Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of the ferroelectric quantum critical point on SrTiO$_3$
  interfaces   We study a model SrTiO$_3$ interface in which conduction $t_{2g}$ electrons
couple to the ferroelectric (FE) phonon mode. We treat the FE mode within a
self-consistent phonon theory that captures its quantum critical behavior, and
show that proximity to the quantum critical point leads to universal tails in
the electron density of the form $n(z) \sim (\lambda+z)^{-2}$, where $\lambda
\sim T^{2-d/\mathfrak{z}}$, with $d=3$ the dimensionality and $\mathfrak{z}=1$
the dynamical critical exponent. Implications for the metal-insulator
transition at low electron density are discussed.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga