Collective mode in the SU(2) theory of cuprates

Abstract

Recent advances in momentum-resolved electron energy-loss spectroscopy (MEELS) and resonant inelastic X-ray scattering (RIXS) now allow one to access the charge response function with unprecedented versatility and accuracy. This allows for the study of excitations which were inaccessible recently, such as low-energy and finite momentum collective modes. The SU(2) theory of the cuprates is based on a composite order parameter with SU(2) symmetry fluctuating between superconductivity and charge order. The phase where it fluctuates is a candidate for the pseudogap phase of the cuprates. This theory has a signature, enabling its strict experimental test, which is the fluctuation between these two orders, corresponding to a charge 2 spin 0 mode at the charge ordering wave-vector. Here we derive the influence of this SU(2) collective mode on the charge susceptibility in both strong and weak coupling limits, and discuss its relation to MEELS, RIXS and Raman experiments. We find two peaks in the charge susceptibility at finite energy, whose middle is the charge ordering wave-vector, and discuss their evolution in the phase diagram.

References in corpus (67)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Charge order driven by Fermi-arc instability in Bi2201
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Resonant x-ray scattering studies of charge order in cuprates
• 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
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• SO(5) Theory of Antiferromagnetism and Superconductivity
• 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
• Pseudogap state from quantum criticality
• Phase competition in trisected superconducting dome
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• The symmetry of charge order in cuprates
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Momentum-dependent charge correlations in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ superconductors probed by resonant x-ray scattering: Evidence for three competing phases
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• Fermi-surface reconstruction by stripe order in cuprate superconductors
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Universal quantum oscillations in the underdoped cuprate superconductors
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Anomalous density fluctuations in a strange metal
• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Pseudogap, Superconducting Gap, and Fermi Arc in High-Tc Cuprates Revealed by Angle-Resolved Photoemission Spectroscopy
• Amplitude Higgs mode and admittance in superconductors with a moving condensate
• Pair density wave, charge density wave and vortex in high Tc cuprates
• Directly characterizing the relative strength and momentum dependence of electron-phonon coupling using resonant inelastic x-ray scattering
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Competing Order in the Mixed State of High Temperature Superconductors
• Linear Response Theory and the Universal Nature of the Magnetic Excitation Spectrum of the Cuprates
• Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
• An inelastic x-ray study of phonon broadening and charge density wave formation in ortho-II ordered YBa2Cu3O6.54
• Hall, Seebeck, and Nernst Coefficients of Underdoped HgBa2CuO4+d: Fermi-Surface Reconstruction in an Archetypal Cuprate Superconductor
• Angle-resolved photoemission spectroscopy study of HgBa${}_2$CuO${}_{4+\delta }$
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Pi excitation of the t-J model
• Where is the pi particle?
• Symmetry of the superconducting gap in $HgB{a}_{2}CaC{u}_2{O}_{6+\delta }$ single crystals from electronic Raman scattering
• Charge orders, magnetism and pairings in the cuprate superconductors
• Nodes of the superconducting gap probed by electronic Raman scattering in HgBa_{2}CaCu_{2}O_{6+δ} single crystals
• Comparison of charge modulations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ and YBa${}_2$Cu${}_3$O${}_{6.6}$
• Time-reversal symmetry breaking versus superstructure
• Effective SU(2) theory for the pseudogap state
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Long-range order and pinning of charge-density waves in competition with superconductivity
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Two Distinct Electronic Contributions in the Fully Symmetric Raman Response of High $T_c$ Cuprates
• Resonant Raman scattering in mercurate single crystals
• The phase diagram of the underdoped cuprates at high magnetic field
• $\eta$ collective mode as A${}_{1g}$ Raman resonance in cuprate superconductors
• A new class of collective excitations of the Hubbard model I: $\eta$ excitation of the negative--$U$ model
• Angle Resolved Photo-Emission Spectroscopy signature of the Resonant Excitonic State
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Magnetic Coherence as a Universal Feature of Cuprate Superconductors
• The nature of the charge density waves in under-doped YBa${}_2$Cu${}_3$O${}_{6.54}$ revealed by X-ray measurements of the ionic displacements
• A model for the neutron resonance in HgBa${}_2$CuO${}_{4+\delta }$
• Onset field for Fermi-surface reconstruction in the cuprate superconductor YBCO

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