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We present the first experimental results of the lower critical field of the newly discovered F-doped superconductor LaOFFeAs (F-LaOFeAs) by global and local magnetization measurements. It is found that showed an clear linear- dependence down to a temperature of 2 K, indicative of an unconventional pairing symmetry with a nodal gap function. Based on the d-wave model, we estimated a maximum gap value meV, in consistent with the recent specific heat and point-contact tunneling measurements. Taking the demagnetization factor into account, the absolute value of is determined to be about 54 Oe, manifesting a low superfluid density for LaOFFeAs.

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