Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mtext>YBa</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mtext>Cu</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mrow><mml:mn>6</mml:mn><mml:mo>+</mml:mo><mml:mi>δ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Maharaj, Akash V.; Zhang, Yi; Ramshaw, B. J.; Kivelson, Steven A.

doi:10.1103/physrevb.93.094503

Cited by 20 publications

(25 citation statements)

References 68 publications

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“…4B). Similarly, we find no 3D CDW up to 30 T, which overlaps the range of field where quantum oscillations are observed (23). Altogether, we establish that 3D CDW in YBCO is robustly unidirectional; the 3D CDW is "stripe-like" with an ordering vector parallel to the Cu-O chain direction.…”

Section: Significancesupporting

confidence: 61%

“…Because the CDW scattering intensity is determined by two compensating factors, the CDW amplitude and its volume fraction, the integrated intensity of the 2D CDW does not necessarily decrease (13,14). In the context of other high-field experiments, note that quantum oscillations (QOs) have been observed (23,28) in ortho-II crystals (with Tc ∼ 58 to 60 K) in fields above 18 to 22 T, ∼ H 3D . Thus, it seems that H 3D is always less than or equal to the lowest fields at which QOs occur, and the QOs coexist with 3D CDW order, although it is presently unclear whether the QOs arise in the portions with 2D or 3D CDW.…”

Section: Discussionmentioning

confidence: 99%

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Ideal charge-density-wave order in the high-field state of superconducting YBCO

Jang

Lee

Nojiri

et al. 2016

Proc. Natl. Acad. Sci. U.S.A.

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122

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The existence of charge-density-wave (CDW) correlations in cuprate superconductors has now been established. However, the nature of the CDW ground state has remained uncertain because disorder and the presence of superconductivity typically limit the CDW correlation lengths to only a dozen unit cells or less. Here we explore the field-induced 3D CDW correlations in extremely pure detwinned crystals of YBa 2 Cu 3 Ox (YBCO) ortho-II and ortho-VIII at magnetic fields in excess of the resistive upper critical field (H c2 ) where superconductivity is heavily suppressed. We observe that the 3D CDW is unidirectional and possesses a long in-plane correlation length as well as significant correlations between neighboring CuO 2 planes. It is significant that we observe only a single sharply defined transition at a critical field proportional to H c2 , given that the field range used in this investigation overlaps with other high-field experiments including quantum oscillation measurements. The correlation volume is at least two to three orders of magnitude larger than that of the zero-field CDW. This is by far the largest CDW correlation volume observed in any cuprate crystal and so is presumably representative of the high-field ground state of an "ideal" disorder-free cuprate.high-temperature superconductors | charge-density-wave order | high magnetic field X-ray scattering | vestigial nematic order | competing order C harge-density-wave (CDW) order has been found to exist universally in the hole-doped superconducting cuprates (1-18), and the common characteristics at zero magnetic field include bidirectionality, quasi-2D and short-ranged correlations (7-17). More specifically, the CDW diffraction patterns are found in both directions of Cu-O bonds in the CuO2 plane (Fig. 1A), and the CDW correlation lengths parallel and perpendicular to the planes (i.e., along the a-or b-axes and the c axis) are less than ∼ 20 and ∼ 1 lattice constants, respectively (7-16), corresponding to a correlation volume of order 10 2 unit cells (UCs). Thus, the properties of the quasi-2D CDW are likely strongly affected by disorder and only indirectly represent the true nature of the underlying CDW correlations. Indeed, X-ray scattering shows that the onset of the quasi-2D order is gradual without a sharp transition (7-17), consistent with the influence of quenched disorder on an incommensurate CDW (19-21). Furthermore, whereas Y-based and La-based cuprates exhibit a clear competition between CDW and superconductivity (7,8,(12)(13)(14)(15), such competition is not apparent in the families of Bi-based and Hg-based cuprate compounds (9-11)-a discrepancy that probably reflects different degrees of quenched disorder among cuprate families.Recently, a CDW with significantly longer correlation lengths was observed in superconducting YBCO (Fig. 1B) via X-ray scattering at high magnetic fields (13,14). This reveals the character (i.e., 3D) of the high-field charge ordering previously inferred by other measurements (3-6). At a magnetic field of ∼ 30 T, i...

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Section: Significancesupporting

confidence: 61%

Section: Discussionmentioning

confidence: 99%

Ideal charge-density-wave order in the high-field state of superconducting YBCO

Jang

Lee

Nojiri

et al. 2016

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

122

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“…59 followed by uni-axial CDW reconstruction with Q = (δ,0,0), and where δ ≈ 0.3 according to X-ray scattering measurements. 9 Multiple Fermi surface sections, between which magnetic breakdown is possible, 17,24,39,40 are present after reconstruction: for clarity we color only one section resistivity is not a linear function of the interlayer hopping parameters: combining all three symmetry warpings onto a single section of Fermi surface cannot reproduce the data.…”

Section: (See Supplementary Information For Details)mentioning

confidence: 99%

Broken rotational symmetry on the Fermi surface of a high-Tc superconductor

et al. 2017

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Broken fourfold rotational (C4) symmetry is observed in the experimental properties of several classes of unconventional superconductors. It has been proposed that this symmetry breaking is important for superconducting pairing in these materials, but in the high-Tc cuprates this broken symmetry has never been observed on the Fermi surface. Here we report a pronounced anisotropy in the angle dependence of the interlayer magnetoresistance of the underdoped high transition temperature (high-Tc) superconductor YBa2Cu3O6.58, directly revealing broken C4 symmetry on the Fermi surface. Moreover, we demonstrate that this Fermi surface has C2 symmetry of the type produced by a uniaxial or anisotropic density-wave phase. This establishes the central role of C4 symmetry breaking in the Fermi surface reconstruction of YBa2Cu3O6+δ , and suggests a striking degree of universality among unconventional superconductors.

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“…In the large-surface scenario, one has to resort to the CuO 2 bilayer structure of YBCO. The multiple peaks develop due to the interlayer tunneling and the induced magnetic breakdown orbits [39][40][41][42][43]. On the other hand, in the smallpocket scenario we will show that the bilayer structure is not necessary to explain the multiple peaks.…”

mentioning

confidence: 99%

“…The t δ term introduces an inplane anisotropy and breaks the bilayer mirror symmetry, which is necessary for the emergence of magnetic breakdown orbits [43]. As shown in Fig.…”

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confidence: 99%

Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates

Zhang¹,

Mei²

2016

EPL

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-The Fermi surface in underdoped cuprates is reconstructed by the charge density wave (CDW) order in the pseudogap phase. Theoretical proposals can be divided into two classes: one assumes the underlying Fermi surface without CDW as a conventional large surface; the other assumes small hole-like Fermi pockets. In both scenarios, we theoretically study the quantum oscillation and find three evenly spaced peaks in the oscillation spectra. The central dominant peak is induced by the CDW order. Its effective mass is strongly enhanced as the CDW vanishes in agreement with experiments. But the two scenarios have different understandings of the subdominant satellite peaks. In the large-surface scenario they are induced by the interlayer tunneling between the bilayer CuO2 planes. Their effective masses are also enhanced with descreasing CDW. In the small-pocket scenario one of the subdominant peaks comes from the original small Fermi pockets of the pseudogap state. Its effective mass is nearly independent of the CDW strength and increases monotonically with the doping. We propose future quantum oscillation experiments to test these different predictions and thus to clarify the underlying Fermi surface structure of the pseudogap state.Introduction. -The nature of the pseudogap phase is the holy grail in the study of cuprate superconductors [1,2]. The observations of quantum oscillation (QO) and charge density wave (CDW) in the pseudogap phase in underdoped YBa 2 Cu 3 O 6+δ (YBCO) [3][4][5][6] and HgBa 2 CuO 4+δ (Hg1201) [7,8] brought much excitement in the community. Both QO and long-range CDW order show up in the same doping range 0.08 < x < 0.16 at low temperature when the superconductivity is suppressed in high magnetic fields [4,[9][10][11][12][13]. In the same regime the Hall and Seebeck coefficients change sign from positive to negative [14][15][16][17][18] showing that the d.c. charge transport is dominated by an electron-like Fermi pocket.

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Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model forYBa2Cu3O6+δ

Cited by 20 publications

References 68 publications

Ideal charge-density-wave order in the high-field state of superconducting YBCO

Ideal charge-density-wave order in the high-field state of superconducting YBCO

Broken rotational symmetry on the Fermi surface of a high-Tc superconductor

Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates

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