Spatially correlated incommensurate lattice modulations in an atomically thin high-temperature 
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Poccia, Nicola; Zhao, Shu Yang Frank; Huang, Xiaojing; Yan, Hanfei; Chu, Yong S.; Zhong, Ruidan; Gu, Genda; Mazzoli, Claudio; Watanabe, Kenji; Taniguchi, Takashi; Campi, Gaetano; Vinokur, V. M.; Kim, Philip

doi:10.1103/physrevmaterials.4.114007

Cited by 16 publications

(9 citation statements)

References 48 publications

(45 reference statements)

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“…Therefore, η = 9/ε = 4x + 5y varies in the range 36 < η < 45 and at each integer value of η the system reaches a quasi-commensurate phase at each step of a devil's staircase. We have found that in the BSCCO samples, where the chemical potential is tuned by the concentration of oxygen interstitials, the mismatched XCuO 2 bilayer is tuned by the misfit strain at the quasi-commensurate modulation with η = 43 i.e, ǫ=9/43 = 0.209 in agreement with the recent scanning micro-X-ray diffraction 34 which is the devil's staircase for x = 2 and y = 5, therefore we have 4 × 2 + 5 × 7 = 43 (i.e. a quasicrystal made of 8 insulating lattice units and 35 metallic lattice units).…”

Section: Introductionsupporting

confidence: 87%

“…Spatially correlated incommensurate lattice stripy modulations in Bi 2 Sr 2 CaCu 2 O 8+y superconductor can now be visualized by the scanning submicron X-ray diffraction focusing on the superlattice satellites of the main X-ray reflections [32][33][34] . The results show that, while oxygen concentration and the doping level can change depending on the sample treatments and thermal history, the incommensurate superlattice wavevector is controlled by the misfit strain and it exhibits a remarkable stability.…”

Section: Introductionmentioning

confidence: 99%

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Moir{é}-like superlattice generated van Hove singularities in strained CuO$_2$ double layer

Sboychakov¹,

Kugel²,

Bianconi³

2022

Preprint

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While it is known that the double-layer Bi2Sr2CaCu2O8+y (BSCCO) cuprate superconductor exhibits an incommensurate superlattice (IS), the effect of IS on the electronic structure remains elusive. The interlayer interaction produces a double-peaked van Hove singularity (VHS) in the density of states (called bilayer splitting) which is strongly changed by the incommensurate period of the superlattice controlled by the misfit strain between different atomic layers in BSCCO. Recently the wave vector q = ǫb (where b is the reciprocal lattice vector of the average lattice) of the superlattice in a high-quality single crystal has been measured with high precision [N. Poccia et al., Phys. Rev. Materials 4, 114007 (2020)]. This work reports the calculation of the VHS bilayer splitting in a quasi-commensurate phase with a rational number ǫ = 9/43 for the pure BSCCO crystal. We extend the calculation to the devil's staircase observed in the high entropy perovskite Bi2Sr2Ca1−xYxCu2O8+y (BSCYCO), where the wave vector ǫ = 9/η changes in the range 36 > η > 43 for 1 > x > 0 controlled by the lattice misfit strain. Our results are of high relevance where the chemical potential is tuned in the optimum and overdoped regime where the superconductor to metal transition takes place. The similarity of the complex VHS splitting due to the devil's staircase in mismatched CuO2 bilayer with VHS due to moiré lattice in strained twisted graphene. This makes mismatched CuO2 bilayer quite promising for constructing quantum devices with tuned physical characteristics.

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Section: Introductionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Moir{é}-like superlattice generated van Hove singularities in strained CuO$_2$ double layer

Sboychakov¹,

Kugel²,

Bianconi³

2022

Preprint

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“…at low temperatures seen in recent experiments [46]. The high value of the critical current of the twist junction observed in experiment [46] also indicates that the momentum relaxation is arising from nanoscale inhomogeneities, such as ones that arise from structural supermodulation [60], and not atomic-scale disorder. This is consistent with the atomically sharp interfaces with structural supermodulations observed using transmission electron microscopy in Ref.…”

Section: (T )/Imentioning

confidence: 86%

“…For the more realistic case of weak nanoscale disorder (such as structural supermodulations [60]), with a length scale significantly larger than the unit cell size, the tunneling has a characteristic momentum spread that is smaller than the size of the Brillouin zone. We consider the case where tunneling is not exactly momentum conserving, modeled with a spread of σ in typical momentum differences |k − k |.…”

Section: Effects Of Interface Inhomogeneity On Ic(θ0 T )mentioning

confidence: 99%

Josephson effects in twisted nodal superconductors

Volkov,

Zhao,

Poccia

et al. 2021

Preprint

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Motivated by the recent proposals for unconventional emergent physics in twisted bilayers of nodal superconductors, we study the peculiarities of the Josephson effect at the twisted interface between d-wave superconductors. We demonstrate that for clean interfaces with a twist angle θ0 in the range 0 • < θ0 < 45 • the critical current can exhibit nonmonotonic temperature dependence with a maximum at a nonzero temperature as well as a complex dependence on the twist angle at low temperatures. The former is shown to arise quite generically due to the contributions of the momenta around the gap nodes, which are negative for nonzero twist angles. It is demonstrated that these features reflect the geometry of the Fermi surface and are sensitive to the form of the momentum dependence of the tunneling at the twisted interface. Close to θ0 = 45 • we find that the critical current does not vanish due to Cooper pair cotunneling, which leads to a transition to a time-reversal breaking topological superconducting d + id phase. Weak interface roughness, quasiperiodicity, and inhomogeneity broaden the momentum dependence of the interlayer tunneling leading to a critical current Ic ∼ cos(2θ0) with cos(6θ0) corrections. Furthermore, strong disorder at the interface is demonstrated to suppress the time-reversal breaking superconducting phase near θ0 = 45 • . Last, we provide a comprehensive theoretical analysis of experiments that can reveal the full current-phase relation for twisted superconductors close to θ0 = 45 • . In particular, we demonstrate the emergence of the Fraunhofer interference pattern near θ0 = 45 • , while accounting for realistic sample geometries, and show that its temperature dependence can yield unambiguous evidence of Cooper pair cotunneling, necessary for topological superconductivity.

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“…Figure 1D shows cross-sectional high-angle annular dark field (HAADF) scanning transmission electron microscope (STEM) image of a θ = 46° junction, simultaneously viewing both BSCCO crystals on two different zone axes. Notably, crystalline order is maintained at the interfacial layer with no change to the lattice structure ( 35 ) in the [001] direction between atomic layers (Fig. 1E) or along CuO 2 planes (Fig.…”

Section: Building Twisted Bscco Junctionsmentioning

confidence: 99%

Time-reversal symmetry breaking superconductivity between twisted cuprate superconductors

Zhao,

Cui,

Volkov

et al. 2023

Science

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Twisted interfaces between stacked van der Waals (vdW) cuprate crystals present a platform for engineering superconducting order parameters by adjusting stacking angles. Using a cryogenic assembly technique, we construct twisted vdW Josephson junctions (JJs) at atomically sharp interfaces between Bi 2 Sr 2 CaCu 2 O 8+ x crystals, with quality approaching the limit set by intrinsic JJs. Near 45° twist angle, we observe fractional Shapiro steps and Fraunhofer patterns, consistent with the existence of two degenerate Josephson ground states related by time-reversal symmetry (TRS). By programming the JJ current bias sequence, we controllably break TRS to place the JJ into either of the two ground states, realizing reversible Josephson diodes without external magnetic fields. Our results open a path to engineering topological devices at higher temperatures.

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Spatially correlated incommensurate lattice modulations in an atomically thin high-temperature Bi2.1Sr1.9CaCu2.0O8+

Cited by 16 publications

References 48 publications

Moir{é}-like superlattice generated van Hove singularities in strained CuO$_2$ double layer

Moir{é}-like superlattice generated van Hove singularities in strained CuO$_2$ double layer

Josephson effects in twisted nodal superconductors

Time-reversal symmetry breaking superconductivity between twisted cuprate superconductors

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