Abstract:We predict the existence of a new defect-lattice phase near the nematic -smectic-C (N C) transition. This tilt-analogue of the blue phase is a lattice of double-tilt cylinders. We discuss the structure and stability of the cone phase. We suggest that many 'nematics' exhibiting short range layering and tilt order may in fact be in the molten cone phase, which is a line liquid. 61.30.Mp, 64.70.Md, 61.30.Jf
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