Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?

Abstract

Magnetism and nematic order are the two non-superconducting orders observed in iron-based superconductors. To elucidate the interplay between them and ultimately unveil the pairing mechanism, several models have been investigated. In models with quenched orbital degrees of freedom, magnetic fluctuations promote stripe magnetism which induces orbital order. In models with quenched spin degrees of freedom, charge fluctuations promote spontaneous orbital order which induces stripe magnetism. Here we develop an unbiased approach, in which we treat magnetic and orbital fluctuations on equal footing. Key to our approach is the inclusion of the orbital character of the low-energy electronic states into renormalization group analysis. Our results show that in systems with large Fermi energies, such as BaFe2As2, LaFeAsO, and NaFeAs, orbital order is induced by stripe magnetism. However, in systems with small Fermi energies, such as FeSe, the system develops a spontaneous orbital order, while magnetic order does not develop. Our results provide a unifying description of different iron-based materials.

61 pages, 19 figures

References in corpus (28)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Theory of Electron Nematic Order in LaOFeAs
• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Ising and Spin orders in Iron-based Superconductors
• Orbital-driven nematicity in FeSe
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Emergence of the nematic electronic state in FeSe
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Enhancement of superconductivity near a nematic quantum critical point
• Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
• Anomalous Fermi surface in FeSe seen by Shubnikov-de Haas oscillation measurements
• Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides
• Observation of two distinct $d_{xz}/d_{yz}$ band splittings in FeSe
• Strong cooperative coupling of pressure-induced magnetic order and nematicity in FeSe
• Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates
• Inter-pocket pairing and gap symmetry in Fe-based superconductors with only electron pockets
• The origin of nematic order in FeSe
• Valley density-wave and multiband superconductivity in Fe-pnictides
• Strong $(\pi ,0)$ spin fluctuations in $\beta$-FeSe observed by neutron spectroscopy
• Conductivity anisotropy in the antiferromagnetic state of iron pnictides
• Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
• Interaction-induced singular Fermi surface in a high-temperature oxypnictide superconductor
• Spin-orbital interplay and topology in the nematic phase of iron pnictides
• Spin Ferroquadrupolar Order in the Nematic Phase of FeSe
• Vertical loop nodes in iron-based superconductors
• Effect of disorder on the competition between nematic and superconducting order in FeSe

Cited by in corpus (108)

• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Nematicity, magnetism and superconductivity in FeSe
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Strong cooperative coupling of pressure-induced magnetic order and nematicity in FeSe
• Exotic Superconducting States in FeSe-based Materials
• Optical Stabilization of Fluctuating High Temperature Ferromagnetism in YTiO${}_3$
• Charge induced nematicity in FeSe
• Competing orders at higher-order Van Hove points
• A chiral twist on the high-$T_c$ phase diagram in Moiré heterostructures
• Electronic anisotropies revealed by detwinned ARPES measurements of FeSe
• Hund interaction, spin-orbit coupling and the mechanism of superconductivity in strongly hole-doped iron pnictides
• Momentum Dependence of the Nematic Order Parameter in Iron-Based Superconductors
• Crystalline Nodal Topological Superconductivity and Bogolyubov Fermi Surfaces in Monolayer NbSe${}_2$
• Superconductivity in FeSe: the role of nematic order
• Nematicity at the Hund's metal crossover in iron superconductors
• Electronic nematic states tuned by isoelectronic substitution in bulk FeSe1-xSx
• Dome of magnetic order inside the nematic phase of sulfur-substituted FeSe under pressure
• Interplay between magnetism, superconductivity, and orbital order in a 5-pocket model for iron-based superconductors - a parquet renormalization group study
• Anomalous temperature evolution of the electronic structure of FeSe
• Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
• 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
• Orbital order and fluctuations in the two-leg ladder materials BaFe${}_2{X}_3$ ($X$ = S and Se) and CsFe${}_2$Se${}_3$
• The relationship between transport anisotropy and nematicity in FeSe
• Nematicity, magnetism and superconductivity in FeSe under pressure: Unified explanation based on the self-consistent vertex correction theory
• Topological superconductivity, ferromagnetism, and valley-polarized phases in moire systems: Renormalization group analysis for twisted double bilayer graphene
• Origin of diverse nematic orders in Fe-based superconductors: 45${}^{\circ }$ rotated nematicity in AFe${}_2$As${}_2$ (A=Cs, Rb)
• Orbital mismatch boosting nematic instability in iron-based superconductors
• Superconductivity without hole-pocket in electron-doped FeSe: Analysis beyond the Migdal-Eliashberg formalism
• Time-reversal symmetry-breaking nematic superconductivity in FeSe
• When superconductivity does not fear magnetism: Insight into electronic structure of RbEuFe${}_4$As${}_4$
• Quantitative characterization of short-range orthorhombic fluctuations in FeSe through pair distribution function analysis
• Orbital order in FeSe - the case for vertex renormalization
• Collapse of critical nematic fluctuations in FeSe under pressure
• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Bulk superconductivity and role of fluctuations in the iron-based superconductor FeSe at high pressures
• A Rigorous Formalism of Unconventional Symmetry Breaking in Fermi Liquid Theory and Its Application to Nematicity in FeSe
• $SU(4)$ Valley + Spin Fluctuation Interference Mechanism for Nematic Order in Magic Angle Twisted Bilayer Graphene: Impact of Vertex Corrections
• Spin-Orbital-Intertwined Nematic State in FeSe
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Non-local correlations in Iron Pnictides and Chalcogenides
• Eliashberg theory for spin-fluctuations mediated superconductivity -- Application to bulk and monolayer FeSe
• Role of multiorbital effects in the magnetic phase diagram of iron-pnictides
• Mechanism for nematic superconductivity in FeSe
• Distinct pressure evolution of coupled nematic and magnetic order in FeSe
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Spin Fluctuation Induced Linear Magnetoresistance in Ultrathin Superconducting FeSe Films
• Nematicity and superconductivity: Competition versus cooperation
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Magnetic tricritical point and nematicity in FeSe under pressure
• Widespread orthorhombic fluctuations in the (Sr,Na)Fe${}_2$As${}_2$ family of superconductors
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Hidden antiferro-nematic order in Fe-based superconductor BaFe${}_2$As${}_2$ and NaFeAs above $T_S$
• Orbital-selective spin waves in detwinned NaFeAs
• Orbital transmutation and the electronic spectrum of FeSe in the nematic phase
• Raman response in the nematic phase of FeSe
• Basic electronic properties of iron selenide under variation of structural parameters
• FeSe and the missing electron pocket problem
• Energy scale of nematic ordering in the parent iron-based superconductor:BaFe2As2
• Inter-orbital nematicity and the origin of a single electron Fermi pocket in FeSe
• Structural, electronic, and dynamical properties of the tetragonal and collapsed tetragonal phases of KFe${}_2$As${}_2$
• In-plane anisotropy of transport coefficients in the electronic nematic states: Universal origin of the nematicity in Fe-based superconductors
• The Coulomb problem in iron based superconductors
• Fluctuations and pairing in Fe-based superconductors: Light scattering experiments
• Role of nematicity in controlling spin fluctuations and superconducting Tc in bulk FeSe
• Effect of proton irradiation on the normal state low-energy excitations of Ba(Fe${}_{1-x}$Rh${}_x$)${}_2$As${}_2$ superconductors
• Twisted bilayer graphene at charge neutrality: competing orders of SU(4) Dirac fermions
• Fermi Surface Geometry and Optical Conductivity of a 2D Electron Gas near an Ising-Nematic Quantum Critical Point
• Orbital loop currents in iron-based superconductors
• Frustrated magnetic interactions in FeSe
• Anisotropic quasiparticle coherence in nematic BaFe${}_2$As${}_2$ studied with strain-dependent ARPES
• Nematicity and magnetism in LaFeAsO single crystals probed by ${}^{75}$As nuclear magnetic resonance
• Renormalization group analysis for the quasi-1D superconductor BaFe${}_2$S${}_3$
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Prediction of Double-Weyl Points in the Iron-Based Superconductor CaKFe${}_4$As${}_4$
• Driving force of the orbital-relevant electronic nematicity in Fe-based superconductors
• Real-space Loop Current Pattern in Time-reversal-symmetry Breaking Phase in Kagome Metals
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Modeling unconventional superconductivity at the crossover between strong and weak electronic interactions
• Anisotropy of the DC conductivity due to orbital-selective spin fluctuations in the nematic phase of iron superconductors
• Low temperature phase transitions under CDW state in kagome metals AV3Sb5 (A=Cs,Rb,K): Significance of mix-type Fermi surface electron correlations
• Vibrational anomalies in AFe${}_2$As${}_2$ (A$=$Ca, Sr, and Ba) single crystals
• Theories for charge-driven nematicity in kagome metals
• Specific heat in strongly hole-doped Iron-based superconductors
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference
• Incommensurate magnetic states induced by ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}\mathrm{N}{\mathrm{a}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Unconventional orbital-charge density wave mechanism in transition metal dichalcogenide 1T-TaS2
• Mapping out the spin fluctuations in Co-doped LaFeAsO single crystals by NMR
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• Diverse Exotic Orders and Fermiology in Fe-based Superconductors: A Unified Mechanism for $B_{1g}/B_{2g}$ Nematicity in FeSe/(Cs,Rb)Fe${}_2$As${}_2$ and Smectic Order in BaFe${}_2$As${}_2$
• Intertwined superconductivity and orbital selectivity in a three-orbital Hubbard model for the iron pnictides
• The driving mechanism of the d-wave orbital order in the iron-based superconductors
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• Itinerant fermions on a triangular lattice: unconventional magnetism and other ordered states
• Quantitative relationship between structural orthorhombicity, shear modulus and heat capacity anomaly of the nematic transition in iron-based superconductors
• Absence of nematic instability in LiFeAs
• Odd-parity quadrupole order and induced nonreciprocal transport in the kagome metal CsTi${}_3$Bi${}_5$ driven by quantum interference
• Robust $T$-Linear Resistivity due to SU(4) Valley + Spin Fluctuation Mechanism in Magic Angle Twisted Bilayer Graphene
• Landau-Level Quantization and Band Splitting of FeSe Monolayers Revealed by Scanning Tunneling Spectroscopy
• Edwards-Anderson parameter and local Ising-nematicity in FeSe revealed via NMR spectral broadening
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Tripling of the Superconducting Critical Current Density in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$ Retained After Pressure Release
• Microscopic origin of period-four stripe charge-density-wave in kagome metal CsV${}_3$Sb${}_5$
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• Specific Heat and the gap structure of a Nematic Superconductor, application to FeSe
• Temperature evolution of the Fermi surface of the FeSe monolayer on SrTiO${}_3$
• Eight-fold classification of superconducting orders
• L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$
• Functional renormalization of spinless triangular-lattice fermions: $N$-patch vs. truncated-unity scheme