor $MgB_2$ %A H. H. Wen %A S. L. Li %A Z. W. Zhao %A Y. M. Ni %A Z. A. Ren %A G. C. Che %A H. P. Yang %A Z. Y. Liu %A Z. X. Zhao %J Physics %D 2001 %I arXiv %R 10.1088/0256-307X/18/6/335 %X By using transport and magnetic measurement, the upper critical field $H_{c2}(T)$ and the irreversibility line $H_{irr}(T)$ has been determined. A big separation between $H_{c2}(0)$ and $H_{irr}(0)$ has been found showing the existence of a quantum vortex liquid state induced by quantum fluctuation of vortices in the new superconductor $MgB_2$. Further investigation on the magnetic relaxation shows that both the quantum tunneling and the thermally activated flux creep weakly depends on temperature. But when the melting field $H_{irr}$ is approached, a drastic rising of the relaxation rate is observed. This may imply that the melting of the vortex matter at a finite temperature is also induced by the quantum fluctuation of vortices. %U http://arxiv.org/abs/cond-mat/0102436v3