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A new method was proposed to realize high areal densities beyond 2 Tbit/in2 for bit-patterned media. Introduction of inclined anisotropy to the media was found to decrease the effect of magnetostatic interaction between the dots at high areal densities. Recording simulation with a perpendicular recording head revealed increased recording shift margins in both down and cross track directions. It was expected that shift margins of greater than 7 nm were expected in the both directions for recording at 2.6 Tbit/in2 using a shielded planar head for the media with inclined anisotropy. Proposed method would be one of promising techniques for realizing high density recording beyond 2 Tbit/in2.