Competing charge, spin, and superconducting orders in underdoped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="normal">YBa</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:math>

Hücker, M.; Christensen, Niels Bech; Holmes, A. T.; Blackburn, E.; Forgan, E. M.; Liang, Ruixing; Bonn, D. A.; Hardy, W. N.; Gutowski, Olof; Zimmermann, M. v.; Hayden, Stephen M; Chang, J.

doi:10.1103/physrevb.90.054514

Cited by 216 publications

(306 citation statements)

References 116 publications

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“…Moreover, the dFF-DW electronic-structure modulations have a characteristic energy scale which is the pseudogap energy. This intimate connection of the dFF-DW state with the pseudogap electronic structure is consistent with the fact that this state is found only within the pseudogap regime [11][12][13] . Of course, electronlattice interactions can also play a significant role, with the coupling to the B 1g modes long being of foremost interest 19,20,38 .…”

supporting

confidence: 63%

“…The dome-shaped region of d-symmetry Cooper-paired high-temperature superconductivity is universally accepted. More recently, an unusual density wave state has been detected by bulk probes [4][5][6][7][8][9][10][11][12][13] in the region indicated schematically in pink; its modulations are now known to have a d-symmetry form factor [14][15][16] . The range of hole density, p, in which d-symmetry form factor density waves are studied in this paper is indicated by the white double-headed arrow.…”

mentioning

confidence: 99%

“…Studies of non-energy-resolved R(r, E) images using this approach have revealed that the DW modulations in the O x (r) and O y (r) sublattice images of electronic structure in underdoped Bi 2 Sr 2 CaCu 2 O 8+x and Ca 2−x Na x CuO 2 Cl 2 consistently exhibit a relative phase of π and therefore a predominant d-symmetry form factor 14 ; X-ray scattering studies 15,16 yield the same conclusion for two other cuprates, YBa 2 Cu 3 O 7−x and Bi 2 Sr 2−x La x CuO 6+δ . Such X-ray scattering studies now generally report a short-ranged density wave with wavevector centred around Q = (Q, 0); (0, Q) occurring approximately in the pink shaded regions [11][12][13] of the schematic phase diagram in Fig. 1a.…”

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confidence: 99%

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Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state

et al. 2015

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Research on high-temperature superconducting cuprates is at present focused on identifying the relationship between the classic 'pseudogap' phenomenon 1,2 and the more recently investigated density wave state 3-13 . This state is generally characterized by a wavevector Q parallel to the planar Cu-O-Cu bonds 4-13 along with a predominantly d-symmetry form factor 14-16 (dFF-DW). To identify the microscopic mechanism giving rise to this state 17-29 , one must identify the momentum-space states contributing to the dFF-DW spectral weight, determine their particle-hole phase relationship about the Fermi energy, establish whether they exhibit a characteristic energy gap, and understand the evolution of all these phenomena throughout the phase diagram. Here we use energy-resolved sublattice visualization 14 of electronic structure and reveal that the characteristic energy of the dFF-DW modulations is actually the 'pseudogap' energy ∆ 1 . Moreover, we demonstrate that the dFF-DW modulations at E = −∆ 1 (filled states) occur with relative phase π compared to those at E = ∆ 1 (empty states). Finally, we show that the conventionally defined dFF-DW Q corresponds to scattering between the 'hot frontier' regions of momentum-space beyond which Bogoliubov quasiparticles cease to exist [30][31][32] . These data indicate that the cuprate dFF-DW state involves particle-hole interactions focused at the pseudogap energy scale and between the four pairs of 'hot frontier' regions in momentum space where the pseudogap opens.A conventional 'Peierls' charge density wave (CDW) in a metal results from particle-hole interactions which open an energy gap at specific regions of k-space that are connected by a common wavevector Q. This generates a modulation in the density of free charge at Q along with an associated modulation of the crystal lattice parameters. Such CDW states are now very well known 33 . In principle, a density wave modulating at Q can also exhibit a 'form factor' (FF) with different possible symmetries 34,35 (see Supplementary Section 1). This is relevant to the high-temperature superconducting cuprates because numerous researchers have recently proposed that the 'pseudogap' regime 1,2 (PG in Fig. 1a) contains an unconventional density wave with a d-symmetry form factor [17][18][19][20][21][22][23][24][25][26][27][28][29] . The basic phenomenology of such a state is that intraunit-cell (IUC) symmetry breaking renders the O x and O y sites within each CuO 2 unit-cell electronically inequivalent, and that this inequivalence is then modulated periodically at wavevector Q parallel to (1,0);(0,1). The real-space (r-space) schematic of such a d-symmetry FF density wave (dFF-DW) at Q x , as shown in Fig. 1b, exemplifies periodic modulations at the O x sites that are π out of phase with those at the O y sites. Such a state is then described by A(r) = D(r) cos(φ(r) + φ 0 (r)), where A(r) represents whatever is the modulating electronic degree of freedom, φ(r) = Q x · r is the DW spatial phase at location r, φ 0 (r) represents disorde...

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supporting

confidence: 63%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state

et al. 2015

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“…It can be extrapolated to ∼ 0.02 at 0 K (assuming that the linewidth follows the X-ray charge order parameter in the entire temperature range), corresponding to an absolute width of ∼ 3 MHz, roughly in agreement with the values obtained from line fitting in a LBCO powder at low temperatures 14 . The extrapolated relative width is about 2 times larger than the charge-stripe induced Cu NMR line splitting 8 in YBCO-0.108 -the values are probably even closer at doping 1/8 where the splitting in YBCO is expected to be the largest 3,7,8 , but a direct comparison to YBCO-1/8 is not available due to the complicated Cu NMR spectra. Furthermore, the Cu linewidth change in LBCO is similar to the 17 O quadrupolar line broadening/shift in YBCO-1/8 [10] and LESCO [20].…”

Section: Discussionmentioning

confidence: 99%

“…Yet some issues remain unresolved, and the technique is still capable of providing fresh information on the local electronic physics in the cuprates. Recently, charge and spin stripe order has emerged as one of the crucial ingredients of the cuprate phenomenology [1][2][3][4][5][6][7] , and NMR in these ordered phases has once more come into focus. In the yttrium-123 (YBCO) family, copper NMR has provided direct evidence of a commensurate charge stripe ordering at high magnetic fields [8][9][10] , while lanthanum NMR in the 214 family (La 2−x Sr x CuO 4 -LSCO, La 2−x Ba x CuO 4 -LBCO, La 2−x−y Eu y Sr x CuO 4 -LESCO and similar) detects the influence of stripe-related fluctuations [11][12][13][14]16 .…”

Section: Introductionmentioning

confidence: 99%

Cu nuclear magnetic resonance study of charge and spin stripe order inLa1.875Ba0.125CuO4

Pelc¹,

Grafe²,

Gu³

et al. 2017

Phys. Rev. B

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We present a Cu nuclear magnetic/quadrupole resonance study of the charge stripe ordered phase of LBCO, with detection of previously unobserved ('wiped-out') signal. We show that spin-spin and spin-lattice relaxation rates are strongly enhanced in the charge ordered phase, explaining the apparent signal decrease in earlier investigations. The enhancement is caused by magnetic, rather than charge fluctuations, conclusively confirming the long-suspected assumption that spin fluctuations are responsible for the wipeout effect. Observation of the full Cu signal enables insight into the spin and charge dynamics of the stripe-ordered phase, and measurements in external magnetic fields provide information on the nature and suppression of spin fluctuations associated with charge order. We find glassy spin dynamics, in agreement with previous work, and incommensurate static charge order with charge modulation amplitude similar to other cuprate compounds, suggesting that the amplitude of charge stripes is universal in the cuprates.

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Opening a Nodal Gap by Fluctuating Spin-Density-Wave in Lightly Doped La $$_{2-x}$$ 2 - x Sr $$_x$$ x CuO $$_4$$ 4

Kapon¹

2019

Springer Theses

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We investigate whether the spin or charge degrees of freedom are responsible for the nodal gap in underdoped cuprates by performing inelastic neutron scattering and x-ray diffraction measurements on La2−xSrxCuO4, which is on the edge of the antiferromagnetic phase. We found that fluctuating incommensurate spin-density-wave (SDW) with a the bottom part of an hourglass dispersion exists even in this magnetic sample. The strongest component of these fluctuations diminishes at the same temperature where the nodal gap opens. X-ray scattering measurements on the same crystal show no signature of charge-density-wave (CDW). Therefore, we suggest that the nodal gap in the electronic band of this cuprate opens due to fluctuating SDW with no contribution from CDW.

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Competing charge, spin, and superconducting orders in underdopedYBa2Cu3Oy

Cited by 216 publications

References 116 publications

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state

Cu nuclear magnetic resonance study of charge and spin stripe order inLa1.875Ba0.125CuO4

Opening a Nodal Gap by Fluctuating Spin-Density-Wave in Lightly Doped La $$_{2-x}$$ 2 - x Sr $$_x$$ x CuO $$_4$$ 4

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