Penetration of nonquantized magnetic flux through a domain-wall bend in time-reversal symmetry broken superconductors

Abstract

It has been proposed that the superconductivity of Sr${}_2$RuO${}_4$ is characterized by pairing that is unconventional and, furthermore, spontaneously breaks time-reversal symmetry. However, one of the key expected consequences, viz., that the ground state should exhibit chiral charge currents localized near the boundaries of the sample, has not been observed, to date. We explore an alternative implication of time-reversal symmetry breaking: the existence of walls between domains of opposing chirality. Via a general phenomenological approach, we derive an effective description of the superconductivity in terms of the relevant topological variables (i.e., domain walls and vortices). Hence, by specializing to the in the in-plane rotationally invariant limit, we show that a domain wall that is translationally invariant along the z axis and includes a bend through an angle $\Theta$ is accompanied by a nonintegral (and possibly nonquantized) magnetic {\it bend flux} of $((\Theta /\pi )+n){\Phi }_0$, with integral $n$, that penetrates the superconductor, localized near the bend. We generalize this result to the situation in which gauge transformations and rotations about the z axis are degenerate transformations of the chiral superconducting order. On the basis of the specialized result and its generalization, we note that any observation of localized, nonquantized flux penetrating a z-axis surface (e.g., via scanned-probe magnetic imaging) can be interpreted in terms of the presence of bent walls between domains of opposing chirality, and hence is suggestive of the existence of time-reversal symmetry-breaking superconductivity.

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Helical Metal Inside a Topological Band Insulator
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Observation of half-height magnetization steps in Sr2RuO4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Higher-Tc superconducting phase in Sr2RuO4 induced by uniaxial pressure
• Suppression of Spontaneous Supercurrents in a Chiral p-Wave Superconductor
• Magnetic fields above the surface of a superconductor with internal magnetism
• Observation of two species of vortices in the anisotropic spin-triplet superconductor $S{r}_{2}Ru{O}_4$

Cited by in corpus (7)

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• New Chiral Phases of Superfluid 3He Stabilized by Anisotropic Silica Aerogel
• Vortex coalescence and type-1.5 superconductivity in Sr2RuO4
• Nucleation of domain walls by $Z_2$ symmetry breaking transition in $p_x+i{p}_y$ superconductors
• Stability of topological defects in chiral superconductors: London theory
• Underdoped cuprates, manifestations of boson-fermion crossover, `quantum oscillations' and the robust fractional quantum Hall state nu = 2/5