Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model

Abstract

We perform a comprehensive analysis of the dynamical magnetic susceptibility χ(q,ω) in the slave-boson mean-field scheme of the bilayer t-J model. In the d-wave pairing state, the strongest magnetic spectral weight appears at q=Q=(pi,pi) and ω=ω_{Q}^{res}, and spreads into a diamond-shaped shell around Q in q space for ω<ω_{Q}^{res}. This weight is due to a collective mode, namely a particle-hole bound state, which has a downward ωversus q dispersion around Q. Within the high intensity shell, the incommensurate (IC) signals at q=(pi,pi\pm 2piη) and (pi\pm 2piη,pi) tend to be stronger than the diagonal incommensurate (DIC) signals at q=(pi\pm 2piη',pi\pm 2piη'), especially for a large hole density δ. For ω\ll ω_{Q}^{res} the IC signals completely disappear and the weight remains only around the DIC positions. For ω> ω_{Q}^{res} strong signals of Imχ(q,ω) tracing an upward dispersion are found and interpreted as an overdamped collective mode near ω_{Q}^{res}. In the normal state, Imχ(q,ω) has a broad peak at q=Q. That is, the IC and DIC signals appear only in the d-wave pairing state. We also study effects of a small orthorhombic anisotropy, which is intrinsic in untwinned YBCO crystals. Because of electron-electron correlations favoring d-wave shaped Fermi surface deformations (dFSD), we expect an enhanced anisotropy of magnetic excitation spectra. This effect is particularly pronounced for low δand at relatively high temperature. The present theory provides a rather detailed microscopic explanation of the most salient properties of magnetic excitations observed in YBCO.

arXiv comment50 pages, 20 figures

References in corpus (72)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Theory of Underdoped Cuprates
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Electrical Resistivity Anisotropy from Self-Organized One-Dimensionality in High-Temperature Superconductors
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• The Magnetic Excitation Spectrum and Thermodynamics of High-$T_c$ Superconductors
• Doping dependent evolution of the electronic structure of La2-xSrxCuO4 in the superconducting and metallic phases
• The Spin Excitation Spectrum in Superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Bilayer Splitting in the Electronic Structure of Heavily Overdoped Bi2Sr2CaCu2O8+d
• Incommensurate Magnetic Fluctuations in YBa2Cu3O6.6
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Local Magnetic Order vs. Superconductivity in a Layered Cuprate
• Energetics of Domain Walls in the 2D t-J model
• Spin Susceptibility in Underdoped $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• Slave Boson Approach to The Neutron Scattering in YBCO Superconductors
• From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting YBa2Cu3O6.5
• Superconductivity-Induced Anomalies in the Spin Excitation Spectra of Underdoped YBa_2 Cu_3 O_{6+x}
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Competition between charge/spin-density-wave orders and superconductivity in La${}_{1.875}$Ba${}_{0.125-x}$Sr${}_x$CuO${}_4$
• Superconducting Gap and Strong In-Plane Anisotropy in Untwinned YBa2Cu3O7-d
• Dynamic Stripes and Resonance in the Superconducting and Normal Phases of YBa2Cu3O6.5 Ortho-II Superconductor
• Theory of Neutron Scattering in the Normal and Superconducting State of YBCO
• Doubling of the bands in overdoped Bi2Sr2CaCu2O8-probable evidence for c-axis bilayer coupling
• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
• Mean-field theory for symmetry-breaking Fermi surface deformations on a square lattice
• Fermi surface fluctuations and single electron excitations near Pomeranchuk instability in two dimensions
• Magnetic Dynamics in Underdoped YBCO: Direct Observation of a Superconducting Gap
• Fermi Surface and Band Dispersion in La2-xSrxCuO4
• High-Frequency Spin Waves in YBa2Cu3O6.15
• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• The Relation of Neutron Incommensurability to Electronic Structure in High Temperature Superconductors
• Interplay between superconductivity and flux phase in the t-J model
• Formation of Electronic Nematic Phase in Interacting Systems
• Renormalized perturbation theory for Fermi systems: Fermi surface deformation and superconductivity in the two-dimensional Hubbard model
• Dual Nature of the Electronic Structure of the Stripe Phase
• High energy spin excitations in YBa_2 Cu_3 O_{6.5}
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Dispersion of Magnetic Excitations in Superconducting Optimally Doped YBa_2Cu_3O_6.95
• Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors: a consistent picture with tunneling and conductivity data
• ARPES study of Pb doped Bi_2Sr_2CaCu_2O_8 - a new Fermi surface picture
• Magnetic fluctuations and resonant peak in cuprates: a microscopic theory
• Frequency Evolution of Neutron Peaks Below Tc: Commensurate and Incommensurate Structure in LaSrCuO and YBaCuO
• On the Bilayer Coupling in the Yttrium-Barium Family of High Temperature Superconductors
• Deformation of the Fermi surface in the extended Hubbard model
• Flow to strong coupling in the two-dimensional Hubbard model
• Unified Description of the Resonance Peak and Incommensuration in High-$T_c$ Superconductors
• Pi excitation of the t-J model
• Where is the pi particle?
• Two resonant magnetic modes in an overdoped high-${\mathbf{T}}_{\mathbf{c}}$ superconductor
• Charge stripes seen with x-rays in La_(1.45)Nd_(0.4)Sr_(0.15)CuO_(4)
• Dispersion of the neutron resonance in cuprate superconductors
• Collective Modes in High-Temperature Superconductors
• Antiferromagnetic Excitations and Van Hove Singularities in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Magnetic Excitation of t-J Model with Quasi-One-Dimensional Fermi Surface -- Possible Relevance to LSCO Systems
• Excitation spectrum of d-wave Fermi surface deformation
• Anisotropic spin and charge excitations in superconductors: signature of electronic nematic order
• Orientational symmetry-breaking correlations in square lattice t-J model
• Doping dependence of the resonance peak and incommensuration in high-$T_c$ superconductors
• Fermi-liquid based theory for the in-plane magnetic anisotropy in untwinned high-T${}_c$ superconductors
• Influence of higher d-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors
• Double dispersion of the magnetic resonant mode in cuprates
• Effects of Charge Density Modulation on Incommensurate Antiferromagnetism: Ginzburg-Landau Study
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Anisotropy of incommensurate spin and charge fluctuations in detwinned YBa${}_2$Cu${}_3$O${}_{6+\delta }$

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• Functional renormalization group approach to correlated fermion systems
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• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
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• Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode
• Effect of magnetic field on spontaneous Fermi surface symmetry breaking
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• Fermi Liquid instabilities in two-dimensional lattice models
• Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45
• Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model
• Coexistence of strong nematic and superconducting correlations in a two-dimensional Hubbard model
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• Magnetic excitations in La-based cuprate superconductors: slave-boson mean-field analysis of the two-dimensional t-J model
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• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
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• Tendencies toward nematic order in YBa2Cu3O6+x: Uniform distortion vs. incipient charge stripes
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• Intimate relations between electronic nematic, d-density wave and d-wave superconducting states
• Spin-stiffness of anisotropic Heisenberg model on square lattice and possible mechanism for pinning of the electronic liquid crystal direction in YBCO
• Spontaneous fourfold-symmetry breaking driven by electron-lattice coupling and strong correlations in high-$T_c$ cuprates
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Multilayer cuprate superconductors as possible systems described by resonating-valence-bond and antiferromagnetic orders
• Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
• Electronic nematic phase transition in the presence of anisotropy
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Photoemission signatures of valence-bond stripes in cuprates: Long-range vs. short-range order
• Coexistence of magnetism and superconductivity in a t-J bilayer
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Flux Phase in Bilayer $t-J$ Model
• Flux Phase in Bilayer $t-J$ Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic Field
• Phenomenological theory of spin excitations in La- and Y-based cuprates
• Excitons in QED3 and spin response in a phase-fluctuating d-wave superconductor
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-T_c Superconductor
• Spin dynamics of possible density wave states in the pseudogap phase of the high temperature superconductors
• Broad line-width of antiferromagnetic spinwave due to electrons correlation
• Cuprate Superconductors in the Vicinity of a Pomeranchuk Instability
• Theory of the in-plane anisotropy of magnetic excitations in YBa_{2}Cu_{3}O_{6+y}
• Theory of the hourglass dispersion of magnetic excitations in high-T${}_c$ cuprates
• Emergence and tunability of Fermi-pocket and electronic instabilities in layered Nickelates
• Reply to 'Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-$T_c$ Superconductors'
• Spontaneous Magnetic Field and Local Density of States near a Time-Reversal Symmetry Broken Surface State of YBCO
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors