Quasiparticle interference and superconducting gap in Ca2−xNaxCuO2Cl2

Hanaguri, T.; Kohsaka, Y.; Davis, J. C.; Lupien, Christian; Yamada, Ikuya; Azuma, Masaki; Takano, Mikio; Ohishi, Kazuki; Ono, Masahiro; Takagi, H.

doi:10.1038/nphys753

Cited by 182 publications

(285 citation statements)

References 42 publications

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“…1,8,9 STS has revealed that the cuprates have a spatially inhomogeneous electronic structure, including modulations in the LDOS and superconducting gap magnitude. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] In the d-wave superconducting phase, the LDOS modulations can arise from quasiparticle interference (QPI), due to the scattering of wave-like quasiparticles off impurities. 12,15,22,[25][26][27] The wavevectors of the modulations can be determined from the Fourier transform of the LDOS.…”

Section: Introductionmentioning

confidence: 99%

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Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates

2012

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Scanning tunneling spectroscopy (STS) is a useful probe for studying the cuprates in the superconducting and pseudogap states. Here we present a theoretical study of the Z-map, defined as the ratio of the local density of states at positive and negative bias energies, which frequently is used to analyze STS data. We show how the evolution of the quasiparticle interference peaks in the Fourier transform Z-map can be understood by considering different types of impurity scatterers, as well as particle-hole asymmetry in the underlying bandstructure. We also explore the effects of density wave orders, and show that the Fourier transform Z-map may be used to both detect and distinguish between them.

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Section: Introductionmentioning

confidence: 99%

“…20,22 By definition, the magnitude of the Z-map clearly carries information on particle-hole asymmetry in the LDOS. Due to superconducting coherence factors, the Z-map in fact enhances the intensity of LDOS modulations from QPI, as discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates

2012

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“…These observations open the way for powerful modern SI-STM techniques [13][14][15][16][17][18] to be applied to many-body states not just in Sr 3 Ru 2 O 7 , but also to a much wider class of strongly correlated heavy-fermion systems, including those that are spatially inhomogeneous. With regard to the problem of electronic nematicity in Sr 3 Ru 2 O 7 , studies using the techniques introduced here but at high magnetic fields will be crucial.…”

mentioning

confidence: 99%

“…This is because the spatial modulations in g (r,V ) due to interference of quasiparticles scattered by atomic-scale impurities are detectable in g (q,V ), the Fourier transform of g (r,V ). The k-space states undergoing the scattering interference have been deduced for both quasi-free electrons of noble metals 11,12 and the weakly renormalized electronic states of superconducting cuprates [13][14][15][16][17][18] in a process dubbed quasiparticle interference (QPI) imaging.…”

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confidence: 99%

Heavy d-electron quasiparticle interference and real-space electronic structure of Sr3Ru2O7

et al. 2009

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The intriguing idea that strongly interacting electrons can generate spatially inhomogeneous electronic liquid-crystalline phases is over a decade old 1-5 , but these systems still represent an unexplored frontier of condensed-matter physics. One reason is that visualization of the many-body quantum states generated by the strong interactions, and of the resulting electronic phases, has not been achieved. Soft condensed-matter physics was transformed by microscopies that enabled imaging of real-space structures and patterns. A candidate technique for obtaining equivalent data in the purely electronic systems is spectroscopic imaging scanning tunnelling microscopy (SI-STM). The core challenge is to detect the tenuous but 'heavy' momentum (k)-space components of the many-body electronic state simultaneously with its realspace constituents. Sr 3 Ru 2 O 7 provides a particularly exciting opportunity to address these issues. It possesses a very strongly renormalized 'heavy' d-electron Fermi liquid 6,7 and exhibits a field-induced transition to an electronic liquidcrystalline phase 8,9 . Finally, as a layered compound, it can be cleaved to present an excellent surface for SI-STM.The electronic structure of Sr 3 Ru 2 O 7 is complicated owing to both its bilayer nature and the in-plane √ 2 × √ 2 crystalline reconstruction caused by rotations of the RuO 6 octahedra ( Fig. 1, inset). Nevertheless, photoemission studies reveal at least five Fermi-surface pockets 6 , in agreement with de Haas-van Alphen data 7 . The most striking result of these k-space spectroscopic measurements is that the intense electron-electron interactions cause bands that are 10-30 times flatter than they would be if quasi-free electrons existed in the system. Thus, although its metallic state is a Fermi liquid, Sr 3 Ru 2 O 7 is one of the most strongly renormalized heavy d-electron compounds known, and consequently, the spectral weight of k-space excitations should be markedly reduced. This system undergoes a series of metamagnetic transitions in fields between 7.5 and 8.1 T applied parallel to the crystallographic c axis. These transitions enclose an H-T plane region within which a large resistivity enhancement occurs 8 . Application of further in-plane fields produces an 'easy' transport direction for which this enhanced resistivity disappears 10 . Thus, electronic transport with 180 • rotational (C 2 ) symmetry exists within this narrow H-T region, whereas the surrounding regions exhibit transport with the expected 90 • rotational (C 4 ) symmetry. These are the transport characteristics expected of a field-induced electronic nematic 10 -in this case, one generated from a manybody state of Ru d-electrons comprising both r-space and k-space spectral contributions. SI-STM is potentially an ideal technique for studying such systems because simultaneous studies of r-space and k-space electronic structure can be carried out. It was pioneered in studies of simple quasi-free-electron systems 11,12 but, at least conceptually, might provide a route for i...

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“…Various experiments support the latter scenario [1,2,3,4,5,6]. Angle resolved photoemission spectroscopy (ARPES) [3,4] reveals that the energy gap which opens at T c exhibits point nodes along the diagonal of the Cu-O bond, consistent with dominant d-wave superconductivity.…”

Section: Introductionmentioning

confidence: 83%

Superfluid Density and Angular Dependence of the Energy Gap in Optimally Doped (BiPb)2(SrLa)2CuO6+δ

Strässle

Khasanov

Kondo

et al. 2008

J Supercond Nov Magn

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We present a muon-spin rotation study of the optimally doped cuprate superconductor (BiPb) 2 (SrLa) 2 CuO 6+δ . The measured magnetic field dependence of the in-plane magnetic penetration λ ab suggests superconductivity with a dominant d-wave order parameter. The comparison of the temperature dependence of λ ab with calculations, assuming the angular gap symmetry as obtained from photoemission measurements, is consistent with a partial suppression of the quasi-particle weight towards the anti-nodal region of the Fermi surface. This suggests that the superconducting and the pseudogap state are dominated by different parts of the Fermi surface.

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Quasiparticle interference and superconducting gap in Ca2−xNaxCuO2Cl2

Cited by 182 publications

References 42 publications

Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates

Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates

Heavy d-electron quasiparticle interference and real-space electronic structure of Sr3Ru2O7

Superfluid Density and Angular Dependence of the Energy Gap in Optimally Doped (BiPb)2(SrLa)2CuO6+δ

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