Interplay between magnetism, superconductivity, and orbital order in a 5-pocket model for iron-based superconductors - a parquet renormalization group study

Abstract

We report the results of the parquet renormalization group (RG) analysis of the phase diagram of the most general 5-pocket model for Fe-based superconductors. We use as an input the orbital structure of excitations near the five pockets made out of $d_{xz}$, $d_{yz}$, and $d_{xy}$ orbitals and argue that there are 40 different interactions between low-energy fermions in the orbital basis. All interactions flow under RG, as one progressively integrates out fermions with higher energies. We find that the low-energy behavior is amazingly simple, despite the large number of interactions. Namely, at low-energies the full 5-pocket model effectively reduces either to a 3-pocket model made of one $d_{xy}$ hole pocket and two electron pockets, or a 4-pocket model made of two $d_{xz}/d_{yz}$ hole pockets and two electron pockets. The leading instability in the effective 4-pocket model is a spontaneous orbital (nematic) order, followed by $s^{+-}$ superconductivity. In the effective 3-pocket model orbital fluctuations are weaker, and the system develops either $s^{+-}$ superconductivity or stripe SDW. In the latter case, nematicity is induced by composite spin fluctuations.

arXiv comment5+12 pages, 3+9 figures

References in corpus (45)

• Nematic order in iron superconductors - who is in the driver's seat?
• Functional renormalization group approach to correlated fermion systems
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Chiral superconductivity from repulsive interactions in doped graphene
• Theory of Electron Nematic Order in LaOFeAs
• Ising and Spin orders in Iron-based Superconductors
• FeAs-based superconductivity: a case study of the effects of transition metal doping on BaFe2As2
• Ferro-Orbital Order and Strong Magnetic Anisotropy in the Parent Compounds of Iron-Pnictide Superconductors
• Orbital-driven nematicity in FeSe
• Emergence of the nematic electronic state in FeSe
• Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Competing many-body instabilities and unconventional superconductivity in graphene
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Spin dynamics and an orbital-antiphase pairing symmetry in iron-based superconductors
• Space group symmetry, spin-orbit coupling and the low energy effective Hamiltonian for iron based superconductors
• Magnetic degeneracy and hidden metallicity of the spin density wave state in ferropnictides
• Observation of two distinct $d_{xz}/d_{yz}$ band splittings in FeSe
• Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides
• Strong cooperative coupling of pressure-induced magnetic order and nematicity in FeSe
• Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Momentum-dependent sign-inversion of orbital polarization in superconducting FeSe
• Parquet solution for a flat Fermi surface
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Charge Nematicity and Electronic Raman Scattering in Iron-based Superconductors
• Valley density-wave and multiband superconductivity in Fe-pnictides
• Nematicity and magnetism in FeSe and other families of Fe-based superconductors
• Nematic State of the Pnictides Stabilized by the Interplay Between Spin, Orbital, and Lattice Degrees of Freedom
• Impact of the 2 Fe unit cell on the electronic structure measured by ARPES in iron pnictides
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Orbitally and Magnetically Induced Anisotropy in Iron-based Superconductors
• Critical Quadrupole Fluctuations and Collective Modes in Iron Pnictide Superconductors
• Conductivity anisotropy in the antiferromagnetic state of iron pnictides
• Continuous renormalization for fermions and Fermi liquid theory
• Pairing in the iron arsenides: a functional RG treatment
• Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
• Superconductivity from orbital nematic fluctuations
• Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
• Fermiology, Orbital Order, Orbital Fluctuation and Cooper Pairing in Iron-based Superconductors
• Non-Fermi Liquid due to Orbital Fluctuations in Iron Pnictide Superconductors
• Superconductivity and Nematic Fluctuations in a model of FeSe monolayers: A Determinant Quantum Monte Carlo Study
• Nematicity driven by hybridization in iron-based superconductors
• Phase transitions in spin-orbital models with spin-space anisotropies for iron-pnictides: A study through Monte Carlo simulations
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model

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