Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of the Disorder Induced Interaction and the Phase Diagram of
  Cuprate Superconductors   We show that an electronic phase transition described by the Cahn-Hilliard
equation has important applications to cuprate superconductors. The simulations
of the local charge density and free energy reveal two main features: i) The
segregation process creates tiny isolated regions with potential wells where
the holes can be bound in single-particle levels. ii) The clustering process
also gives rise to an effective two-body pairing interactions and
superconducting amplitudes $\Delta_{sc}(\vec r)$ at low temperatures. The
resulting system resembles a granular superconductor with the resistivity
transition driven by Josephson coupling among these nanoscale grains. This
approach reproduces the well known critical temperature transition $T_c(p)$ as
function of the doping level $p$. The derived $p \times T$ phase diagram
reproduces the main features measured by several experiments. Furthermore, the
local density of states with spatial dependent gaps $\Delta(\vec r)$ is due to
the intragrain single-particle bound states that remain above $T_c$, which
characterizes the pseudogap phase and reproduces many measurements.

22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys