A Numerical Renormalization Group Study of the Superconducting and Spin Density Wave Instabilities in MFeAsO${}_{1-x}$F${}_x$ Compounds

Abstract

We apply the fermion renormalization group method, implemented numerically by Honerkamp et.al., to a two-band model of FeAs-based materials. At half filling we find the $(\pi ,0)$ or $(0,\pi )$ spin density wave order and a sub-dominant superconducting pairing tendency. Due to a topological reason, the spin density wave gap has nodes on the fermi surfaces. Away from half filling we find an unconventional s-wave and a sub-dominant $d_{x^2-y^2}$ pairing instability. The former has $s$ symmetry around the hole fermi surface but exhibits $s+d_{x^2-y^2}$ symmetry around the electron pockets where the 90 degree rotation is broken. The pairing mechanism is inter-pocket pair hopping. Interestingly, the same interaction also drives the antiferromagnetism.

5 pages, 4 figures, RevTex4. Since the two-band model is insufficient to describe the iron pnictides, this paper will not be submitted for publication. Please see arXiv: 0807.0498 for improved work for five-band model

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• Possible pi-phase shift at interface of two pnictides with antiphase s-wave pairing
• Thermoelectric signatures of order-parameter symmetries in iron-based superconducting tunnel junctions
• Anomalous Zeeman response in coexisting phase of superconductivity and spin-density wave as a probe of extended $s$-wave pairing structure in ferro-pnictide
• Superconductivity in a Two-Orbital Hubbard Model with Electron and Hole Fermi Pockets: Application in Iron Oxypnictide Superconductors
• Space of non-Fermi liquids
• Orbital Resonance Mode in Superconducting Iron Pnictides
• The effect of disorder on electronic Raman scattering in the superconducting state of iron pnictides
• Multiple Superconducting Gaps, Anisotropic Spin Fluctuations and Spin-Orbit Coupling in Iron-Pnictides
• Fractional Flux Plateau in Magnetization Curve of Multicomponent Superconductor Loop
• Theoretical study on the correlation between the spin fluctuation and $T_c$ in the isovalent-doped 1111 iron-based superconductors
• Possible high temperature odd parity superconductivity in LaNi${}_{7/8}$Co${}_{1/8}$O${}_3$ (111) bilayers
• Evidence the ferromagnetic order on CoSb layer of LaCoSb${}_2$
• Hierarchy of relevant couplings in perturbative renormalization group transformations
• Evolution of quasiparticle states with and without a Zn-impurity in doped 122 iron pnictides
• Suppression of $T_c$ by Zn impurity in the electron-type LaFe${}_{0.925-y}$Co${}_{0.075}$Zn${}_y$AsO system
• Effects of the vortices and impurities on the nuclear spin relaxation rate in iron-based superconductors
• Response Theory of the Electron-Phonon Coupling
• Collective Mode at Lifshitz Transition in Iron-Pnictide Superconductors
• Oriented gap opening in the magnetically ordered state of Iron-pnicitides: an impact of intrinsic unit cell doubling on the $Fe$ square lattice by $As$ atoms
• The symplectic-N t-J model and s${}_{\pm }$ superconductors
• Repulsion and attraction in high Tc superconductors
• Effect of transition-metal substitution in iron-based superconductors
• Study of Ni and Zn doped CeOFeAs: Effect on the structural transition and specific heat capacity
• Complete renormalization group calculation up to two-loop order of an effective two-band model for iron-based superconductors
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• Theoretical studies of superconductivity in doped BaCoSO
• Renormalization-group exponents for superconducting phases in two-leg ladders
• Orbital-transverse density-wave instabilities in iron-based superconductors
• Order parameter sign-reversal near $s_{\pm }$-superconductor surface
• Effects of single- and multi-substituted Zn ions in doped-122 type iron-based superconductors
• Intertwined superconductivity and orbital selectivity in a three-orbital Hubbard model for the iron pnictides
• Conductance spectrum and superconducting gap structures observed in c-axis FeSe0.3Te0.7/Au junctions
• Superconducting states of a J1-J2-K model for iron pnictides
• Coherence effect in a two-band superconductor: Application to iron pnictides
• Controlled pairing symmetry of the superfluid state in systems of three-component repulsive fermionic atoms in optical lattices
• Spin fluctuations and pairing symmetry in A${}_x$Fe${}_{2-y}$Se${}_2$: dual effect of the itinerant and the localized nature of electrons
• Low-energy, planar magnetic defects in BaFe2As2: nanotwins, twins, antiphase and domain boundaries
• Superconducting Mechanism through direct and redox layer doping in Pnictides
• d_{xy}-Density wave in fermion-fermion cold atom mixtures
• A Short Review of the $S_4$ Symmetric Microscopic Model for Iron-Based High Temperature Superconductors
• Robust $s_{\pm }$-wave superconductivity against multi-impurity in iron-based superconductors
• Consistent picture of the octet-nodal gap and its evolution with doping in heavily overdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Iron-Based Superconductors as Parity Odd Superconductors
• Weak coupling theory of nickel-based 327 superconductors
• Observation of a ubiquitous three-dimensional superconducting gap function in optimally-doped Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$