Bosonic mode interpretation of novel scanning tunnelling microscopy and related experimental results, within boson–fermion modelling of cuprate high-temperature superconductivity

Wilson, J. A.

doi:10.1080/14786430410001678136

Cited by 18 publications

(12 citation statements)

References 145 publications

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“…As one moves into the OD region, Im along (π, π) becomes purely quadratic (at least up to 100 meV) [105]. Away from the nodes, it has proved difficult to determine the precise form of Im (ω) since the lineshapes are invariably broad and the qp states incoherent, due presumably to a strong dressing or scattering of the charge carriers in this region in k-space [107][108][109]. Kaminski et al showed in fact that the qp states near (π , 0) become incoherent above a certain dopingdependent temperature which coincides with the onset of Tlinear resistivity and is labelled T coh in figure 2 [51].…”

Section: Anisotropic Quasiparticle Scatteringmentioning

confidence: 99%

Phenomenology of the normal state in-plane transport properties of high-T_ccuprates

Hussey

2008

J. Phys.: Condens. Matter

189

217

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In this article, I review progress towards an understanding of the normal state (in-plane) transport properties of high-T c cuprates in the light of recent developments in both spectroscopic and transport measurement techniques. Against a backdrop of mounting evidence for anisotropic single-particle lifetimes in cuprate superconductors, new results have emerged that advocate similar momentum dependence in the transport decay rate (k). In addition, enhancement of the energy scale (up to the bare bandwidth) over which spectroscopic information on the quasiparticle response can be obtained has led to the discovery of new, unforeseen features that, surprisingly, may have a significant bearing on the transport properties at the dc limit. With these two key developments in mind, I consider here whether all the ingredients necessary for a complete phenomenological description of the anomalous normal state transport properties of high-T c cuprates are now in place.

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Section: Anisotropic Quasiparticle Scatteringmentioning

confidence: 99%

Phenomenology of the normal state in-plane transport properties of high-T_ccuprates

Hussey

2008

J. Phys.: Condens. Matter

189

217

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“…The second term (seen by ARPES) has been attributed to scattering off a bosonic mode, though its origin and its relevance to high-T c superconductivity remain subjects of intense debate. 26 Possible candidates include phonons, d-wave pairing fluctuations, spin (large-q) fluctuations and charge (small-q) fluctuations but since all, bar phonons, appear to vanish in heavily overdoped non-superconducting cuprates, 11,27,28 it is difficult to single one out at this stage. Nevertheless, if this bosonic mode is the source of the anisotropic scattering revealed by AMRO, the continuation of its linear T-dependence to very low temperatures implies the presence of a surprisingly low energy scale.…”

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confidence: 99%

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confidence: 99%

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

et al. 2006

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T he metallic state of high-temperature copper-oxide superconductors, characterized by unusual and distinct temperature dependences in the transport properties 1-4 , is markedly different from that of textbook metals. Despite intense theoretical efforts 5-11 , our limited understanding is impaired by our inability to determine experimentally the temperature and momentum dependence of the transport scattering rate. Here, we use a powerful magnetotransport probe to show that the resistivity and the Hall coefficient in highly doped Tl 2 Ba 2 CuO 6+δ originate from two distinct inelastic scattering channels. One channel is due to conventional electronelectron scattering; the other is highly anisotropic, has the same symmetry as the superconducting gap and a magnitude that grows approximately linearly with temperature. The observed form and anisotropy place tight constraints on theories of the metallic state. Moreover, in heavily doped non-superconducting La 2−x Sr x CuO 4 , this anisotropic scattering term is absent 12 , suggesting an intimate connection between the origin of this scattering and superconductivity itself.The in-plane properties of layered metals can sometimes be obtained from measurements of out-of-plane quantities. For example, angular magnetoresistance oscillations (AMRO), which are angular variations in the interlayer resistivity ρ ⊥ induced by rotating a magnetic field H in a polar plane relative to the conducting layers, can provide detailed information on the shape of the in-plane Fermi surface (FS) in layered metals. Here we resolve for the first time, the momentum (k) and energy (ω or T) dependence of the in-plane transport lifetime τ in an overdoped cuprate Tl 2 Ba 2 (Ca 0 )Cu 1 O 6+δ (Tl2201) through advances, both experimental and theoretical, in the AMRO technique. Experimentally, we extend the temperature range of previous AMRO measurements on overdoped Tl2201 13 (with a superconducting transition temperature T c = 15 K) by more than one order of magnitude. Theoretically, we derive a new general analytical expression for the interlayer conductivity σ ⊥ in a tilted H that incorporates basal-plane anisotropy. For T > 4 K, the AMRO can only be explained by inclusion of an anisotropic scattering rate 1/τ whose anisotropy grows with T. Significantly, the anisotropy in 1/τ and its T dependence up to 55 K can quantitatively account for both the robust linear-in-T component to the in-plane resistivity ρ ab and the T-dependent Hall coefficient R H over the same temperature range 14,15 . These anomalous behaviours are not characteristic of a simple Fermi liquid, which is often the starting point for modelling overdoped cuprates. We discuss the consequences of these findings for our understanding of the normal-state transport in cuprates.As described in the Supplementary Information, detailed azimuthal and polar-angle-dependent AMRO data were taken at 4.2 K and 45 T and fitted to the Shockley-Chambers tube integral form of the Boltzmann transport equation, modified for a quasitwo-dimensional (quasi...

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“…Whilst there is a growing body of evidence for saturation and a quadratic frequency dependence in cuprates, particularly along the nodal direction, there is mounting evidence too for some form of strong bosonic feature in the anti-nodal regions near the Brillouin zone boundaries, 49,50,51 the origin of which remains controversial. 52,53,54 This contribution to Γ(φ,T ,ω) should also be explored within the present phenomenology for completeness. What we would argue however is that since scattering is already so intense at (π, 0), the true, 'ideal' form of Γ(ω) (and ImΣ(ω)) in this region of the Brillouin zone inevitably will be significantly renormalized due to the overarching presence of Γ MIR , masking the inherent nature of Γ(ω) in many of the physical properties that are measured.…”

Section: Discussionmentioning

confidence: 98%

Optical response of high-Tccuprates: Possible role of scattering rate saturation and in-plane anisotropy

2006

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We present a generalized Drude analysis of the in-plane optical conductivity ab ͑T , ͒ in cuprates taking into account the effects of in-plane anisotropy. A simple ansatz for the scattering rate ⌫͑T , ͒, that includes anisotropy, a quadratic frequency dependence, and saturation at the Mott-Ioffe-Regel limit, is able to reproduce recent normal state data on an optimally doped cuprate over a wide frequency range. We highlight the potential importance of including anisotropy in the full expression for ab ͑T , ͒ and challenge previous determinations of ⌫͑͒ in which anisotropy was neglected and ⌫͑͒ was indicated to be strictly linear in frequency over a wide frequency range. Possible implications of our findings for understanding thermodynamic properties and self-energy effects in high-T c cuprates will also be discussed.

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Bosonic mode interpretation of novel scanning tunnelling microscopy and related experimental results, within boson–fermion modelling of cuprate high-temperature superconductivity

Cited by 18 publications

References 145 publications

Phenomenology of the normal state in-plane transport properties of high-T_ccuprates

Phenomenology of the normal state in-plane transport properties of high-T_ccuprates

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

Optical response of high-Tccuprates: Possible role of scattering rate saturation and in-plane anisotropy

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Bosonic mode interpretation of novel scanning tunnelling microscopy and related experimental results, within boson–fermion modelling of cuprate high-temperature superconductivity

Cited by 18 publications

References 145 publications

Phenomenology of the normal state in-plane transport properties of high-Tccuprates

Phenomenology of the normal state in-plane transport properties of high-Tccuprates

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

Optical response of high-Tccuprates: Possible role of scattering rate saturation and in-plane anisotropy

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Product

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Phenomenology of the normal state in-plane transport properties of high-T_ccuprates

Phenomenology of the normal state in-plane transport properties of high-T_ccuprates