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

Abstract

We report the results of a parquet renormalization group (RG) study of competing instabilities in the full 2D four pocket, three orbital low-energy model for iron-based superconductors. We derive and analyze the RG flow of the couplings, which describe all symmetry-allowed interactions between low-energy fermions. Despite that the number of the couplings is large, we argue that there are only two stable fixed trajectories of the RG flow and one weakly unstable fixed trajectory with a single unstable direction. Each fixed trajectory has a finite basin of attraction in the space of initial system parameters. On the stable trajectories, either interactions involving only $d_{xz}$ and $d_{yz}$ or only $d_{xy}$ orbital components on the electron pockets dominate, while on the weakly unstable trajectory interactions involving $d_{xz}$ ($d_{yz}$) and $d_{xy}$ orbital states on the electron pockets remain comparable. The behavior along the two stable fixed trajectories has been analyzed earlier [A.V. Chubukov, M. Khodas, and R.M. Fernandes, arXiv:1602.05503]. Here we focus on the system behavior along the weakly unstable trajectory and apply the results to FeSe. We find, based on the analysis of susceptibilities along this trajectory, that the leading instability upon lowering the temperature is towards a {\it three-component} d-wave orbital nematic order. Two components are the differences between fermionic densities on $d_{xz}$ and $d_{yz}$ orbitals on hole pockets and on electron pockets, and the third one is the difference between the densities of $d_{xy}$ orbitals on the two electron pockets. We argue that this order is consistent with the splitting of band degeneracies, observed in recent photoemission data on FeSe by A. Fedorov et al [arXiv:1606.03022].

arXiv comment27 pp, 17 figures

References in corpus (70)

• The Puzzle of High Temperature Superconductivity in Layered Iron Pnictides and Chalcogenides
• Nematic order in iron superconductors - who is in the driver's seat?
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• 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
• Divergent nematic susceptibility in an iron arsenide superconductor
• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Symmetry breaking orbital anisotropy on detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition
• The Structural Phase Transition in FeSe (Fe1+dSe)
• Ising and Spin orders in Iron-based Superconductors
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Nematic and meta-nematic transitions in the iron pnictides
• 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
• Effect of magnetic frustration on nematicity and superconductivity in Fe chalcogenides
• Dome-shaped magnetic order competing with high-temperature superconductivity at high pressures in FeSe
• Uniaxial strain detwinning of CaFe2As2 and BaFe2As2: optical and transport study
• Strong Interplay between Stripe Spin Fluctuations, Nematicity and Superconductivity in FeSe
• Origin of the tetragonal-to-orthorhombic (nematic) phase transition in FeSe: a combined thermodynamic and NMR study
• Nematicity and quantum paramagnetism in FeSe
• In-plane electronic anisotropy of underdoped "122" Fe-arsenide superconductors revealed by measurements of detwinned single crystals
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Nematic spin correlations in the tetragonal state of uniaxial strained BaFe2-xNixAs2
• 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
• 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
• Character of the structural and magnetic phase transitions in the parent and electron doped BaFe2As2 compounds
• 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
• Anisotropic charge dynamics in detwinned Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Parquet solution for a flat Fermi surface
• The origin of nematic order in FeSe
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Orbital-dependent Fermi Surface shrinking as a fingerprint of nematicity in FeSe
• Charge Nematicity and Electronic Raman Scattering in Iron-based Superconductors
• Nematic State of the Pnictides Stabilized by the Interplay Between Spin, Orbital, and Lattice Degrees of Freedom
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Superconductivity vs bound state formation in a two-band superconductor with small Fermi energy -- applications to Fe-pnictides/chalcogenides and doped SrTiO3
• Effect of nematic ordering on electronic structure of FeSe
• 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
• Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
• Superconductivity from orbital nematic fluctuations
• Competing magnetic double-Q phases and superconductivity-induced re-entrance of C2 magnetic stripe order in iron pnictides
• Flow to strong coupling in the two-dimensional Hubbard model
• Fermiology, Orbital Order, Orbital Fluctuation and Cooper Pairing in Iron-based Superconductors
• Microscopically derived Ginzburg-Landau theory for magnetic order in the iron pnictides
• Incommensurate nematic fluctuations in the two-dimensional Hubbard model
• 23Na and 75As NMR Study of Antiferromagnetism and Spin Fluctuations on NaFeAs Single Crystals
• Non-Fermi Liquid due to Orbital Fluctuations in Iron Pnictide Superconductors
• Interplay between magnetism, superconductivity, and orbital order in a 5-pocket model for iron-based superconductors - a parquet renormalization group study
• Superconductivity and Nematic Fluctuations in a model of FeSe monolayers: A Determinant Quantum Monte Carlo Study
• Coexistence of orbital degeneracy lifting and superconductivity in iron-based superconductors
• 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
• Raman resonance in iron-based superconductors: The magnetic scenario
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model
• Orbital order from the on-site orbital attraction

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• Close proximity of FeSe to a magnetic quantum critical point as revealed by high-resolution $\mu$SR measurements
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• Iron-based superconductors: teenage, complex, challenging
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• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Quadrupolar charge dynamics in the nonmagnetic FeSe${}_{1-x}$S${}_x$ superconductors
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• Anisotropy of the DC conductivity due to orbital-selective spin fluctuations in the nematic phase of iron superconductors
• Resurgence of superconductivity and the role of $d_{xy}$ hole band in FeSe${}_{1-x}$Te${}_x$
• Theory of spin-excitation anisotropy in the nematic phase of FeSe obtained from RIXS measurements
• Itinerant fermions on a triangular lattice: unconventional magnetism and other ordered states
• Specific Heat and the gap structure of a Nematic Superconductor, application to FeSe
• Resistivity anisotropy from the multiorbital Boltzmann equation in nematic FeSe
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