Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Tranquada, J. M.

doi:10.1002/chin.200621216

Cited by 9 publications

(11 citation statements)

References 260 publications

(438 reference statements)

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“…Defects and crystal boundaries would be expected to rearrange the order parameters locally in a similar fashion, thus causing large effects that have no analog in semiconductors. This result is also consistent with the observed complexity of lattice instabilities in these materials 135 . Describing the latter requires addition of an electron-phonon interaction to H 0 + ∆H, but doing so is straightforward given that the only effect of moving atoms around is to change the underlying band structure.…”

Section: Particle-hole Asymmetrysupporting

confidence: 91%

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Hartree-Fock computation of the high-Tccuprate phase diagram

Laughlin

2014

Phys. Rev. B

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A computation of the cuprate phase diagram is presented. Adiabatic deformability back to the density function band structure plus symmetry constraints lead to a Fermi liquid theory with five interaction parameters. Two of these are forced to zero by experiment. The remaining three are fit to the moment of the antiferromagnetic state at half filling, the superconducting gap at optimal doping, and the maximum pseudogap. The latter is identified as orbital antiferromagnetism. Solution of the Hartree-Fock equations gives, in quantitative agreement with experiment, (1) quantum phase transitions at 5% and 16% p-type doping, (2) insulation below 5%, (3) a d-wave pseudogap quasiparticle spectrum, (4) pseudogap and superconducting gap values as a function of doping, (5) superconducting Tc versus doping, (6) London penetration depth versus doping, and (7) spin wave velocity. The fit points to superexchange mediated by the bonding O atom in the Cu-O plane as the causative agent of all three ordering phenomena. I. INTRODUCTIONThe purpose of this paper is to discuss the theoretical phase diagram for the high-T c cuprate superconductors shown in Fig. 1 1-8 . It is generated using standard Hartree-Fock methods starting from a Fermi liquid theory with three interaction parameters 9-11 . It is characterized by three interpenetrating order parameters: spin antiferromagnetism, or spin density wave (SDW), d-wave superconductivity (DWS) and orbital current antiferromagnetism, or d-density wave (DDW) 12-14 .However, the central issue of the paper is not building better models for the cuprates but the application of elementary quantum mechanics to them. The equations that generate Fig. 1 are not just made up. They are the only equations one can write down that are compatible with adiabatic evolution out of a fictitious metallic parent, plus a handful of experimental fiducials. This evolution, which strictly enforces the Feynman rules, is the starting point of all conventional solid state physics. The ability of these equations to account broadly and well for all key aspects of high-T c phenomenology thus indicates that high-T c cuprates are not qualitatively different from other solids, as has often been suggested might be the case, but are simply materials with unusually complex low-energy spectroscopy. This complexity, which results from delicate interplay of multiple order parameters, has prevented the problem from being solved empirically. But elementary quantum mechanics so circumscribes the mathematics that one can say with confidence that the phase diagram in Fig. 1 is correct, even though one of its features, the identification of DDW with the cuprate pseudogap, is still in doubt phenomenologically [15][16][17][18][19] .The results reported in this paper therefore have significance far greater than simply accounting for the behavior of a particular class of materials. The 25-year history of the cuprates has demonstrated rather brutally that first-principles theoretical control of solids at the energy scales relevant to electron...

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Section: Particle-hole Asymmetrysupporting

confidence: 91%

“…2 and (2) the spin moment at half-filling be s = 0.25, half the maximum classically allowed value. A moment of this size is characteristic of the insulating cuprates [132][133][134][135] . The result, shown in Fig.…”

Section: Sdw Vs Ddwmentioning

confidence: 99%

Hartree-Fock computation of the high-Tccuprate phase diagram

Laughlin

2014

Phys. Rev. B

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“…From these formulas and the data for NSC, we obtain J = 161 +105 −46 meV, where we have used half of the half-width at half maximum as an estimate of uncertainty inq. This value of J (with its substantial uncertainty) is on the high-side of the distribution of results for other cuprates, but that distribution has a significant width [13].…”

Section: Data and Analysismentioning

confidence: 91%

“…There are a number of commonly observed responses in the cuprates. In the insulating parent compounds, antiferromagnetic spin waves disperse from magnetic Bragg peaks characterized by wave vector Q AF = (0.5, 0.5, 0) [13]. With increasing hole-doping, the dispersion of the magnetic excitations tends to transform into an "hourglass" shape with incommensurate excitations at low energies, as has been observed in La 2−x Ba x CuO 4 (LBCO), La 2−x Sr x CuO 4 (LSCO), YBa 2 Cu 3 O 6+δ (YBCO), and Bi 2 Sr 2 CaCu 2 O 8+δ (BSCCO) [14].…”

Section: Introductionmentioning

confidence: 99%

Gapless spin excitations in superconducting La2−xCa1+xCu2O6 with
Schneeloch
¹
,
Zhong
²
,
Stone
³

et al. 2019
Phys. Rev. B
5
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0
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We report inelastic neutron scattering on single crystals of the bilayer cuprate family La2−xCa1+xCu2O 6+δ , including two crystals made superconducting (transitions at 45 and 55 K) by high-pressure annealing in an oxygen-containing atmosphere. The magnetic excitations in the non-superconducting crystal have a similar temperature-dependence as those in weakly hole-doped cuprates. In the superconducting crystals, there is a near-uniform suppression of the magnetic spectral weight with increasing temperature; in particular, there are no signs of a spin gap or "resonance" peak. This is different from the temperature dependence seen in many optimally-doped cuprates but similar to the behavior seen in certain underdoped cuprates. We discuss the possible connection with pair-density-wave superconductivity.

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“…Various experiment-based arguments in favor of either stripes or checkerboards for lanthanum cuprates have been put forward in Refs. [31][32][33][34][35][36][37]40], but the issue has not been settled either. This issue is elusive not only in lanthanum cuprates, but also for the yittrium-based and other cuprate families -see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

Pseudogap and Fermi surface in the presence of a spin-vortex checkerboard for 1/8-doped lanthanum cuprates

Dolgirev

Fine

2017

Phys. Rev. B

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Lanthanum family of high-temperature cuprate superconductors is known to exhibit both spin and charge electronic modulations around doping level 1/8. We assume that these modulations have the character of two-dimensional spin-vortex checkerboard and investigate whether this assumption is consistent with the Fermi surface and the pseudogap measured by angle-resolved photo-emission spectroscopy. We also explore the possibility of observing quantum oscillations of transport coefficients in such a background. These investigations are based on a model of non-interacting spin-1/2 fermions hopping on a square lattice and coupled through spins to a magnetic field imitating spin-vortex checkerboard. The main results of this article include (i) calculation of Fermi surface containing Fermi arcs at the positions in the Brillouin zone largely consistent with experiments; (ii) identification of factors complicating the observations of quantum oscillations in the presence of spin modulations; and (iii) investigation of the symmetries of the resulting electronic energy bands, which, in particular, indicates that each band is double-degenerate and, in addition, has at least one conical point, where it touches another double-degenerate band. We discuss possible implications these cones may have for the transport properties and the pseudogap.

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Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Abstract: ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract, please click on HTML or PDF.

Cited by 9 publications

References 260 publications

Hartree-Fock computation of the high-Tccuprate phase diagram

Hartree-Fock computation of the high-Tccuprate phase diagram

Gapless spin excitations in superconducting La2−xCa1+xCu2O6 with
Schneeloch
¹
,
Zhong
²
,
Stone
³

et al. 2019
Phys. Rev. B
5
1
3
0
View full text Add to dashboard Cite

Pseudogap and Fermi surface in the presence of a spin-vortex checkerboard for 1/8-doped lanthanum cuprates

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Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Abstract: ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract, please click on HTML or PDF.

Cited by 9 publications

References 260 publications

Hartree-Fock computation of the high-Tccuprate phase diagram

Hartree-Fock computation of the high-Tccuprate phase diagram

Gapless spin excitations in superconducting La2−xCa1+xCu2O6 with Schneeloch1, Zhong2, Stone3 et al. 2019Phys. Rev. B5130View full textAdd to dashboardCite

Pseudogap and Fermi surface in the presence of a spin-vortex checkerboard for 1/8-doped lanthanum cuprates

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Gapless spin excitations in superconducting La2−xCa1+xCu2O6 with
Schneeloch
¹
,
Zhong
²
,
Stone
³

et al. 2019
Phys. Rev. B
5
1
3
0
View full text Add to dashboard Cite