Correlation effects in the iron pnictides

Abstract

One of the central questions about the iron pnictides concerns the extent to which their electrons are strongly correlated. Here we address this issue through the phenomenology of the charge transport and dynamics, single-electron excitation spectrum, and magnetic ordering and dynamics. We outline the evidence that the parent compounds, while metallic, have electron interactions that are sufficiently strong to produce incipient Mott physics. In other words, in terms of the strength of electron correlations compared to the kinetic energy, the iron pnictides are closer to intermediately-coupled systems lying at the boundary between itinerancy and localization, such as V2O3 or Se-doped NiS2, rather than to simple antiferromagnetic metals like Cr. This level of electronic correlations produces a new small parameter for controlled theoretical analyses, namely the fraction of the single-electron spectral weight that lies in the coherent part of the excitation spectrum. Using this expansion parameter, we construct the effective low-energy Hamiltonian and discuss its implications for the magnetic order and magnetic quantum criticality. Finally, this approach sharpens the notion of magnetic frustration for such a metallic system, and brings about a multiband matrix t-J1-J2 model for the carrier-doped iron pnictides.

14 pages, 2 figures, discussions on several points expanded, published in the Focus Issue on Iron-Based Superconductors

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• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Electronic correlations in the iron pnictides
• Nematicity and quantum paramagnetism in FeSe
• Phase Diagram of Ba1-xKxFe2As2
• Orbital-selective Mott Phase in Multiorbital Models for Alkaline Iron Selenides K(1-x)Fe(2-y)Se2
• J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
• Band Narrowing and Mott Localization in Iron Oxychalcogenides La2O2Fe2O(Se,S)2
• Fermi-liquid, non-Fermi-liquid, and Mott phases in iron pnictides and cuprates
• Interplay between magnetism and superconductivity in iron-chalcogenide superconductors: crystal growth and characterizations
• U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictides
• What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
• Self consistent GW determination of the interaction strength: application to the iron arsenide superconductors
• Evolution of symmetry and structure of the gap in Fe-based superconductors with doping and interactions
• Massless Leggett Mode in Three-band Superconductors with Time-Reversal-Symmetry Breaking
• Quantum criticality in the iron pnictides and chalcogenides
• Unconventional temperature enhanced magnetism in iron telluride
• Mott transition in Modulated Lattices and Parent Insulator of (K,Tl)yFexSe2 Superconductors
• Mott Transition in Multi-Orbital Models for Iron Pnictides
• Phase diagram of CeFeAs${}_{1-x}$P${}_x$O obtained from electric resistivity, magnetization, and specific heat measurements
• Dirac nodal pockets in the antiferromagnetic parent phase of FeAs superconductors
• Superconductivity at the Border of Electron Localization and Itinerancy
• Spin Dynamics of a J1-J2-K Model for the Paramagnetic Phase of Iron Pnictides
• Structural and magnetic transition in CeFeAsO: separated or connected?
• Orbital-selective Mott phase in multiorbital models for iron pnictides and chalcogenides
• Ferro-orbital ordering transition in iron telluride Fe${}_{1+y}$Te
• Theory of Multiband Superconductivity in Iron Pnictides
• Orbital selectivity in electron correlations and superconducting pairing of iron-based superconductors
• Magnetic and superconducting instabilities in a hybrid model of itinerant/localized electrons for iron pnictides
• Universal $\sqrt{2}\times \sqrt{2}$ structure and short-range charge order at the surfaces of BaFe${}_{2-x}$Co${}_x$As${}_2$ compounds with various Co doping levels
• Superconductivity in Multi-orbital t-J1-J2 Model and its Implications for Iron Pnictides
• Spin-fluctuations and the peak-dip-hump feature in the photoemission spectrum of actinides
• The magnetic phase diagram of an extended J1-J2 model on a modulated square lattice and its implications for the antiferromagnetic phase of KyFexSe2
• Magnetic order in orbital models of the iron pnictides
• Normal-State Hourglass Dispersion of the Spin Excitations in FeSe${}_x$Te${}_{1-x}$
• Magnetism, structure, and charge correlation at a pressure-induced Mott-Hubbard insulator-metal transition
• Spin Dynamics of a $J_1-J_2$ Antiferromagnet and its Implications for Iron Pnictides
• RKKY interaction in SDW phase of iron-based superconductors
• Spin excitations in the nematic phase and the metallic stripe spin-density wave phase of iron pnictides
• Properties of a diagonal 2-orbital ladder model of the Fe-pnictide superconductors
• Magnetic interactions in iron superconductors studied with a five-orbital model within the Hartree-Fock and Heisenberg approximations
• Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors
• On the dual role of the d-electrons in iron-pnictides
• A view from inside iron-based superconductors
• Iron-based superconductors: tales from the nuclei
• Effective Exchange Interactions for Bad Metals and Implications for Iron-based Superconductors
• Magnetic moment evolution and spin freezing in doped BaFe${}_2$As${}_2$
• Ising-nematic order in the bilinear-biquadratic model for the iron pnictides
• Electron Correlation and Spin Dynamics in Iron Pnictides and Chalcogenides
• Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides
• Anisotropic magnetic excitations of a frustrated bilinear-biquadratic spin model -- Implications for spin waves of detwinned iron pnictides
• Self-consistent spin-fluctuation spectrum and correlated electronic structure of actinides
• Theory of Magnetic Fluctuations in Iron Pnictides
• Magnetic order, disorder, and excitations under pressure in the Mott insulator Sr${}_2$IrO${}_4$
• Orbital order in a bosonic $p$-band triangular lattice
• Fermi surface evolution and checker-board block-spin antiferromagnetism in $A_x$Fe${}_{2-y}$Se${}_2$
• Optical study of the antiferromagnetic ordered state in electron-overdoped Ca0.77Nd0.23FeAs2
• Paramagnetic spin excitations in insulating Rb${}_{0.8}$Fe${}_{1.6}$Se${}_2$