Quantum theory of local perturbation of the charge-density wave by an impurity: Friedel oscillations

Tüttő, I.; Zawadowski, A.

doi:10.1103/physrevb.32.2449

Cited by 110 publications

(63 citation statements)

References 34 publications

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“…Although the interaction between CDW and impurities has been studied for more than two decades in quasi-1D systems, it is far from being correctly understood. In particular, the presence of Friedel oscillations (FOs) around the defect and their influence on the CDW order, though suggested theoretically [2], has not received experimental confirmation so far. Recently, a new x-ray diffraction effect resulting from the interference between the CDW displacive contribution and the disorder contribution has been able to bring some valuable information and a thorough insight into the local description of the CDW-defect interaction [3].…”

Section: Introductionmentioning

confidence: 99%

X-ray diffraction from pinned charge density waves

1999

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Abstract. We present an x-ray study of doped charge density waves systems. When a 2k f -charge density wave is strongly pinned to impurities, an interference effect gives rise to an asymmetry between the intensities of the +2k f and −2k f satellite reflections. Moreover, profile asymmetry of the satellite reflections indicates the existence of Friedel oscillations (FOs) around the defects. We have studied these effects in V-and W-doped blue bronzes. A syncrotron radiation study of the V-doped blue bronze clearly reveals the presence of FO around the V atoms.

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Section: Introductionmentioning

confidence: 99%

X-ray diffraction from pinned charge density waves

1999

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“…17 In their model only backscattering with momentum transfer Q is taken into account. In principle, we cover both forward and backward scattering using the boundary conditions discussed in Sec.…”

Section: A Single Impurity Pinningmentioning

confidence: 99%

Mesoscopic charge-density-wave junctions

Visscher

Bauer

1996

Phys. Rev. B

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We investigate theoretically charge-density waves ͑CDW's͒ in mesoscopic heterostructures for the configuration where the one-dimensional chains are oriented normal to the interfaces. Based on Bogoliubov-de Gennes equations and suitable boundary conditions, ground state properties of phase coherent CDW systems are calculated in the mean-field approximation. It is shown that in a charge-density-wave/normal-metal/chargedensity-wave junction the CDW condensates couple through the normal metal region by means of Friedel oscillations. Geometrical resonance effects are predicted. We relate the phase-dependent energy of the junction to a momentum current, carried by electron-hole pairs. The effects of pinning potentials at the interfaces are also considered. Finally, we discuss the analogies with superconductor and ferromagnet junctions. ͓S0163-1829͑96͒07924-6͔

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“…A natural question is whether the effect is sensitive to the uniaxial nature of the modulation in high fields [2,13] or to a possible d-wave symmetry of the intra-unit-cell form factor [59,60] in high fields. Theoretically, bound states have been found, under certain conditions, in models of one-dimensional CDW [61,62] and in the d-density-wave state [63][64][65][66][67][68], but they do not occur at E F (note that they only need to have a finite weight at E F to contribute to the Knight shift). Also, the possible presence of a Dirac cone in the band structure could provide clues on the reconstructed Fermi-surface in high fields.…”

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confidence: 99%

Quasiparticle Scattering off Defects and Possible Bound States in Charge-Ordered YBa2Cu3Oy
Zhou
¹
,
Hirata
²
,
Wu
³

et al. 2017
Phys. Rev. Lett.
11
1
33
1
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Observing how electronic states in solids react to a local symmetry breaking provides insight into their microscopic nature. A striking example is the formation of bound states when quasiparticles are scattered off defects. This is known to occur, under specific circumstances, in some metals and superconductors but not, in general, in the charge-density-wave (CDW) state. Here, we report the unforeseen observation of bound states when a magnetic field quenches superconductivity and induces long-range CDW order in YBa2Cu3Oy. Bound states indeed produce an inhomogeneous pattern of the local density of states N (EF ) that leads to a skewed distribution of Knight shifts which is detected here through an asymmetric profile of 17 O NMR lines. We argue that the effect arises most likely from scattering off defects in the CDW state, which provides a novel case of disorder-induced bound states in a condensed-matter system and an insightful window into charge ordering in the cuprates.Recent experiments in high-T c copper-oxides at moderate doping levels have led to a consensus regarding the presence of static, but essentially short-range, spatial modulations of the charge density that appear far above the critical temperature T c and compete with superconductivity below T c [1, 3,[3][4][5][6][7][8][9][10][11][12]. As a result, the debate has mainly focused on this "incipient" charge-density-wave (CDW) in zero magnetic field. Somewhat less attention has been paid to another CDW order that also coexists and competes with superconductivity but is present at lower temperatures, only in high magnetic fields, and has been detected only in YBa 2 Cu 3 O y (YBCO) so far, by nuclear magnetic resonance (NMR) [1,13] and more recently by X-ray diffraction [2,15]. This CDW develops long-range three-dimensional (3D) correlations above a critical field (also detected in sound velocity [17] and thermal conductivity measurements [18]). In principle, the long-range coherence of the high-field CDW makes it a unique playground for investigating the nature of CDW order in cuprates and its interplay with superconductivity [19]. However, since its observation requires high fields, experimental characterization of this phase has remained limited. This evidently prompts for further high field experiments in YBCO.Here, we report that a spatial distribution of 17 O Knight shift values develops alongside with the high-field CDW in YBCO. After discarding broadening by the vortex lattice or magnetic order, we explain the effect by an enhancement of N (E F ), the local density-of-states (LDOS) at the Fermi energy E F , due to the formation of quasiparticle bound states as observed around defects in the superconducting state of cuprates [5,[20][21][22][23][25][26][27]. This unforeseen observation raises fundamental questions on the electronic band structure and the nature of defects in the CDW state.17 O-enriched untwinned single crystals of YBa 2 Cu 3 O y were prepared with y nominal = 6.47 (ortho-II oxygen ordering, hereafter O-II), 6.56 (O-II), 6.68 (O...

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Quantum theory of local perturbation of the charge-density wave by an impurity: Friedel oscillations

Cited by 110 publications

References 34 publications

X-ray diffraction from pinned charge density waves

X-ray diffraction from pinned charge density waves

Mesoscopic charge-density-wave junctions

Quasiparticle Scattering off Defects and Possible Bound States in Charge-Ordered YBa2Cu3Oy
Zhou
¹
,
Hirata
²
,
Wu
³

et al. 2017
Phys. Rev. Lett.
11
1
33
1
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Quantum theory of local perturbation of the charge-density wave by an impurity: Friedel oscillations

Cited by 110 publications

References 34 publications

X-ray diffraction from pinned charge density waves

X-ray diffraction from pinned charge density waves

Mesoscopic charge-density-wave junctions

Quasiparticle Scattering off Defects and Possible Bound States in Charge-Ordered YBa2Cu3OyZhou1, Hirata2, Wu3 et al. 2017Phys. Rev. Lett.111331View full textAdd to dashboardCite

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Quasiparticle Scattering off Defects and Possible Bound States in Charge-Ordered YBa2Cu3Oy
Zhou
¹
,
Hirata
²
,
Wu
³

et al. 2017
Phys. Rev. Lett.
11
1
33
1
View full text Add to dashboard Cite