In this case, since the coupling in between layers are weaker than the couplinginside the layers, at extremely low temperatures, the degrees of freedom for themotion inside the layers will be frozen, and the motion of the atoms is restrictedin the direction perpendicular to the layers. Therefore the system becomes 1-D.Follow a similar calculation as in part (a), we can find the heat capacity for 1-Dsystem in low temperature will be proportional to T.
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