Theory of Electron Nematic Order in LaOFeAs

Abstract

We study a spin $S$ quantum Heisenberg model on the Fe lattice of the rare-earth oxypnictide superconductors. Using both large $S$ and large $N$ methods, we show that this model exhibits a sequence of two phase transitions: from a high temperature symmetric phase to a narrow region of intermediate ``nematic'' phase, and then to a low temperature spin ordered phase. Identifying phases by their broken symmetries, these phases correspond precisely to the sequence of structural (tetragonal to monoclinic) and magnetic transitions that have been recently revealed in neutron scattering studies of LaOFeAs. The structural transition can thus be identified with the existence of incipient (``fluctuating'') magnetic order.

3 figures, 6 pages

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• Impact of Dynamic Orbital Correlations on Magnetic Excitations in the Normal State of Iron-Based Superconductors
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• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Disordered hyperuniform vortex matter with rhombic distortions in FeSe at low fields
• Spin nematic fluctuations near a spin-density-wave phase
• Mechanism for nematic superconductivity in FeSe
• Nematic correlation length in iron-based superconductors probed by inelastic x-ray scattering
• Magnetic Frustration and Iron-Vacancy Ordering in Iron-Chalcogenide
• Photoinduced ultrafast dynamics of local nematicity and lattice distortions in FeSe crystals
• Quantum phase diagram of spin-$1$ $J_1-J_2$ Heisenberg model on the square lattice: an infinite projected entangled-pair state and density matrix renormalization group study
• Self-masking of spontaneous symmetry breaking in layer materials
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• Inelastic Neutron Scattering Studies of the Spin and Lattice Dynamics in Iron Arsenide Compounds
• Optical study on the spin-density wave properties in single crystalline Na${}_{1-\delta }$FeAs
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Magnetic tricritical point and nematicity in FeSe under pressure
• Orbital density wave induced by electron-lattice coupling in orthorhombic iron pnictides
• Electronic Structure, Magnetism and Superconductivity of Layered Iron Compounds
• Ab-initio perspective on structural and electronic properties of iron-based superconductors
• A Twisted Ladder: relating the Fe superconductors to the high $T_c$ cuprates
• Soft phonons reveal the nematic correlation length in Ba(Fe${}_{0.94}$Co${}_{0.06}$)${}_2$As${}_2$
• Broken mirror symmetry, incommensurate spin correlations, and $B_{2g}$ nematic order in iron pnictides
• Spectral density in a nematic state of iron pnictides
• Magnetism and superconductivity in the layered hexagonal transition metal pnictides
• Nematic phase without Heisenberg physics in FeAs planes
• Charge redistribution at the antiferromagnetic phase transition in SrFeAsF compound
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Thermal evolution of antiferromagnetic correlations and tetrahedral bond angles in superconducting FeTe${}_{1-x}$Se${}_x$
• Giant biquadratic interaction induced magnetic anisotropy in the iron-based superconductor AxFe2-ySe2
• Disordered Fe vacancies and superconductivity in potassium-intercalated iron selenide (K2-xFe4+ySe5)
• Neutron Scattering Measurements of Spatially Anisotropic Magnetic Exchange Interactions in Semiconducting K0.85Fe1.54Se2 (TN=280 K)
• Hidden antiferro-nematic order in Fe-based superconductor BaFe${}_2$As${}_2$ and NaFeAs above $T_S$
• Pressure Effects on Magnetically-Driven Electronic Nematic States in Iron-Pnictides
• Evidence for Local Moment by Electron Spin Resonance Study on Polycrystalline LaFeAsO${}_{1-x}$F${}_x$ (x=0 and 0.13)
• Experimental Evidences for Static Charge Density Waves in Iron Oxy-pnictides
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Spin and quadrupolar orders in the spin-1 bilinear-biquadratic model for iron-based superconductors
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Doping dependence of the anisotropic quasiparticle interference in NaFe1-xCoxAs iron-based superconductors
• Electronic Nematicity Revealed by Torque Magnetometry in Iron Arsenide EuFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Magnetism of the Fe${}^{2+}$ and Ce${}^{3+}$ sublattices in Ce${}_2$O${}_2$FeSe${}_2$: a combined neutron powder diffraction, inelastic neutron scattering and density functional study
• Short range magnetic order and effective suppression of superconductivity by manganese-doping in LaFe1-xMnxAsO1-yFy
• Power Law Like Correlation between Condensation Energy and Superconducting Transition Temperatures in Iron Pnictide/Chalcogenide Superconductors: Beyond the BCS Understanding
• Low Energy, Coherent, Stoner-like Excitations in CaFe${}_2$As${}_2$
• Spin fluctuation anisotropy as a probe of orbital-selective hole-electron quasiparticle excitations in detwinned Ba(Fe1-xCox)2As2
• Magnetic and nematic orders of the 2DEG at oxide (111) surfaces and interfaces
• Inter-layer Superconducting Pairing Induced c-axis Nodal Lines in Iron-based Superconductors
• Collective magnetic excitations of $C_4$ symmetric magnetic states in iron-based superconductors
• Tunneling spectroscopy for probing orbital anisotropy in iron pnictides
• Enhanced anisotropic spin fluctuations below tetragonal-to-orthorhombic transition in LaFeAs(O_{1-x}F_x) probed by ^{75}As and ^{139}La NMR
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Arc-shaped structure factor in the $J_1$-$J_2$-$J_3$ classical Heisenberg model on the triangular lattice
• Coupling of the A_{1g} As-phonon to magnetism in iron pnictides
• Optical study of Dirac fermions and related phonon anomalies in antiferromagnetic compound CaFeAsF
• Structural and superconducting properties in LaFeAs1-xSbxO1-yFy
• Intertwined magnetic and nematic orders in semiconducting KFe${}_{0.8}$Ag${}_{1.2}$Te${}_2$
• Electronic structure properties in the nematic phases of FeSe
• Effective Exchange Interactions for Bad Metals and Implications for Iron-based Superconductors
• Diverging Nematic Susceptibility, Physical Meaning of T* scale, and Pseudogap in the Spin Fermion Model for Pnictides
• Dirac cone in iron-based high Tc superconductors
• Dynamic spin-lattice coupling and nematic fluctuations in NaFeAs
• Candidate Elastic Quantum Critical Point in LaCu${}_{6-x}$Au${}_x$
• Spectral Evidence for Emergent Order in Ba${}_{1-x}$Na${}_x$Fe${}_2$As${}_2$
• Antiferromagnetism in Iron-Based Superconductors: Selection of Magnetic Order and Quasiparticle Interference
• Fe-based superconductors: unity or diversity?
• Emergent Criticality and Friedan Scaling in a 2D Frustrated Heisenberg Antiferromagnet
• Theoretical investigation of magnetic order in ReOFeAs, Re = Ce, Pr
• Acoustic and optical phonon dynamics from femtosecond time-resolved optical spectroscopy of superconducting iron pnictide Ca(Fe_0.944Co_0.056)_2As_2
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Momentum-resolved measurement of electronic nematic susceptibility in the FeSe${}_{0.9}$S${}_{0.1}$ superconductor
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• In-plane anisotropy of transport coefficients in the electronic nematic states: Universal origin of the nematicity in Fe-based superconductors
• Ising-nematic order in the bilinear-biquadratic model for the iron pnictides
• Observation of Ising spin-nematic order and its close relationship to the superconductivity in FeSe single crystals
• Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Superconductivity in a single layer alkali-doped FeSe: a weakly coupled two-leg ladder system
• Elementary Excitations due to Orbital Degrees of Freedom in Iron Based Superconductors
• Orbital-Selective Superconductivity and the Effect of Lattice Distortion in Iron-Based Superconductors
• Brief review on iron-based superconductors: are there clues for unconventional superconductivity?
• Structure of the pairing gap from orbital nematic fluctuations
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Nematic magnetoelastic effect contrasted between Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ and FeSe
• Spatial competition of the ground states in 1111 iron pnictides
• Pressure dependence of the low- temperature crystal structure and phase transition behaviour of CaFeAsF and SrFeAsF: A synchrotron x-ray diffraction study
• Antagonistic in-plane resistivity anisotropies from competing fluctuations in underdoped cuprates
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model
• Nematic Bond Theory of Heisenberg Helimagnets
• Damped spin-wave excitations in the itinerant antiferromagnet $\gamma$-Fe${}_{0.7}$Mn${}_{0.3}$
• Driving force of the orbital-relevant electronic nematicity in Fe-based superconductors
• Local Structure and Hyperfine Interactions of 57Fe in NaFeAs Studied by Mossbauer Spectroscopy
• Doping effects of Cr on the physical properties of BaFe${}_{1.9-x}$Ni${}_{0.1}$Cr${}_x$As${}_2$
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Anomalous spectral weight transfer in the nematic state of iron-selenide superconductor
• Observation of orbital ordering and origin of the nematic order in FeSe
• Spontaneous fourfold-symmetry breaking driven by electron-lattice coupling and strong correlations in high-$T_c$ cuprates
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Point Contact Spectroscopy of Fe Pnictides & Chalcogenides In The Normal State
• Crossover Behavior from Decoupled Criticality
• Electron Correlation and Spin Dynamics in Iron Pnictides and Chalcogenides
• Anisotropic magnetoelastic coupling in single-crystalline CeFeAsO as seen via high-resolution x-ray diffraction
• Pairing mechanism for nodal $s$-wave superconductivity in BaFe${}_2$(As,P)${}_2$: Analysis beyond Migdal-Eliashberg formalism
• Revealing the degree of magnetic frustration by non-magnetic impurities
• Isotropic Quenched Disorder Triggers a Robust Nematic State in Electron-Doped Pnictides
• Nematic Fluctuations in an Orbital Selective Superconductor Fe${}_{1+y}$Te${}_{1-x}$Se${}_x$
• Nonlinear and time-resolved optical study of the 112-type iron-based superconductor parent Ca${}_{1-x}$La${}_x$FeAs${}_2$ across its structural phase transition
• Pair correlations and structure factor of the $J_1$-$J_2$ square lattice Ising model in an external field within the Cluster Variation Method
• Raman scattering as a probe of charge nematic fluctuations in iron based superconductors
• Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems
• Raman scattering study of tetragonal magnetic phase in Sr${}_{1-x}$Na${}_x$Fe${}_2$As${}_2$: structural symmetry and electronic gap
• Potential Lifshitz transition at optimal substitution in nematic pnictide Ba${}_{1-x}$Sr${}_x$Ni${}_2$As${}_2$
• Nematic state stabilized by off-site Coulomb interaction in iron-based superconductors
• Nature of the Antiferromagnetic and Nematic Transitions in Sr${}_{1-x}$Ba${}_x$Fe${}_{1.97}$Ni${}_{0.03}$As${}_2$
• Quasi-one Dimensional Nanostructures as Sign of Nematicity in Iron Pnictides and Chalcogenides
• Study of antiferromagnetic and nematic phase transitions in $BaF{e}_2(A{s}_{1-x}{P}_x{)}_2$ by AC micro-calorimetry and SQUID magnetometry
• Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides
• Role of Fermi surface for the pressure-tuned nematic transition in the BaFe${}_2$As${}_2$ family
• Finite temperature and pressure molecular dynamics for BaFe2As2
• Tuning the magnetic and structural phase transitions of PrFeAsO via Fe/Ru spin dilution
• Quasiparticle scattering interference in iron pnictides: A probe of the origin of nematicity
• Orbital Resonance Mode in Superconducting Iron Pnictides
• Nematicity in LaFeAsO${}_{1-x}$F${}_x$
• Direct observation of spin excitation anisotropy in the paramagnetic orthorhombic state of BaFe${}_{2-x}$Ni${}_x$As${}_2$
• Ising nematic fluid phase of hard-core dimers on the square lattice
• Anisotropic magnetic excitations of a frustrated bilinear-biquadratic spin model -- Implications for spin waves of detwinned iron pnictides
• Magnetic-Field-Induced Spin Nematicity in FeSe1-xSx and FeSe1-yTey Superconductor Systems
• Strain-induced spin-nematic state and nematic susceptibility arising from $2\times 2$ Fe clusters in KFe${}_{0.8}$Ag${}_{1.2}$Te${}_2$
• Impact of the first order antiferromagnetic phase transition on the paramagnetic spin excitations and nematic phase of SrFe${}_2$As${}_2$
• Electronic origin of structural transition in 122 Fe based superconductors
• Evidence for polarons in iron pnictides of the Ln-1111 and AE-122 families
• Magnetic and Quasiparticle Excitation Spectra of an Itinerant $J_1-J_2$ Model for Iron Pnictide Superconductors
• A three-state model with competing antiferromagnetic and pairing interactions
• Electronic and magnetic properties of orthorhombic iron selenide (FeSe)
• Uniaxial "nematic-like" electronic structure and Fermi surface of untwinned CaFe2As2
• Identifying the dominant pairing interaction in high-$T_c$ FeSe superconductors through Leggett modes
• Random-strain-induced correlations in materials with intertwined nematic and magnetic orders
• High impact of spin-nematic order on the lattice domains in thin films of iron-based superconductors
• Theories for charge-driven nematicity in kagome metals
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference
• Impurity states in antiferromagnetic Iron Arsenides
• Orbital order from the on-site orbital attraction
• Interplay between Magnetic and Vestigial Nematic Orders in the Layered $J_1$-$J_2$ Classical Heisenberg Model
• Distinguishing XY from Ising Electron Nematics
• Gap-dependent quasiparticle dynamics and coherent acoustic phonons in parent iron pnictide CaFe2As2 across the spin density wave phase transition
• Incommensurate magnetic states induced by ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}\mathrm{N}{\mathrm{a}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• 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
• Uniaxial stress effect on the electronic structure of quantum materials
• Phase transitions in a frustrated biquadratic Heisenberg model with coupled orbital degree of freedom for iron-based superconductors
• 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${}_2$
• Surface Nematic Order in Iron Pnictides
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study
• Gap-like feature in the normal state of $\mathbf{X}(\mathbf{F}{\mathbf{e}}_{1-\mathbf{x}}\mathbf{C}{\mathbf{o}}_{\mathbf{x}}{)}_2\mathbf{A}{\mathbf{s}}_2$, $\mathbf{X}=\mathbf{Ba},\mathbf{Sr}$ and $\mathbf{F}{\mathbf{e}}_{1+\mathbf{y}}\mathbf{Te}$ revealed by Point Contact Spectroscopy
• Nematic order driven by superconducting correlations
• Mapping out the spin fluctuations in Co-doped LaFeAsO single crystals by NMR
• Strain tuning and anisotropic spin correlations in iron-based systems
• Structural investigation of the Sm(Fe1-xRux)As(O0.85F0.15) system: a synchrotron X-ray powder diffraction study
• Possible Nematic Order Driven by Magnetic Fluctuations in Iron Pnictides
• c-axis pressure induced antiferromagnetic order in optimally P-doped BaFe2(As0.70P0.30)2 superconductor
• Breaking of four-fold lattice symmetry in a model for pnictide superconductors
• Temperature-dependent striped antiferromagnetism of LaFeAsO in a Green's function approach
• Influence of orbital nematic order on spin responses in Fe-based superconductors
• The driving mechanism of the d-wave orbital order in the iron-based superconductors
• Evidence for negative thermal expansion in the superconducting precursor phase SmFeAsO
• A Ginzburg-Landau approach to the vortex-domain wall interaction in superconductors with nematic order
• Elastic theory for the vortex-lattice melting in iron-based high-Tc superconductors
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices
• Longitudinal modes of spin fluctuations in iron-based superconductors
• Orbital-transverse density-wave instabilities in iron-based superconductors
• Quantitative relationship between structural orthorhombicity, shear modulus and heat capacity anomaly of the nematic transition in iron-based superconductors
• The influence of the structural transition on magnetic fluctuations in NaFeAs
• Phase transition in CaFeAsH: bridging 1111 and 122 iron-based superconductors
• Absence of nematic ordering transition in a diamond lattice: Application to $FeS{c}_2{S}_4$
• Superconducting states of a J1-J2-K model for iron pnictides
• Suppression of nematicity by tensile strain in multilayer FeSe/SrTiO${}_3$ films
• The mechanism of anisotropic exchange interaction in superconducting iron arsenides
• Interplay of iron and rare-earth magnetic order in rare-earth iron pnictide superconductors under magnetic field
• Formation and local symmetry of Holstein polaron in t-J model
• Spin wave approach to the two-magnon Raman scattering in an J1x-J1y-J2-Jc antiferromagnetic Heisenberg model
• One-step atmospheric pressure synthesis of the ground state of Fe based LaFeAsO1-d superconductor
• Effects of Long-Range Interactions on Magnetic Excitations and Phase Transition on a Magnetically Frustrated Square Lattice
• Coarsening dynamics of Ising-nematic order in a frustrated Heisenberg antiferromagnet
• Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points
• Two-orbital quantum spin model of magnetism in the iron pnictides
• Magnetic excitations in the normal and nematic phases of iron pnictides
• Localized and itinerant dichotomy of electrons in Ba(Fe,Co)2As2
• Unified Spin Model for Magnetic Excitations in Iron Chalcogenides
• Edwards-Anderson parameter and local Ising-nematicity in FeSe revealed via NMR spectral broadening
• Lattice expansion from isotope substitution in the Iron based superconductors
• A Short Review of the $S_4$ Symmetric Microscopic Model for Iron-Based High Temperature Superconductors
• Electronic spin-triplet nematic with a twist
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Emergent Ising degrees of freedom above double-stripe magnetism
• Frustration-induced diffusive scattering anomaly and dimension change in $\mathrm{FeG}{\mathrm{e}}_2$