Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase

Abstract

Magnetic and bond-charge interactions can arise from the same microscopic interaction. Motivated by this observation, we compute magnetic and bond-charge excitation spectra on an equal footing by introducing a simple effective model on a square lattice, which describes antiferromagnetic and d-wave superconducting phases around half-filling on the electron-doped side. The magnetic excitation spectrum Im chi(q, omega) has strong weight around q=(pi, pi) in low energy and its intensity map exhibits a pencil-tip-like shape in q-omega space. Around q=(0,0) magnetic excitations show a steep dispersion toward the (pi, pi) and (pi,0) directions, which is very similar to a spin-wave dispersion although the system is non-magnetic. Bond-charge excitations are characterized by four different symmetries and studied for all possible couplings. Bond-charge fluctuations with three different symmetries have large spectral weight around q=(pi, pi) in a relatively low-energy region and extend widely more than the magnetic excitation spectrum. The d-wave symmetry of bond-charge excitations also has sizable spectral weight along the direction (pi/2, pi/2)-(0, 0)-(pi/2, 0) in a low-energy region and exhibits softening around q approx (0.5 pi, 0), whereas no such softening is present in the other symmetries. These results capture the essential features observed in electron-doped cuprates and may motivate an experimental test of bond-charge excitations around q=(pi, pi) on top of the strong magnetic excitations there as well as additional softening in the d-wave channel in the (pi, pi)-(pi/2, pi/2) region at low temperatures near the magnetic phase. We extend the present analysis to the hole-doped side and highlight a contrast to the electron-doped side, which includes incommensurate correlations, electronic nematic correlations, and spin and bond-charge resonance modes in the superconducting state.

arXiv comment59 pages, 29 figures

References in corpus (125)

• The pseudogap in high-temperature superconductors: an experimental survey
• A Common Thread: the pairing interaction for the unconventional superconductors
• Hidden Order in the Cuprates
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Progress and perspectives on the electron-doped cuprates
• Spin waves and electronic interactions in La2CuO4
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• Theory of Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• The Hubbard Model
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high-Tc superconductor
• Magnetic neutron scattering in hole doped cuprate superconductors
• Strength of Correlations in electron and hole doped cuprates
• Slave Boson Approach to The Neutron Scattering in YBCO Superconductors
• 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
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Three dimensional collective charge excitations in electron-doped cuprate superconductors
• Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
• Theory of Neutron Scattering in the Normal and Superconducting State of YBCO
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Asymmetry of collective excitations in electron and hole doped cuprate superconductors
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Resonance in the electron-doped high-Tc superconductor Pr0.88LaCe0.12CuO(4-delta)
• High-energy spin and charge excitations in electron-doped copper oxide superconductors
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Dispersive spin excitations in highly overdoped cuprates revealed by resonant inelastic x-ray scattering
• The Relation of Neutron Incommensurability to Electronic Structure in High Temperature Superconductors
• Interplay between superconductivity and flux phase in the t-J model
• Magnetic and superconducting phase diagram of electron-doped Pr${}_{1-x}$LaCe${}_x$CuO${}_4$
• Intimate link between Charge Density Wave, Pseudogap and Superconducting Energy Scales in Cuprates
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• High-energy magnetic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Two types of nematicity in the phase diagram of the cuprate superconductor YBa${}_2$Cu${}_3$O${}_y$
• Superexchange coupling and spin susceptibility spectral weight in undoped monolayer cuprates
• Doping dependent charge order correlations in electron-doped cuprates
• Bond order instabilities in a correlated two-dimensional metal
• Momentum Dependence of Charge Excitations in the Electron-Doped Superconductor Nd1.85Ce0.15CuO4: a RIXS Study
• Cascade of phase transitions in the vicinity of a quantum critical point
• Detection of Acoustic Plasmons in Hole-Doped Lanthanum and Bismuth Cuprate Superconductors Using Resonant Inelastic X-Ray Scattering
• Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model
• Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors: a consistent picture with tunneling and conductivity data
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
• Direct observation of bulk charge modulations in optimally-doped Bi${}_{1.5}$Pb${}_{0.6}$Sr${}_{1.54}$CaCu${}_2$O${}_{8+\delta }$
• 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
• Spectroscopic Evidence for Charge Order Melting via Quantum Fluctuations in a Cuprate
• On the Bilayer Coupling in the Yttrium-Barium Family of High Temperature Superconductors
• Direct observation of charge order in underdoped and optimally doped Bi${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ by resonant inelastic x-ray scattering
• Dispersion, damping, and intensity of spin excitations in the single-layer (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ cuprate superconductor family
• Possible charge instabilities in two-dimensional doped Mott insulators
• Observation of small Fermi pockets protected by clean CuO2 sheets of a high-Tc superconductor
• Nematic Fluctuations in the Cuprate Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• High Energy Spin Excitations in Electron-Doped Superconducting Pr${}_{0.88}$LaCe${}_{0.12}$CuO${}_{4-\delta }$ with $T_c=21$ K
• Doping evolution of the charge excitations and electron correlations in electron-doped superconducting La${}_{2-x}$Ce${}_x$CuO${}_4$
• Paramagnons and high-temperature superconductivity in mercury-based cuprates
• Dispersion of the neutron resonance in cuprate superconductors
• Plasmon excitations in layered high-Tc cuprates
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Doping dependence of the magnetic excitations in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Resonance in Optimally Electron-Doped Superconductor Nd${}_{1.85}$Ce${}_{0.15}$CuO${}_{4-\delta }$
• Acoustic plasmons and conducting carriers in hole-doped cuprate superconductors
• Signature of quantum criticality in cuprates by charge density fluctuations
• Observation of a dispersive charge mode in hole-doped cuprates using resonant inelastic x-ray scattering at the oxygen K edge
• Evolution of the low energy spin dynamics in electron-doped high-transition temperature superconductor Pr0.88LaCe0.12CuO4-d
• A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4
• The nature of effective interaction in cuprate superconductors: a sign-problem-free quantum Monte-Carlo study
• Anisotropic damping of the spin fluctuations in doped La2-xSrxCuO4 studied by resonant inelastic x-ray scattering
• Origin of the high-energy charge excitations observed by resonant inelastic x-ray scattering in cuprate superconductors
• Crossover from Collective to Incoherent Spin Excitations in Superconducting Cuprates Probed by Detuned Resonant Inelastic X-ray Scattering
• High-energy magnetic excitations in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ studied by neutron and resonant inelastic X-ray scattering
• Gapped collective charge excitations and interlayer hopping in cuprate superconductors
• Magnetic Excitation of t-J Model with Quasi-One-Dimensional Fermi Surface -- Possible Relevance to LSCO Systems
• RIXS studies of magnons and bimagnons in the lightly doped cuprate La2-xSrxCuO4
• Excitation spectrum of d-wave Fermi surface deformation
• Doping dependence of the resonance peak and incommensuration in high-$T_c$ superconductors
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Unveiling phase diagram of the lightly doped high-Tc cuprate superconductors with disorder removed
• Evolution of plasmon excitations across the phase diagram of the cuprate superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Damped spin excitations in a doped cuprate superconductor with orbital hybridization
• A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates
• Magnetic Response in the Underdoped Cuprates
• Influence of higher d-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors
• Close inspection of plasmon excitations in cuprate superconductors
• A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation
• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Magnetic fluctuations in n-type high-$T_c$ superconductors reveal breakdown of fermiology
• Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates
• Magnetic excitations in La-based cuprate superconductors: slave-boson mean-field analysis of the two-dimensional t-J model
• Dual structure in the charge excitation spectrum of electron-doped cuprates
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• Spin dynamics in the antiferromagnetic phase for electron-doped cuprate superconductors
• $d$-wave bond-order charge excitations in electron-doped cuprates
• Self-energy effects in electronic Raman spectra of doped cuprates due to magnetic fluctuations
• Fermi surface in La-based cuprate superconductors from Compton scattering imaging
• Signatures of strong correlation effects in RIXS on Cuprates
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Doping dependence of d-wave bond-charge excitations in electron-doped cuprates
• Competition between spin-induced charge instabilities in underdoped cuprates
• Static spin susceptibility in magnetically ordered states
• Anomaly of longitudinal spin susceptibility at superconducting instability inside a magnetic phase
• The commensurate magnetic excitations induced by band-splitting and Fermi surface topology in n-type Cuprates
• Coexistence of the antiferromagnetic and superconducting order and its effect on spin dynamics in electron-doped high-$T_c$ cuprates

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• Theoretical perspectives on charge dynamics in high-temperature cuprate superconductors