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Nature of superconductivity of four-layer HgBa2Ca3Cu4O10+δ

We have measured the reversible magnetization of grain-aligned HgBa2Ca3Cu4O10+(delta ) with the external magnetic fields of 1 T c, and thus the system is a highly anisotropic. This is supported by the two-dimensional scaling behavior of the magnetization at the critical region. From the model of Hao et al. we obtained various superconducting parameters such as the critical fields, the coherence length, and the penetration depth. Especially, the zero- temperature penetration depth (lambda) ab(0) is estimated to be 157 nm which is the smallest among Hg-based superconductors. We infer that this is due to the large hole concentration within the CuO2 plane. Finally, we analyzed the fluctuation-induced susceptibility in the low-field regime using the modified Lawrence- Doniach model.