Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-Reversal Invariant Superconductivity of Sr$_{2}$RuO$_{4}$ Revealed
  by Josephson Effects   Sr$_{2}$RuO$_{4}$ is one of the most promising candidates of a topological
superconductor with broken time-reversal symmetry, because a number of
experiments have revealed evidences for a spin-triplet chiral $p$-wave
superconductivity. In order to clarify the time-reversal symmetry of
Sr$_{2}$RuO$_{4}$, we introduce a novel test that examines the invariance of
the Josephson critical current under the inversion of both the current and
magnetic fields, in contrast to the detection of a spontaneous magnetic field
employed in past experiments. Analyses of the transport properties of the
planar and corner Josephson junctions formed between Sr$_{2}$RuO$_{4}$ and Nb
reveal the time-reversal invariant superconductivity, most probably helical
$p$-wave, of Sr$_{2}$RuO$_{4}$. This state corresponds to a yet-to-be confirmed
$topological crystalline superconductivity$ that can host two Majorana edge
modes at the surface protected by crystalline mirror symmetry.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex