Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strain-induced time reversal breaking and half quantum vortices near a
  putative superconducting tetra-critical point in Sr$_2$RuO$_4$   It has been shown [1] that many seemingly contradictory experimental findings
concerning the superconducting state in Sr$_2$RuO$_4$ can be accounted for as
resulting from the existence of an assumed tetra-critical point at near ambient
pressure at which $d_{x^2-y^2}$ and $g_{xy(x^2-y^2)}$ superconducting states
are degenerate. We perform both a Landau-Ginzburg and a microscopic mean-field
analysis of the effect of spatially varying strain on such a state. In the
presence of finite $xy$ shear strain, the superconducting state consists of two
possible symmetry-related time-reversal symmetry (TRS) preserving states: $d
\pm g$. However, at domain walls between two such regions, TRS can be broken,
resulting in a $d+ig$ state. More generally, we find that various natural
patterns of spatially varying strain induce a rich variety of superconducting
textures, including half-quantum fluxoids. These results may resolve some of
the apparent inconsistencies between the theoretical proposal and various
experimental observations, including the suggestive evidence of half-quantum
vortices [2].
  [1] Steven A Kivelson, Andrew C Yuan, BJ Ramshaw, and Ronny Thomale, "A
proposal for reconciling diverse experiments on the superconducting state in
Sr$_2$RuO$_4$," npj Quantum Mater 5 (2020).
  [2] J Jang, DG Ferguson, V Vakaryuk, Raffi Budakian, SB Chung, PM Goldbart,
and Y Maeno, "Observation of half-height magnetization steps in Sr$_2$RuO$_4$,"
Science 331, 186-188 (2011).

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph