Intertwined spin-orbital coupled orders in the iron-based superconductors

Abstract

The underdoped phase diagram of the iron-based superconductors exemplifies the complexity common to many correlated materials. Indeed, multiple ordered states that break different symmetries but display comparable transition temperatures are present. Here, we argue that such a complexity can be understood within a simple unifying framework. This framework, built to respect the symmetries of the non-symmorphic space group of the FeAs/Se layer, consists of primary magnetically-ordered states and their vestigial phases that intertwine spin and orbital degrees of freedom. All vestigial phases have Ising-like and zero wave-vector order parameters, described in terms of composite spin order and exotic orbital-order patterns such as spin-orbital loop-currents, staggered atomic spin-orbit coupling, and emergent Rashba- and Dresselhaus-type spin-orbit interactions. Moreover, they host unusual phenomena, such as the electro-nematic effect, by which electric fields acts as transverse fields to the nematic order parameter, and the ferro-Néel effect, by which a uniform magnetic field induces Néel order. We discuss the experimental implications of our findings to iron-based superconductors and possible extensions to other correlated compounds with similar space groups.

19 pages, 7 figures

References in corpus (36)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• High-temperature superconductivity in iron-based materials
• Superconductivity in single-layer films of FeSe with a transition temperature above 100 K
• Theory of Intertwined Orders in High Temperature Superconductors
• Magnetic order in BaFe2As2, the parent compound of the FeAs based superconductors in a new structural family
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Competing Orders and Spin-Density-Wave Instability in La(O${}_{1-x}$F${}_x$)FeAs
• Theory of Electron Nematic Order in LaOFeAs
• Incommensurate magnetic order in the alpha-Fe(Te,Se) superconductor systems
• First-order magnetic and structural phase transitions in Fe${}_{1+y}$Se${}_x$Te${}_{1-x}$
• Ising and Spin orders in Iron-based Superconductors
• Orbital-driven nematicity in FeSe
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Multiband magnetism and superconductivity in Fe-based compounds
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Origin of the tetragonal-to-orthorhombic (nematic) phase transition in FeSe: a combined thermodynamic and NMR study
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Dislocations and vortices in pair density wave superconductors
• Nematicity, magnetism and superconductivity in FeSe
• Hund's coupling key role in multi-orbital correlations
• The key ingredients of the electronic structure of FeSe
• Monolayer FeSe on SrTiO${}_3$
• Observation of two distinct $d_{xz}/d_{yz}$ band splittings in FeSe
• Low-energy microscopic models for iron-based superconductors: a review
• Strong $(\pi ,0)$ spin fluctuations in $\beta$-FeSe observed by neutron spectroscopy
• Competing orders in FeAs layers
• Antiferromagnetic ordering in the absence of a structural distortion in Ba(Fe{1-x}Mn{x})2As2
• Spin reorientation in Na-doped BaFe${}_2$As${}_2$ studied by neutron diffraction
• Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
• Unfolding of the electronic structure through the induced representations of space groups: Application to Fe-based superconductors
• New Phase Induced by Pressure in the Iron-Arsenide Superconductor K-Ba122
• Competition between stripe and checkerboard magnetic instabilities in Mn-doped BaFe2As2
• Magnetic order without tetragonal-symmetry-breaking in iron arsenides: microscopic mechanism and spin-wave spectrum
• Spin-orbital interplay and topology in the nematic phase of iron pnictides
• Symmetry of re-entrant tetragonal phase in Ba1-xNaxFe2As2: Magnetic versus orbital ordering mechanism
• On the phonon dispersion relation of single-crystalline $\beta$--FeSe

Cited by in corpus (4)

• Inter-orbital nematicity and the origin of a single electron Fermi pocket in FeSe
• Preferred Spin Excitations in the Bilayer Iron-Based Superconductor CaK(Fe${}_{0.96}$Ni${}_{0.04}$)${}_4$As${}_4$ with Spin-Vortex Crystal Order
• Spin-Excitations Anisotropy in the Bilayer Iron-Based Superconductor CaKFe${}_4$As${}_4$
• Theory of spin-excitation anisotropy in the nematic phase of FeSe obtained from RIXS measurements