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There is a common misconception that a suiatble Lawrence-Doniach model can reproduce the systematics of (Formula presented) This is simply incorrect and is discussed in detail in Ref. 7. An enhancement is possible if the coupling between the layers is mistakenly taken to be (Formula presented) instead of (Formula presented) where (Formula presented) is the order parameter for the (Formula presented)th layer. For a conventional superconductor, the Josephson energy is proportional to (Formula presented) not (Formula presented) Moreover, in a BCS superconductor, the density of states is changed very little by the small hopping matrix elements of the electrons between the layers. Consequently, there is little effect on (Formula presented) from the density of states. The interlayer coupling can, of course, suppress phase fluctuations, thereby raising the true (Formula presented) closer to (Formula presented) This mechanism was indeed explored, but it led only to small enhancements of (Formula presented) [E.W. Carlson et al., Phys. Rev. Lett. 83, 612 (1999)], far from the data shown in Fig. 11.
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