Vortices in chiral, spin-triplet superconductors and superfluids

Abstract

Superconductors exhibit unconventional electronic and magnetic properties if the Cooper pair wave function breaks additional symmetries of the normal phase. Rotational symmetries in spin- and orbital spaces, as well as discrete symmetries such as space and time inversion, may be spontaneously broken. When this occurs in conjunction with broken global U(1) gauge symmetry, new physical phenomena are exhibited below the superconducting transition that are characteristic of the broken symmetries of the pair condensate. This is particularly true of vortices and related defects. Superconductors with a multi-component order parameter exhibit a variety of different vortex structures and closely related defects that are not possible in condensates belonging to a one-dimensional representation. In this article we discuss the structure of vortices in Fermionic superfluids and superconductors which break chiral symmetry, i.e. combined broken time-inversion and 2D parity. In particular, we consider the structure of vortices and defects that might be realized in thin films of 3He-A and the layered superconductor Sr2RuO4, and identify some of the characteristic signatures of broken chiral symmetry that should be revealed by these defects.

28 pages, 7 figures - Added: expanded discussion of theoretical and computational methods Added: additional references on vortex studies and theory of inhomogeneous superconductivity Improved: figures and descriptions

References in corpus (9)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Upper limit on spontaneous supercurrents in Sr${}_2$RuO${}_4$
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Thermodynamic properties of thin films of superfluid 3He-A
• Crystalline order in superfluid 3He films
• Chirality sensitive effect on surface states in chiral p-wave superconductors
• Charge Dynamics of Vortex Cores in Layered Chiral Triplet Superconductors
• Fermi-Liquid Theory for Unconventional Superconductors

Cited by in corpus (48)

• Chiral d-wave superconductivity in doped graphene
• Andreev Bound States and Their Signatures
• UPt${}_3$ as a Topological Crystalline Superconductor
• Vortex lattices and broken time reversal symmetry in the topological superconductor UPt3
• Nematic Skyrmions in Odd-Parity Superconductors
• Spontaneously broken time-reversal symmetry in high-temperature superconductors
• A Spin Triplet Superconductor UPt${}_3$
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Majorana Excitations, Spin- and Mass Currents on the Surface of Topological Superfluid ${}^3$He-B
• Anisotropy of the Superconducting State in Sr2RuO4
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Chirality of superfluid 3He-A
• Transport equations for superconductors in the presence of spin interaction
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Theory of Andreev Bound States in S-F-S Junctions and S-F Proximity Devices
• Spontaneously broken translational symmetry at edges of high-temperature superconductors: thermodynamics in magnetic field
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Multiply quantized vortices in fermionic superfluids: angular momentum, unpaired fermions, and spectral asymmetry
• Majorana edge modes of superfluid 3He A-phase in a slab
• Probing vortex Majorana fermions and topology in semiconductor-superconductor heterostructures
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Quasiclassical expressions for the free energy of superconducting systems
• Lattices of double-quanta vortices and chirality inversion in $p_x+i{p}_y$ superconductors
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Charge Dynamics of Vortex Cores in Layered Chiral Triplet Superconductors
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Structure of the core of magnetic vortices in d-wave superconductors with a subdominant triplet pairing mechanism
• Knight shift spectrum in vortex states in s-wave and d-wave superconductors on the basis of Eilenberger theory
• Probing chiral superconductivity in Sr${}_2$RuO${}_4$ underneath the surface by point contact measurements
• SuperConga: an open-source framework for mesoscopic superconductivity
• A finite element method for the quasiclassical theory of superconductivity
• Chiral d-wave superconducting state in the core of a doubly quantized s-wave vortex in graphene
• Superconductivity near the saddle point in the two-dimensional Rashba system Si(111)-$\sqrt{3}\times \sqrt{3}$-(Tl,Pb)
• Penetration of nonquantized magnetic flux through a domain-wall bend in time-reversal symmetry broken superconductors
• Effects of Weak and Strong Scatterers on the Spectra of Vortex Andreev Bound States in Two-Dimensional Chiral p-wave Superconductors
• Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe${}_2$
• Competition of vortex core structures in superfluid ${}^3$He-B
• Stability of the singular vortex and associated Majorana zero modes in trapped p-wave resonant superfluids of neutral cold atoms
• Observation of vortex stripes in UTe${}_2$
• Kibble-Zurek Dynamics & Statistics of Topological Defects in Chiral Superfluid ${}^3$He Films
• Impurity effects in a vortex core in a chiral p-wave superconductor within the t-matrix approximation
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor
• Vortices in Two-Dimensional Chiral Superfluids
• Is the diagonal part of the self-energy negligible within an isolated vortex in weak-coupling superconductors?
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States