Microscopically derived multi-component Ginzburg-Landau theories for $s+is$ superconducting state

Abstract

Starting with the generic Ginzburg-Landau expansion from a microscopic $N$-band model, we focus on the case of a 3-band model which was suggested to be relevant to describe some iron-based superconductors. This can lead to the so-called $s+is$ superconducting state that breaks time-reversal symmetry due to the competition between different pairing channels. Of particular interest in that context, is the case of an interband dominated pairing with repulsion between different bands. For that case we consider in detail the relevant reduced two-component Ginzburg-Landau theory. We provide detailed analysis of the ground state, length scales and topological properties of that model.

Prepared for the proceedings of Vortex IX conference in Rhodos Sept. 2015; Replaced with a version in press in Physica C ; 15 pages, 6 figures

References in corpus (19)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Observation of Fermi-surface-dependent nodeless superconducting gaps in Ba0.6K0.4Fe2As2
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Limits of the upper critical field in dirty two-gap superconductors
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Quasiparticle Heat Transport in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$: Evidence for a k-dependent Superconducting Gap without Nodes
• Chiral CP^2 skyrmions in three-band superconductors
• Magnetic response of mesoscopic superconducting rings with two order parameters
• Universality of superconducting gaps in overdoped Ba0.3K0.7Fe2As2 observed by angle-resolved photoemission spectroscopy
• Superconductivity from repulsion in LiFeAs: novel s-wave symmetry and potential time-reversal symmetry breaking
• Phase transitions and anomalous normal state in superconductors with broken time reversal symmetry
• Thermodynamically stable noncomposite vortices in mesoscopic two-gap superconductors
• Spontaneous currents in a superconductor with s+is symmetry
• Sudden reversal in the pressure dependence of Tc in the iron-based superconductor CsFe2As2: A possible link between inelastic scattering and pairing symmetry
• Thermoelectric Signatures of Time-Reversal Symmetry Breaking States in Multiband Superconductors
• Unconventional thermoelectric effect in superconductors that break time-reversal symmetry
• Spontaneous Breakdown of Time-Reversal Symmetry Induced by Thermal Fluctuations

Cited by in corpus (23)

• Nematic superconductivity in twisted bilayer graphene
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Emerging superconductivity with broken time reversal symmetry inside a superconducting $s$-wave state
• Observation of superconducting vortices carrying a temperature-dependent fraction of the flux quantum
• Calorimetric evidence for two phase transitions in Ba${}_{1-\mathrm{x}}$K${}_{\mathrm{x}}$Fe${}_2$As${}_2$ with fermion pairing and quadrupling states
• Non-London electrodynamics in a multiband London model: anisotropy-induced non-localities and multiple magnetic field penetration lengths
• Phase diagram of dirty two-band superconductors and observability of impurity-induced $s+is$ state
• Polarization of spontaneous magnetic field and magnetic fluctuations in $s+is$ anisotropic multiband superconductors
• Multiband strong-coupling superconductors with spontaneously broken time-reversal symmetry
• Demonstration of $\mathbb{C}{P}^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model
• Phase solitons in a weakly coupled three-component superconductor
• Effects of intercomponent couplings on the appearance of time-reversal symmetry breaking fermion quadrupling state in two-component London models
• Skyrmionic chains and lattices in $s+id$ superconductors
• Effective model and Magnetic Properties of the Resistive Electron Quadrupling State
• Magnetic signatures of domain walls in $s+is$ and $s+id$ superconductors: observability and what that can tell us about the superconducting order parameter
• Chiral p-wave superconductors have complex coherence and magnetic field penetration lengths
• Constrained weak-coupling superconductivity in multiband superconductors
• Vortices and composite order in $\mathrm{SU}(N)$ theories coupled to Abelian gauge field
• Time-reversal symmetry breaking superconductivity in hole-doped monolayer MoS${}_2$
• Derivation of a Ginzburg-Landau free energy density containing mixed gradient terms of a $p+ip$ superconductor with spin-orbit coupling
• Magnetic field behaviour in $s+is$ and $s+id$ superconductors: twisting of applied and spontaneous fields
• Thermodynamics of $s_{\pm }-to-s_{++}$ transition in iron pnictides in the vicinity of the Born limit
• Vortex nucleation barriers and stable fractional vortices near boundaries in multicomponent superconductors