Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unconventional multi-band superconductivity in bulk SrTiO$_{3}$ and
  LaAlO$_{3}$/SrTiO$_{3}$ interfaces   Although discovered many decades ago, superconductivity in doped SrTiO$_{3}$
remains a topic of intense research. Recent experiments revealed that, upon
increasing the carrier concentration, multiple bands cross the Fermi level,
signaling the onset of Lifshitz transitions. Interestingly, $T_{c}$ was
observed to be suppressed across the Lifshitz transition of oxygen-deficient
SrTiO$_{3}$; a similar behavior was also observed in gated
LaAlO$_{3}$/SrTiO$_{3}$ interfaces. Such a behavior is difficult to explain in
the clean theory of two-band superconductivity, as the additional electronic
states provided by the second band should enhance $T_{c}$. Here, we show that
this unexpected behavior can be explained by the strong pair-breaking effect
promoted by disorder, which takes place if the inter-band pairing interaction
is subleading and repulsive. A consequence of this scenario is that, upon
moving away from the Lifshitz transition, the two-band superconducting state
changes from opposite-sign gaps to same-sign gaps.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc