Renormalization group analysis of competing orders and the pairing symmetry in Fe-based superconductors

Abstract

We analyze antiferromagnetism and superconductivity in novel Fe-based superconductors within the weak-coupling, itinerant model of electron and hole pockets near (0,0) and (π,π) in the folded Brillouin zone. We discuss the interaction Hamiltonian, the nesting, the RG flow of the couplings at energies above and below the Fermi energy, and the interplay between SDW magnetism, superconductivity and charge orbital order. We argue that SDW antiferromagnetism wins at zero doping but looses to superconductivity upon doping. We show that the most likely symmetry of the superconducting gap is A_{1g} in the folded zone. This gap has no nodes on the Fermi surface but changes sign between hole and electron pockets. We also argue that at weak coupling, this pairing predominantly comes not from a spin fluctuation exchange but from a direct pair hopping between hole and electron pockets.

A review on RG approach for the special issue of Physica C on Fe-based superconductors. 15 pp, 8 figures

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• The Hubbard Model
• Magnetism in Fe-based superconductors
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Unconventional Superconductivity
• Competing order and nature of the pairing state in the iron pnictides
• Nematic spin fluid in the tetragonal phase of BaFe2As2
• s+is State with Broken Time Reversal Symmetry in Fe-Based Superconductors
• Magnetic degeneracy and hidden metallicity of the spin density wave state in ferropnictides
• Superconductivity and spin-density-waves in multi-band metals
• Momentum dependence and nodes of the superconducting gap in iron-pnictides
• The Electron Pairing of K${}_x$Fe${}_{2-y}$Se${}_2$
• Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
• The origin of nematic order in FeSe
• Valley density-wave and multiband superconductivity in Fe-pnictides
• Coexistence and competition of the short-range incommensurate antiferromagnetic order with superconductivity in BaFe2-xNixAs2
• Electron pairing in the presence of incipient bands in iron-based superconductors
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Evolution of symmetry and structure of the gap in Fe-based superconductors with doping and interactions
• Electron-doping evolution of the low-energy spin excitations in the iron arsenide BaFe${}_{2-x}$Ni${}_x$As${}_2$ superconductors
• Lattice distortion and magnetic quantum phase transition in CeFeAs(1-x)P(x)O
• London penetration depth in Ba(Fe${}_{1-x}$T${}_x$)${}_2$As${}_2$ (T=Co, Ni) superconductors irradiated with heavy ions
• Effects of longer-range interactions on unconventional superconductivity
• Pairing in the iron arsenides: a functional RG treatment
• Coexistence of superconductivity and a spin density wave in pnictides: Gap symmetry and nodal lines
• Antiferromagnetic order and superlattice structure in nonsuperconducting and superconducting RbyFe(1.6+x)Se2
• Superconductivity in SnO: a Nonmagnetic Analog to Fe-based Superconductors?
• Elastic coupling and spin-driven nematicity in iron-based superconductors
• Band-structure effects on superconductivity in Hubbard models
• Gap nodes induced by coexistence with antiferromagnetism in iron-based superconductors
• Quasiparticle interference in iron-based superconductors
• Resonance as a probe of the electron superconducting gap in BaFe1.9Ni0.1As2
• Coexistence between superconducting and spin density wave states in iron-based superconductors: Ginzburg-Landau analysis
• Odd parity pairing and nodeless anti-phase $s^{\pm }$ in Iron-Based Superconductors
• Probing the pairing interaction and multiple Bardasis-Schrieffer modes using Raman spectroscopy
• Normal-State Hourglass Dispersion of the Spin Excitations in FeSe${}_x$Te${}_{1-x}$
• Antiferromagnetic spin excitations in single crystals of nonsuperconducting Li1-xFeAs
• Magnetism in parent Fe-chalcogenides: quantum fluctuations select a plaquette order
• Conservation laws, vertex corrections, and screening in Raman spectroscopy
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• Vortex state in iron-based superconductors with collinear antiferromagnetic cores
• Raman scattering as a probe of nematic correlations
• On the dual role of the d-electrons in iron-pnictides
• Angular resolved specific heat in iron-based superconductors: the case for nodeless extended $s$-wave gap
• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• Effect of nodes, ellipticity and impurities on the spin resonance in Iron-based superconductors
• Raman resonance in iron-based superconductors: The magnetic scenario
• Magnetic field effects in electron systems with imperfect nesting
• Temperature dependence of the resonance and low energy spin excitations in superconducting FeTe${}_{0.6}$Se${}_{0.4}$
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Itinerant scenario for Fe-pnictides: comparison with quantum Monte Carlo
• Orbital order from the on-site orbital attraction
• Non-Fermi liquid fixed point for an imbalanced gas of fermions in $1+\epsilon$ dimensions
• Doping evolution of the gap structure and spin-fluctuation pairing in $Ba(F{e}_{1-x}C{o}_x{)}_{2}A{s}_2$ superconductors
• Direct observation of the spin exciton in Andreev spectroscopy of iron-based superconductors
• Itinerant fermions on a triangular lattice: unconventional magnetism and other ordered states
• Competing effects of Hund's splitting and symmetry-breaking perturbations on electronic order in Pb${}_{1-x}$Sn${}_x$Te
• Loop-current order through the kagome looking glass
• Iron-Based Superconductors as Parity Odd Superconductors
• Interference Effect of Beam Splitter Current in Iron-Pnictide Superconductors