Magnetic coherence as a universal feature of cuprate superconductors

Morr, Dirk K.; Pines, David

doi:10.1103/physrevb.62.15177

Cited by 11 publications

(6 citation statements)

References 28 publications

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“…The lower boundary of the Stoner continuum can be related to specific excitations between points on the Fermi surface. This was studied in particular close to the (π, π) point of the Fermi surface, in relation to the neutron resonance measured at this point [87,88]. More specifically, one can calculate the value of E −k+q + E k for k on the Fermi surface, which gives |∆ −k+q | + |∆ k |.…”

Section: Appendix C: Decomposition Of the Stoner Continuummentioning

confidence: 99%

Collective mode in the SU(2) theory of cuprates

2018

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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.

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Section: Appendix C: Decomposition Of the Stoner Continuummentioning

confidence: 99%

Collective mode in the SU(2) theory of cuprates

2018

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“…These effects, termed "magnetic coherence effects" [112], have been explained theoretically [270,271], based on a modified form of Eq. ( 59).…”

Section: Magnetic Coherence In Lamentioning

confidence: 99%

The effect of collective spin-1 excitations on electronic spectra in high-T_csuperconductors

Eschrig

2006

Advances in Physics

358

431

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We review recent experimental and theoretical results on the interaction between single-particle excitations and collective spin excitations in the superconducting state of high-Tc cuprates. We concentrate on the traces, that sharp features in the magnetic-excitation spectrum (measured by inelastic neutron scattering) imprint in the spectra of single-particle excitations (measured e.g. by angle-resolved photoemission spectroscopy, tunneling spectroscopy, and indirectly also by optical spectroscopy). The ideal object to obtain a quantitative picture for these interaction effects is a spin-1 excitation around 40 meV, termed 'resonance mode'. Although the total weight of this spin-1 excitation is small, the confinement of its weight to a rather narrow momentum region around the antiferromagnetic wavevector makes it possible to observe strong self-energy effects in parts of the electronic Brillouin zone. Notably the sharpness of the magnetic excitation in energy has allowed to trace these self-energy effects in the single-particle spectrum rather precisely. Namely, the doping-and temperature dependence together with the characteristic energy-and momentum behavior of the resonance mode has been used as a tool to examine the corresponding self-energy effects in the dispersion and in the spectral lineshape of the single-particle spectra, and to separate them from similar effects due to electron-phonon interaction. This leads to the unique possibility to single out the self-energy effects due to the spin-fermion interaction and to directly determine the strength of this interaction in high-Tc cuprate superconductors. The knowledge of this interaction is important for the interpretation of other experimental results as well as for the quest for the still unknown pairing mechanism in these interesting superconducting materials.

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“…[81][82][83][84] A RPA treatment on the bare propagator χ 0 (ω, q) of collective spin-1 excitations due to a weak coupling as measured by the coupling constant g with otherwise noninteracting fermionic (BCS) quasiparticles yields g(ω, q) = χ 0 (ω, q) and h(ω, q) = −g 2 χ 0 (ω, q). [85][86][87][88][89] The RPA approximation (1.1) has been improved in three ways. First, the single-band Hubbard model can be generalized to the three-band Hubbard model.…”

Section: Introductionmentioning

confidence: 99%

Influence of higherd-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors

et al. 2004

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Using a fermiology approach to the computation of the magnetic susceptibility measured by neutron scattering in hole-doped high-T c superconductors, we estimate the effects on the incommensurate peaks caused by higher d-wave harmonics of the superconducting order parameter induced by underdoping. The input parameters for the Fermi surface and d-wave gap are taken directly from angle-resolved photoemission experiments on Bi 2 Sr 2 CaCu 2 O 8+x (Bi2212). We find that higher d-wave harmonics lower the momentum-dependent spin gap at the incommensurate peaks as measured by the lowest spectral edge of the imaginary part in the frequency dependence of the magnetic susceptibility of Bi2212. This effect is robust whenever the fermiology approach captures the physics of high-T c superconductors. At energies above the resonance we observe diagonal incommensurate peaks. We show that the crossover from parallel incommensuration below the resonance energy to diagonal incommensuration above it is connected to the values and the degeneracies of the minima of the two-particle energy continuum.

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Magnetic coherence as a universal feature of cuprate superconductors

Cited by 11 publications

References 28 publications

Collective mode in the SU(2) theory of cuprates

Collective mode in the SU(2) theory of cuprates

The effect of collective spin-1 excitations on electronic spectra in high-T_csuperconductors

Influence of higherd-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors

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Magnetic coherence as a universal feature of cuprate superconductors

Cited by 11 publications

References 28 publications

Collective mode in the SU(2) theory of cuprates

Collective mode in the SU(2) theory of cuprates

The effect of collective spin-1 excitations on electronic spectra in high-Tcsuperconductors

Influence of higherd-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors

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The effect of collective spin-1 excitations on electronic spectra in high-T_csuperconductors