Quantum spin fluctuations and evolution of electronic structure in cuprates

Abstract

Correlation effects in CuO${}_2$ layers give rise to a complicated landscape of collective excitations in high-T${}_{\mathrm{c}}$ cuprates. Their description requires an accurate account for electronic fluctuations at a very broad energy range and remains a challenge for the theory. Particularly, there is no conventional explanation of the experimentally observed `resonant' antiferromagnetic mode, which is often considered to be a mediator of superconductivity. Here we model spin excitations of the hole-doped cuprates in the paramagnetic regime and show that this antiferromagnetic mode is associated with electronic transitions between anti-nodal X and Y points of the quasiparticle band that is pinned to the Fermi level. We observe that upon doping of 7-12\% the electronic spectral weight redistribution leads to the formation of a very stable quasiparticle dispersion due to strong correlation effects. The reconstruction of the Fermi surface results in a flattening of the quasiparticle band at the vicinity of the nodal $\mathrm{M}\Gamma /2$ point, accompanied by a high density of charge carriers. Collective excitations of electrons between the nodal $\mathrm{M}\Gamma /2$ and $\mathrm{XM}/2$ points form the additional magnetic holes state in magnetic spectrum, which protects the antiferromagnetic fluctuation. Further investigation of the evolution of spin fluctuations with the temperature and doping allowed us to observe the incipience of the antiferromagnetic ordering already in the paramagnetic regime above the transition temperature. Additionally, apart from the most intensive low-energy magnetic excitations, the magnetic spectrum reveals less intensive collective spin fluctuations that correspond to electronic processes between peaks of the single-particle spectral function.

References in corpus (38)

• Correlated Electrons in High Temperature Superconductors
• A Common Thread: the pairing interaction for the unconventional superconductors
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• The Magnetic Excitation Spectrum and Thermodynamics of High-$T_c$ Superconductors
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene
• The Spin Excitation Spectrum in Superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Non Fermi Liquid Behaviour near a $T=0$ spin-glass transition
• Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
• Dual boson approach to collective excitations in correlated fermionic systems
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• On the self-consistent spin-wave theory of layered Heisenberg magnets
• Robustness of the van Hove scenario for high-Tc superconductors
• Effects of the Van Hove singularities on magnetism and superconductivity in the t-t' Hubbard model: a parquet approach
• The neutron resonance in the cuprates and its effect on fermionic excitations
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors: a consistent picture with tunneling and conductivity data
• Plasmons in strongly correlated systems: spectral weight transfer and renormalized dispersion
• Spin Excitations in La2CuO4: Consistent Description by Inclusion of Ring-Exchange
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Magnetic fluctuations and resonant peak in cuprates: a microscopic theory
• Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
• Effective Heisenberg model and exchange interaction for strongly correlated systems
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Crossover from Collective to Incoherent Spin Excitations in Superconducting Cuprates Probed by Detuned Resonant Inelastic X-ray Scattering
• Doping evolution of spin and charge excitations in the Hubbard model
• RIXS studies of magnons and bimagnons in the lightly doped cuprate La2-xSrxCuO4
• Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates
• Inverse correlation between quasiparticle mass and Tc in a cuprate high-Tc superconductor
• Signatures of strong correlation effects in RIXS on Cuprates
• Microscopic analysis of the magnetic form factor in low-dimensional cuprates

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