Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relationship between and implications of the isotope and pressure
  effects on transition temperature, penetration depths and conductivities   It is shown that the empirical relations between transition temperature,
normal state conductivity linearly extrapolated to the value at the transition
temperature, zero temperature penetration depths, etc., as observed in a rich
variety of cuprate superconductors, are remarkably consistent with the
universal critical properties of anisotropic systems which fall into the 3D-XY
universality class and undergo a crossover to a quantum critical point in 2D.
The variety includes n- and p-type cuprates, comprises the underdoped and
overdoped regimes and the consistency extends up to six decades in the scaling
variables. The resulting scaling relations for the oxygen isotope and
hydrostatic pressure effects agree with the experimental data and reveal that
these effects originate from local lattice distortions preserving the volume of
the unit cell. These observations single out 3D and anisotropic microscopic
models which incorporate local lattice distortions, fall in the experimentally
accessible regime into the 3D-XY universality class, and incorporate the
crossover to 2D quantum criticality where superconductivity disappears.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph