Orbital-dependent Fermi Surface shrinking as a fingerprint of nematicity in FeSe

Abstract

The large anisotropy in the electronic properties across a structural transition in several correlated systems has been identified as the key manifestation of electronic nematic order, breaking rotational symmetry. In this context, FeSe is attracting tremendous interest, since electronic nematicity develops over a wide range of temperatures, allowing accurate experimental investigation. Here we combine angle-resolved photoemission spectroscopy and theoretical calculations based on a realistic multi-orbital model to unveil the microscopic mechanism responsible for the evolution of the electronic structure of FeSe across the nematic transition. We show that the self-energy corrections due to the exchange of spin fluctuations between hole and electron pockets are responsible for an orbital-dependent shrinking of the Fermi Surface that affects mainly the $xz/yz$ parts of the Fermi surface. This result is consistent with our experimental observation of the Fermi Surface in the high-temperature tetragonal phase, that includes the $xy$ electron sheet that was not clearly resolved before. In the low-temperature nematic phase, we experimentally confirm the appearance of a large ($\sim$ 50meV) $xz/yz$ splittings. It can be well reproduced in our model by assuming a moderate splitting between spin fluctuations along the $x$ and $y$ crystallographic directions. Our mechanism shows how the full entanglement between orbital and spin degrees of freedom can make a spin-driven nematic transition equivalent to an effective orbital order.

References in corpus (45)

• Nematic order in iron superconductors - who is in the driver's seat?
• Nematic Fermi Fluids in Condensed Matter Physics
• Orbital-driven nematicity in FeSe
• Emergence of the nematic electronic state in FeSe
• Normal-State Spin Dynamics and Temperature-Dependent Spin Resonance Energy in an Optimally Doped Iron Arsenide Superconductor
• Selective Mottness as a key to iron superconductors
• Effect of magnetic frustration on nematicity and superconductivity in Fe chalcogenides
• Reconstruction of Band Structure Induced by Electronic Nematicity in an FeSe Superconductor
• Strong Interplay between Stripe Spin Fluctuations, Nematicity and Superconductivity in FeSe
• Orbital-Ordering Induces Structural Phase Transition and the Resistivity Anomaly in Iron Pnictides
• Origin of the tetragonal-to-orthorhombic (nematic) phase transition in FeSe: a combined thermodynamic and NMR study
• Theoretical evidence for strong correlations and incoherent metallic state in FeSe
• Lack of coupling between superconductivity and orthorhombic distortion in stoichiometric single-crystalline FeSe
• Lifting of xz/yz orbital degeneracy at the structural transition in detwinned FeSe
• In-plane electronic anisotropy of underdoped "122" Fe-arsenide superconductors revealed by measurements of detwinned single crystals
• Tight-binding models for the new iron based superconductor materials
• Fermi surface of superconducting LaFePO determined by quantum oscillations
• Unusual band renormalization in the simplest iron based superconductor
• Observation of incipient charge nematicity in Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• 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
• Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates
• Momentum-dependent sign-inversion of orbital polarization in superconducting FeSe
• Fractional power-law behavior and its origin in iron-chalcogenide and ruthenate superconductors: Insights from first-principles calculations
• Origin of the Resistivity Anisotropy in the Nematic Phase of FeSe
• Charge Nematicity and Electronic Raman Scattering in Iron-based Superconductors
• Strong $(\pi ,0)$ spin fluctuations in $\beta$-FeSe observed by neutron spectroscopy
• Sign-reversing orbital polarization in the nematic phase of FeSe due to the $C_2$ symmetry-breaking in the self-energy
• Distinctive momentum dependence of the band reconstruction in the nematic state of FeSe thin film
• Interatomic Coulomb interaction and electron nematic bond order in FeSe
• Critical Quadrupole Fluctuations and Collective Modes in Iron Pnictide Superconductors
• Nematic fluctuations and the magneto-structural phase transition in $\mathrm{Ba}(\mathrm{F}{\mathrm{e}}_{1-\mathrm{x}}\mathrm{C}{\mathrm{o}}_{\mathrm{x}}{)}_2\mathrm{A}{\mathrm{s}}_2$
• Topological Phases in the Single-Layer FeSe
• Model of Electronic Structure and Superconductivity in Orbitally Ordered FeSe
• Orbital selective Fermi surface shifts and mechanism of high T${}_c$ superconductivity in correlated AFeAs (A=Li,Na)
• Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
• Large temperature dependence of the number of carriers in Co-doped BaFe2As2
• Quantum oscillations and upper critical magnetic field of the iron-based superconductor FeSe
• Observation of Dirac Cone Band Dispersion in FeSe Thin Films by Photoemission Spectroscopy
• Spin excitations in a model of FeSe with orbital ordering
• The form and the origin of the orbital ordering in the electronic nematic phase of the Iron-based superconductors
• Spin-orbital interplay and topology in the nematic phase of iron pnictides
• Effects of Fermi-surface shrinking on the optical sum rule in pnictides
• ARPES view of orbitally resolved quasiparticle lifetimes in iron pnictides
• Electronic structure properties in the nematic phases of FeSe

Cited by in corpus (81)

• Ironing out the details of unconventional superconductivity
• Nematicity, magnetism and superconductivity in FeSe
• The key ingredients of the electronic structure of FeSe
• Role of the orbital degree of freedom in iron-based superconductors
• Strong cooperative coupling of pressure-induced magnetic order and nematicity in FeSe
• Exotic Superconducting States in FeSe-based Materials
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Evidence for unidirectional nematic bond ordering in FeSe
• High-Tc superconductivity in FeSe at high pressure: Dominant hole carriers and enhanced spin fluctuations
• Evolution of the Fermi surface of the nematic superconductors FeSe1-xSx
• Suppression of electronic correlations by chemical pressure from FeSe to FeS
• Effect of nematic ordering on electronic structure of FeSe
• The Nematic Energy Scale and the Missing Electron Pocket in FeSe
• Electronic anisotropies revealed by detwinned ARPES measurements of FeSe
• Momentum Dependence of the Nematic Order Parameter in Iron-Based Superconductors
• Nematic Pairing from Orbital Selective Spin Fluctuations in FeSe
• Superconductivity in FeSe: the role of nematic order
• Nematicity at the Hund's metal crossover in iron superconductors
• Electronic nematic states tuned by isoelectronic substitution in bulk FeSe1-xSx
• Anomalous temperature evolution of the electronic structure of FeSe
• Lifted electron pocket and reversed orbital occupancy imbalance in FeSe
• Detailed band structure of twinned and detwinned BaFe${}_2$As${}_2$ studied with angle-resolved photoemission spectroscopy
• 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
• Interplay of nematic and magnetic orders in FeSe under pressure
• Pairing instability near a lattice-influenced nematic quantum critical point
• Spin-excitation anisotropy in the nematic state of detwinned FeSe
• Nodal gaps in the nematic superconductor FeSe from heat capacity
• Influence of Spin Orbit Coupling in the Iron-Based Superconductors
• Revealing the single electron pocket of FeSe in a single orthorhombic domain
• Orbital mismatch boosting nematic instability in iron-based superconductors
• Strongly enhanced temperature dependence of the chemical potential in FeSe
• Time-reversal symmetry-breaking nematic superconductivity in FeSe
• Shifts and Splittings of the Hole Bands in the Nematic Phase of FeSe
• Correlation strength, Lifshitz transition and the emergence of a two- to three-dimensional crossover in FeSe under pressure
• Orbital order in FeSe - the case for vertex renormalization
• Collapse of critical nematic fluctuations in FeSe under pressure
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• Non-local correlations in Iron Pnictides and Chalcogenides
• Electronic band structure of optimal superconductors: from cuprates to ferropnictides and back again
• Electronic nematicity in FeSe: a first-principles perspective
• Non-local $d_{xy}$ nematicity and the missing electron pocket in FeSe
• Singular magnetic anisotropy in the nematic phase of FeSe
• Distinct pressure evolution of coupled nematic and magnetic order in FeSe
• Spontaneous orbital polarization in the nematic phase of FeSe
• Nematic correlation length in iron-based superconductors probed by inelastic x-ray scattering
• Emergent vortex Majorana zero mode in iron-based superconductors
• $k_z$ selective scattering within Quasiparticle Interference measurements of FeSe
• Raman response in the nematic phase of FeSe
• Orbital transmutation and the electronic spectrum of FeSe in the nematic phase
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Orbital-selective spin waves in detwinned NaFeAs
• Inter-orbital nematicity and the origin of a single electron Fermi pocket in FeSe
• Energy scale of nematic ordering in the parent iron-based superconductor:BaFe2As2
• Hund's metal crossover and superconductivity in the 111 family of iron-based superconductors
• FeSe and the missing electron pocket problem
• Basic electronic properties of iron selenide under variation of structural parameters
• Complex biphase nature of the superconducting dome of the FeSe phase diagram
• Evidence for an Additional Symmetry Breaking from Direct Observation of Band Splitting in the Nematic State of FeSe Superconductor
• Nematicity and magnetism in LaFeAsO single crystals probed by ${}^{75}$As nuclear magnetic resonance
• Unconventional localization of electrons inside of a nematic electronic phase
• Anisotropic quasiparticle coherence in nematic BaFe${}_2$As${}_2$ studied with strain-dependent ARPES
• A Self-Adaptive First-Principles Approach for Magnetic Excited States
• Scaling of the Fano effect of the in-plane Fe-As phonon and the superconducting critical temperature in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Strain-derivative of thermoelectric properties: a sensitive probe for nematicity
• Accurate modeling of FeSe with screened Fock exchange and Hund's metal correlations
• Applications for ultimate spatial resolution in LASER based $\mu$-ARPES: A FeSe case study
• Charge carrier dynamics of FeSe thin film investigated by terahertz magneto-optical spectroscopy
• Anisotropy of the DC conductivity due to orbital-selective spin fluctuations in the nematic phase of iron superconductors
• Orbital selectivity versus Pomeranchuk instability in the iron-chalcogenide superconductors: A two-loop renormalization group study
• Nematic spectral signatures of the Hund's metal
• Uniaxial stress effect on the electronic structure of quantum materials
• Theory of spin-excitation anisotropy in the nematic phase of FeSe obtained from RIXS measurements
• Photoinduced nematic state in FeSe${}_{0.4}$Te${}_{0.6}$
• Atomic scale imaging of sign-changing order parameter in superconducting FeSe with Tunneling Andreev Reflection
• The role of orbital nesting in the superconductivity of Iron-based Superconductors
• Suppression of nematicity by tensile strain in multilayer FeSe/SrTiO${}_3$ films
• Detecting the orbital character of the spin fluctuation in the Iron-based superconductors with the resonant inelastic X-ray scattering spectroscopy
• Feedback of non-local $d_{xy}$ nematicity on the magnetic anisotropy in FeSe
• Pomeranchuk instability in the nematic phase of two monolayer FeSe/SrTiO3
• Resistivity anisotropy from the multiorbital Boltzmann equation in nematic FeSe
• Specific Heat and the gap structure of a Nematic Superconductor, application to FeSe