Orbitally and Magnetically Induced Anisotropy in Iron-based Superconductors

Abstract

Recent experimental developments in the iron pnictides have unambiguously demonstrated the existence of in-plane electronic anisotropy in the absence of the long-range magnetic order. Such anisotropy can arise from orbital ordering, which is described by an energy splitting between the two otherwise degenerate $d_{xz}$ and $d_{yz}$ orbitals. By including this phenomenological orbital order into a five-orbital Hubbard model, we obtain the mean-field solutions where the magnetic order is determined self-consistently. Despite sensitivity of the resulting states to the input parameters, we find that a weak orbital order that places the $d_{yz}$ orbital slightly higher in energy than the $d_{xz}$ orbital, combined with intermediate on-site interactions, produces band dispersions that are compatible with the photoemission results. In this regime, the stripe antiferromagnetic order is further stabilized and the resistivity displays the observed anisotropy. We also calculate the optical conductivity and show that it agrees with the temperature evolution of the anisotropy seen experimentally.

10 pages, 9 figures. published version. references added

References in corpus (35)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Theory of Electron Nematic Order in LaOFeAs
• Symmetry breaking orbital anisotropy on detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition
• A minimal two-band model for the superconducting Fe-pnictides
• Ising and Spin orders in Iron-based Superconductors
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Magnetism and Charge Dynamics in Iron Pnictides
• Nodal Spin Density Wave and band topology of the FeAs based materials
• In-plane electronic anisotropy of underdoped "122" Fe-arsenide superconductors revealed by measurements of detwinned single crystals
• Orbital Order and Spontaneous Orthorhombicity in Iron Pnictides
• Spin fluctuations and superconductivity in a 3D tight-binding model for BaFe2As2
• Nematic spin fluid in the tetragonal phase of BaFe2As2
• Spin-triplet p-wave pairing in a 3-orbital model for iron pnictide superconductors
• Unprecedented anisotropic metallic state in BaFe2As2 revealed by optical spectroscopy
• Unified Picture for Magnetic Correlations in Iron-Based Superconductors
• Iron pnictides as a new setting for quantum criticality
• Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates
• Theory of the Magnetic Moment in Iron Pnictides
• Anisotropic charge dynamics in detwinned Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Properties of a two orbital model for oxypnictide superconductors: Magnetic order, B_2g spin-singlet pairing channel, and its nodal structure
• Distinct electronic nematicities between electron and hole underdoped iron pnictides
• On the origin of non-monotonic doping dependence of the in-plane resistivity anisotropy in Ba(Fe${}_{1-x}{T}_x$)${}_2$As${}_2$, $T$ = Co, Ni and Cu
• Neutron and ARPES Constraints on the Couplings of the Multiorbital Hubbard Model for the Pnictides
• Conductivity anisotropy in the antiferromagnetic state of iron pnictides
• Low magnetization and anisotropy in the antiferromagnetic state of undoped iron pnictides
• Cuprate Fermi orbits and Fermi arcs: the effect of short-range antiferromagnetic order
• Magnetic and Metallic State at Intermediate Hubbard U Coupling in Multiorbital Models for Undoped Fe Pnictides
• Orbital-weight redistribution triggered by spin order in the pnictides
• Tight binding model for iron pnictides
• Theory of Valley-Density Wave and Hidden Order in Iron-Pnictides
• Origin of In-Plane Anisotropy in Optical Conductivity for Antiferromagnetic Metallic Phase of Iron Pnictides
• Orbital density wave induced by electron-lattice coupling in orthorhombic iron pnictides

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• Competing instabilities, orbital ordering and splitting of band degeneracies from a parquet renormalization group analysis of a 4-pocket model for iron-based superconductors: application to FeSe
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• Manifestation of nematic degrees of freedom in the Raman response function of iron pnictides
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• Resistive anisotropy due to spin-fluctuation scattering in the nematic phase of iron pnictides
• Phase transitions in spin-orbital models with spin-space anisotropies for iron-pnictides: A study through Monte Carlo simulations
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• Multi-band effects in in-plane resistivity anisotropy of strain-detwinned disordered Ba(Fe${}_{1-x}$Ru${}_x$)${}_2$As${}_2$
• Quasiparticle scattering interference in iron pnictides: A probe of the origin of nematicity
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