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specific heat ∝ TlogT and temperature dependence of resistivity ∝ T cannot be understood in three-dimensional materials by the Gaussian variety of quantum criticality [31]. 

The attempts to derive quantum-criticality in heavy fermion lattice [73] are equivalent to the self-consistent solution of the single-impurity Kondo problem in a conduction electron bath which is close to antiferromagnetic quantum-criticality [74]. The breakdown of the Kondo effect near magnetic singularities is doubtless an important aspect of the problem but such methods do not represent a solution of the criticality problem. The issue of quantum- criticality in heavy fermions is a beautiful largely unsolved problem; it is also not possible to discuss their ”high” T$_{c}$ without understanding the fluctuation spectra near quantum criticality and its coupling to fermions. At a phenomenological level also, one is limited in this discussion due to lack of measurements of the fluctuation spectrum or single-particle spectra in the heavy-fermions near quantum-criticality. Such measurements will require quality and size of samples similar to some of the Cuprates. 

## D. Sup erconductivit y in the Cuprates 

<img src='content_image/346113.jpg'>

The family of Cuprates have the highest transition temperatures discovered so far. 

