Superconductivity in Multi-orbital t-J1-J2 Model and its Implications for Iron Pnictides

Abstract

Motivated by the bad metal behavior of the iron pnictides, we study a multi-orbital $\mathrm{t}-{\mathrm{J}}_1-{\mathrm{J}}_2$ model and investigate possible singlet superconducting pairings. Magnetic frustration by itself leads to a large degeneracy in the pairing states. The kinetic energy breaks this into a quasi-degeneracy among a reduced set of pairing states. For small electron and hole Fermi pockets, an $A_{1g}$ state dominates over the phase diagram but a $B_{1g}$ state has close-by energy. In addition to the nodeless $A_{1g}$ $s_{x^2{y}^2}$ channel, the nodal $A_{1g}$ $s_{x^2+y^2}$ and $B_{1g}$ $d_{x^2-y^2}$ channels are also competitive in the magnetically frustrated $J_1\sim J_2$ parameter regime. An $A_{1g}+i{B}_{1g}$ state, which breaks time-reversal symmetry, occurs at low temperatures in part of the phase diagram. Implications for the experiments in the iron pnictides are discussed.

5 pages, 3 figures, to appear in EPL

References in corpus (40)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• 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
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Competing Orders and Spin-Density-Wave Instability in La(O${}_{1-x}$F${}_x$)FeAs
• Theory of Electron Nematic Order in LaOFeAs
• Thorium-doping induced superconductivity up to 56 K in Gd1-xThxFeAsO
• Origin of the ~150 K Anomaly in LaOFeAs; Competing Antiferromagnetic Superexchange Interactions, Frustration, and Structural Phase Transition
• Correlated electronic structure of LaOFeAs
• A minimal two-band model for the superconducting Fe-pnictides
• Ising and Spin orders in Iron-based Superconductors
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Spin Waves and Magnetic Exchange Interactions in CaFe2As2
• Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides
• Electronic correlations in the iron pnictides
• The BCS-like gap in superconductor SmFeAsO_0.85F_0.15
• Multiband magnetism and superconductivity in Fe-based compounds
• Electron-Hole Symmetry and Magnetic Coupling in Antiferromagnetic LaOFeAs
• Evolution from Itinerant Antiferromagnet to Unconventional Superconductor with Fluorine Doping in La(O_{1-x}F_{x})FeAs Revealed by ^{75}As and ^{139}La Nuclear Magnetic Resonance
• Origin of the spin density wave instability in AFe${}_2$As${}_2$ (A=Ba, Sr) as revealed by optical spectroscopy
• ${}^{75}$As NMR studies of superconducting LaO${}_{0.9}$F${}_{0.1}$FeAs
• Antiferromagnetic superexchange interactions in LaOFeAs
• Line nodes in the energy gap of high-temperature superconducting BaFe_2(As_{1-x}P_x)_2 from penetration depth and thermal conductivity measurements
• Spin-singlet superconductivity with multiple gaps in PrO0.89F0.11FeAs
• Evidence for nodal superconductivity in LaFePO
• Spin-triplet p-wave pairing in a 3-orbital model for iron pnictide superconductors
• Iron pnictides as a new setting for quantum criticality
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Unconventional London penetration depth in Ba(Fe0.93Co0.07)2As2 single crystals
• ^{31}P and ^{75}As NMR evidence for a residual density of states at zero energy in superconducting BaFe_2(As_{0.67}P_{0.33})_2
• Properties of a two orbital model for oxypnictide superconductors: Magnetic order, B_2g spin-singlet pairing channel, and its nodal structure
• Paramagnetic Spin Correlations in CaFe2As2 Single Crystals
• Dispersive Spin Fluctuations in the near optimally-doped superconductor Ba(Fe1-xCox)2As2 ($x$=0.065)
• Theory for Superconductivity in Iron Pnictides at Large Coulomb U Limit
• Signatures of Electronic Correlations in Optical Properties of LaFeAsO${}_{1-x}$F${}_x$
• Correlation effects in the iron pnictides
• Iron pnictide superconductors: Electrons on the verge
• Symmetry of superconducting states with two orbitals on a tetragonal lattice: application to $La{O}_{1-x}{F}_{x}FeAs$

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• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Strongly Correlated Materials
• Using Gap Symmetry and Structure to Reveal the Pairing Mechanism in Fe-based Superconductors
• U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictides
• Orbital selectivity and emergent superconducting state from quasi-degenerate $s-$ and $d-$wave pairing channels in iron-based superconductors
• Orbital selective pairing and superconductivity in iron selenides
• Fully gapped $d$-wave superconductivity in CeCu${}_2$Si${}_2$
• Orbital-selective superconductivity, gap anisotropy and spin resonance excitations in a multiorbital t-J1-J2 model for iron pnictides
• Superconductivity at the Border of Electron Localization and Itinerancy
• Do Se vacancies electron dope monolayer FeSe?
• Orbital selectivity in electron correlations and superconducting pairing of iron-based superconductors
• S-wave superconductivity with orbital dependent sign change in the checkerboard models of iron-based superconductors
• Multiorbital singlet pairing and $d+d$ superconductivity
• Nodes vs. minima in the energy gap of iron-pnictides from field-induced anisotropy
• ${}^{75}$As NMR of Ba(Fe${}_{0.93}$Co${}_{0.07}$)${}_2$As${}_2$ in High Magnetic Field
• Glide reflection symmetry, Brillouin zone folding and superconducting pairing for the $P4/nmm$ space group
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Role of Degeneracy, Hybridization, and Nesting in the Properties of Multi-Orbital Systems
• Anomalous hysteresis as an evidence for a magnetic field-induced chiral superconducting state in LiFeAs
• TAO pairing: a fully gapped pairing scenario for the Iron-Based Superconductors
• $B_{1g}$-like pairing states in two-leg ladder iron superconductors
• Pairing Symmetry in Iron-Pnictide Superconductor KFe${}_2$As${}_2$
• Electron Correlation and Spin Dynamics in Iron Pnictides and Chalcogenides
• Neutron spin resonance as a probe of superconducting gap anisotropy in partially detwinned electron underdoped NaFe${}_{0.985}$Co${}_{0.015}$As
• Fermi surface evolution and checker-board block-spin antiferromagnetism in $A_x$Fe${}_{2-y}$Se${}_2$
• Theory of $(s+id)$ pairing in mixed-valent correlated metals
• Modulation of pairing symmetry with bond disorder in unconventional superconductors
• Free energy and metastable states in the square-lattice $J_1$-$J_2$ Ising model
• Superconducting states of a J1-J2-K model for iron pnictides
• Unified Spin Model for Magnetic Excitations in Iron Chalcogenides