Broken mirror symmetry, incommensurate spin correlations, and $B_{2g}$ nematic order in iron pnictides

Abstract

Motivated by growing indications for a distinct form of nematic correlations in the extremely hole doped iron pnictide compounds $A$Fe${}_2$As${}_2$ ($A$=K,Rb,Cs), we consider spin-driven nematic order in the general case of incommensurate magnetic fluctuations. We classify the nematic order parameters by broken mirror symmetries of the tetragonal $D_{4h}$ point group, and use this scheme to construct a general Ginzburg-Landau theory that links the nematic order to spatial pattern of magnetic fluctuations. Our analysis points to incommensurate magnetic fluctuations of wavevector $(q,q)$ as underlying a $B_{2g}$ nematic order in $A$Fe${}_2$As${}_2$. We substantiate this idea by microscopic calculations of the nematic order based on 3-sublattice $(2\pi /3,2\pi /3)$ spin correlations in an extended bilinear-biquadratic Heisenberg model. We summarize the existing evidence in support of the proposed mechanism, suggest ways to further test it in future experiments, and discuss the implications of our results for iron-based high temperature superconductivity.

arXiv comment5+6 pages, 5+3 figures, published version

References in corpus (28)

• The Puzzle of High Temperature Superconductivity in Layered Iron Pnictides and Chalcogenides
• Antiferromagnetic order and spin dynamics in iron-based superconductors
• Theory of Electron Nematic Order in LaOFeAs
• Divergent nematic susceptibility in an iron arsenide superconductor
• Symmetry breaking orbital anisotropy on detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition
• Ising and Spin orders in Iron-based Superconductors
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Strong Interplay between Stripe Spin Fluctuations, Nematicity and Superconductivity in FeSe
• Nematic spin fluid in the tetragonal phase of BaFe2As2
• Iron pnictides as a new setting for quantum criticality
• Using Gap Symmetry and Structure to Reveal the Pairing Mechanism in Fe-based Superconductors
• Magnetically-Driven Suppression of Nematic Order in an Iron-Based Superconductor
• Superconductivity-induced reentrance of orthorhombic distortion in Ba1-xKxFe2As2
• Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe
• Double-Q spin-density wave in iron arsenide superconductors
• Proximity of Iron Pnictide Superconductors to a Quantum Tricritical Point
• Competition between two- and three-sublattice ordering for S=1 spins on the square lattice
• Quantum criticality in AFe2As2 with A = K, Rb, and Cs suppresses superconductivity
• Evidence of nematic order and nodal superconducting gap along [110] direction in RbFe2As2
• Origin of diverse nematic orders in Fe-based superconductors: 45${}^{\circ }$ rotated nematicity in AFe${}_2$As${}_2$ (A=Cs, Rb)
• Double stage nematic bond-ordering above double stripe magnetism: application to BaTi${}_2$Sb${}_2$O
• Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors
• Bicollinear Antiferromagnetic Order, Monoclinic Distortion, and Reversed Resistivity Anisotropy in FeTe as a Result of Spin-Lattice Coupling
• Spin excitations in hole-overdoped iron-based superconductors
• Reemergeing electronic nematicity in heavily hole-doped Fe-based superconductors
• Possible Bicollinear Nematic State with Monoclinic Lattice Distortions in Iron Telluride Compounds
• Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides
• Emergent phases in iron pnictides: Double-Q antiferromagnetism, charge order and enhanced nematic correlations

Cited by in corpus (11)

• Emergent XY electronic nematicity in iron-based superconductors
• Orbital selectivity in electron correlations and superconducting pairing of iron-based superconductors
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Emerging symmetric strain response and weakening nematic fluctuations in strongly hole-doped iron-based superconductors
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Dominant in-plane symmetric elastoresistance in CsFe2As2
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Anisotropic magnetic excitations of a frustrated bilinear-biquadratic spin model -- Implications for spin waves of detwinned iron pnictides
• Fragility of the nematic spin liquid induced by diagonal couplings in the square-lattice SU(3) model