Is Sr2RuO4 a Chiral P-Wave Superconductor?

Abstract

Much excitement surrounds the possibility that strontium ruthenate exhibits chiral p-wave superconducting order. Such order would be a solid state analogue of the A phase of He-3, with the potential for exotic physics relevant to quantum computing. We take a critical look at the evidence for such time-reversal symmetry breaking order. The possible superconducting order parameter symmetries and the evidence for and against chiral p-wave order are reviewed, with an emphasis on the most recent theoretical predictions and experimental observations. In particular, attempts to reconcile experimental observations and theoretical predictions for the spontaneous supercurrents expected at sample edges and domain walls of a chiral p-wave superconductor and for the polar Kerr effect, a key signature of broken time-reversal symmetry, are discussed.

To appear in the proceedings of LT25 (Amsterdam, August 2008)

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• Limits on Superconductivity-Related Magnetization in Sr${}_2$RuO${}_4$ and PrOs${}_4$Sb${}_{12}$ from Scanning SQUID Microscopy
• High-temperature topological superconductivity in twisted double layer copper oxides
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Excitonic Phases from Weyl Semi-Metals
• Decay rates for topological memories encoded with Majorana fermions
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Pairing symmetry and dominant band in Sr2RuO4
• Tunneling of anyonic Majorana excitations in topological superconductors
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• Intrinsic Hall effect in a multiband chiral superconductor in the absence of an external magnetic field
• Large Chern Number and Edge Currents in Sr2RuO4
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Non-topological nature of the edge current in a chiral p-wave superconductor
• Exploring Topological Superconductivity in Topological Materials
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• Effective mass and tricritical point for lattice fermions localized by a random mass
• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$
• Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models
• Chiral to Nematic Crossover in the Superconducting State of 4Hb-TaS${}_2$
• Electronic correlations stabilizing time-reversal broken chiral superconductivity in single-trilayer TiSe${}_2$
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
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• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
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• Charge and spin supercurrents in triplet superconductor--ferromagnet--singlet superconductor Josephson junctions
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Pauli-paramagnetic effects on mixed state properties in a strongly anisotropic superconductor ---Application to Sr_2_RuO_4_---
• Multiorbital singlet pairing and $d+d$ superconductivity
• Leggett modes and multi-band superconductivity in Sr2RuO4
• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Symmetry and topology of two-dimensional noncentrosymmetric superconductors
• Anisotropy of magnetic interactions and symmetry of the order parameter in unconventional superconductor Sr${}_2$RuO${}_4$
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• Multiple-q current states in a multicomponent superconducting channel
• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• Inversion symmetry of Josephson current as test of chiral domain wall motion in Sr${}_2$RuO${}_4$
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Surface and bulk electronic structure of unconventional superconductor Sr_2RuO_4: unusual splitting of the beta-band
• Lattices of double-quanta vortices and chirality inversion in $p_x+i{p}_y$ superconductors
• Magneto-topological transitions in multicomponent superconductors
• Anisotropy and Strong-Coupling Effects on the Collective Mode Spectrum of Chiral Superconductors: Application to Sr${}_2$RuO${}_4$
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Topological Superconductivity without Proximity Effect
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Low Temperature Thermal Hall Conductivity of a Nodal Chiral Superconductor
• Nucleation of domain walls by $Z_2$ symmetry breaking transition in $p_x+i{p}_y$ superconductors
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• Stability of topological defects in chiral superconductors: London theory
• Domain walls in chiral p-wave superconductors: Quasiparticle spectrum and dynamics
• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
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• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
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• Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
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