Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum critical scaling and superconductivity in heavy electron
  materials   We use the two fluid model to determine the conditions under which the
nuclear spin-lattice lattice relaxation rate, $T_1$, of candidate heavy quantum
critical superconductors can exhibit scaling behavior and find that it can
occur if and only if their "hidden" quantum critical spin fluctuations give
rise to a temperature-independent intrinsic heavy electron spin-lattice
relaxation rate. The resulting scaling of $T_1$ with the strength of the heavy
electron component and the coherence temperature, $T^*$, provides a simple test
for their presence at pressures at which the superconducting transition
temperature, $T_c$, is maximum and is proportional to $T^*$. These findings
support the previously noted partial scaling of the spin-lattice relaxation
rate with $T_c$ in a number of important heavy electron materials and provide
additional evidence that in these materials their optimal superconductivity
originates in the quantum critical spin fluctuations associated with a nearby
phase transition from partially localized to fully itinerant quasiparticles.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph