# Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetra-critical point in Sr$_2$RuO$_4$

@inproceedings{Yuan2021StraininducedTR,
title={Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetra-critical point in Sr\$\_2\$RuO\$\_4\$},
author={Andrew C. Yuan and Erez Berg and Steven A. Kivelson},
year={2021}
}
• Published 2 June 2021
• Physics
It has been shown [1] that many seemingly contradictory experimental findings concerning the superconducting state in Sr2RuO4 can be accounted for as resulting from the existence of an assumed tetra-critical point at near ambient pressure at which dx2−y2 and gxy(x2−y2) 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…
6 Citations

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## References

SHOWING 1-10 OF 44 REFERENCES
Superconductivity with broken time-reversal symmetry inside a superconducting s-wave state
• Physics
• 2020
In general, magnetism and superconductivity are antagonistic to each other. However, there are several families of superconductors in which superconductivity coexists with magnetism, and a few
Evidence for broken time-reversal symmetry in the superconducting phase of URu 2 Si 2
• Physics
• 2015
Recent experimental and theoretical interest in the superconducting phase of the heavy fermion material URu$_2$Si$_2$ has led to a number of proposals in which the superconducting order parameter
Observation of broken time-reversal symmetry in the heavy-fermion superconductor UPt3
• Physics
Science
• 2014
This work tested for asymmetry in the phase shift between left and right circularly polarized light reflected from a single crystal of UPt3 at normal incidence and found that this so-called polar Kerr effect appears only below the lower of the two zero-field superconducting transition temperatures.
Stability of half-quantum vortices in p(x)+ip(y) superconductors.
• Physics
Physical review letters
• 2007
This work considers the stability conditions for half-quantum vortices in a quasi-two-dimensional p{x}+ip{y} superconductor (such as Sr2RuO4) and proposes using various mesoscopic geometries to stabilize and observe these exotic excitations.
Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance
• Physics
Nature
• 2019
NMR spectroscopy of oxygen-17 reveals a drop of the Knight shift in the superconducting state, contradicting previous work and imposing tight constraints on the order parameter symmetry of the system.
Split superconducting and time-reversal symmetry-breaking transitions in Sr2RuO4 under stress
• Physics
• 2021
Strontium ruthenate (Sr2RuO4) continues to present an important test of our understanding of unconventional superconductivity, because while its normal-state electronic structure is known with
Inhomogeneous time-reversal symmetry breaking in Sr2RuO4
• Physics
• 2021
We show that the observed time-reversal symmetry breaking (TRSB) of the superconducting state in Sr2RuO4 can be understood as originating from inhomogeneous strain fields near edge dislocations of
Fluctuation and strain effects in a chiral p -wave superconductor
• Physics
• 2016
For a tetragonal material, order parameters of $p_x$ and $p_y$ symmetry are related by rotation and hence have the same $T_{\rm c}$ at a mean-field level. This degeneracy can be lifted by a
Majorana Kramers pair in a nematic vortex
• Physics
• 2017
A time-reversal (TR) invariant topological superconductor is characterized by a Kramers pair of Majorana zero-energy modes on boundaries and in a core of a TR invariant vortex. A vortex defect that
Weyl Superconductivity in UTe2
• Physics
• 2020
The search for a material platform for topological quantum computation has recently focused on unconventional superconductors. Such material systems, where the superconducting order parameter breaks