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Wuyts, B.; Moshchalkov, Victor; Bruynseraede, Y.

doi:10.1103/physrevb.53.9418

Cited by 177 publications

(177 citation statements)

References 70 publications

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“…Nothing fancier is demanded by the data, at least in its present state. Moreover, the transport properties as well as the thermodynamic properties at di erent x can be collapsed to scaling functions with the same T p (x) as a parameter [291].…”

Section: Some Basic Features Of the High-t C Materialsmentioning

confidence: 99%

Singular or non-Fermi liquids

2002

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Section: Some Basic Features Of the High-t C Materialsmentioning

confidence: 99%

Singular or non-Fermi liquids

2002

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“…Surprisingly, the entire momentum and temperature dependence of the normalized pseudogap Δ(φ)/Δ(0) only depends on T /T * (x), whereas the T c of the sample does not play a role. We note that scaling with T * has been observed for susceptibility and transport data [11][12][13] .…”

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confidence: 99%

Evolution of the pseudogap from Fermi arcs to the nodal liquid

et al. 2006

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T he response of a material to external stimuli depends on its low-energy excitations. In conventional metals, these excitations are electrons on the Fermi surface-a contour in momentum (k) space that encloses all of the occupied states for non-interacting electrons. The pseudogap phase in the copper oxide superconductors, however, is a most unusual state of matter 1 . It is metallic, but part of its Fermi surface is 'gapped out' (refs 2,3); low-energy electronic excitations occupy disconnected segments known as Fermi arcs 4 . Two main interpretations of its origin have been proposed: either the pseudogap is a precursor to superconductivity 5 , or it arises from another order competing with superconductivity 6 . Using angle-resolved photoemission spectroscopy, we show that the anisotropy of the pseudogap in k-space and the resulting arcs depend only on the ratio T/ T * (x), where T * (x) is the temperature below which the pseudogap first develops at a given hole doping x. The arcs collapse linearly with T/ T * (x) and extrapolate to zero extent as T → 0. This suggests that the T = 0 pseudogap state is a nodal liquid-a strange metallic state whose gapless excitations exist only at points in k-space, just as in a d-wave superconducting state.In Fig. 1a,b we show data for a slightly underdoped sample of Bi 2 Sr 2 CaCu 2 O 8+δ (Bi2212) with a transition temperature T c = 90 K, for the superconducting state at 40 K, and the pseudogap phase at 140 K. The energy distribution curves (EDCs) at the Fermi momentum k F , which have been symmetrized 4 to remove the effects of the Fermi function on the spectra. k F is determined by the minimum separation between the peaks in the symmetrized spectra along each momentum cut. Fifteen momentum cuts were measured, as shown in Fig. 1e. Details of the symmetrization procedure are explained in the Methods section. The difference between the spectra in the two states is apparent: sharp spectral peaks are present in the superconducting state, indicating longlived excitations, and the superconducting gap vanishes only at points in the Brillouin zone, known as nodes; on the other hand, the spectra in the pseudogap phase are much broader, indicating short-lived excitations. Although a pseudogap is seen in cuts 1-7, substantial parts of the Fermi surface, cuts 8-15, show spectra peaked at the Fermi energy, indicating a Fermi arc of gapless excitations.The gap size can be estimated as half the peak-to-peak separation in energy. A more quantitative estimate is obtained by using a simple phenomenological function to describe the spectral lineshapes 7

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“…42,43 Above the quantum critical point, in a range of doping associated with marginal Fermi liq-uid behavior, the in-plane resistivity is known to vary linearly with T over a wide range of temperatures. [44][45][46][47][48][49][50] In the Fermi liquid region the low temperature resistivity varies as T 2 . The resistivity increases as the doping decreases from the Fermi liquid into the pseudogap region.…”

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Role of the van Hove singularity in the quantum criticality of the Hubbard model

et al. 2011

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A quantum critical point is found in the phase diagram of the two-dimensional Hubbard model [Vidhyadhiraja et al., Phys. Rev. Lett. 102, 206407 (2009)]. It is due to the vanishing of the critical temperature associated with a phase separation transition, and it separates the non-Fermi liquid region from the Fermi liquid. Near the quantum critical point, the pairing is enhanced since the real part of the bare d-wave pairing susceptibility exhibits an algebraic divergence with decreasing temperature, replacing the logarithmic divergence found in a Fermi liquid [Yang et al., Phys. Rev. Lett. 106, 047004 (2011)]. In this paper we explore the single-particle and transport properties near the quantum critical point using high quality estimates of the self energy obtained by direct analytic continuation of the self energy from Continuous-Time Quantum Monte Carlo. We focus mainly on a van Hove singularity coming from the relatively flat dispersion that crosses the Fermi level near the quantum critical filling. The flat part of the dispersion orthogonal to the antinodal direction remains pinned near the Fermi level for a range of doping that increases when we include a negative next-near-neighbor hopping t ′ in the model. For comparison, we calculate the bare d-wave pairing susceptibility for non-interacting models with the usual two-dimensional tight binding dispersion and a hypothetical quartic dispersion. We find that neither model yields a van Hove singularity that completely describes the critical algebraic behavior of the bare d-wave pairing susceptibility found in the numerical data. The resistivity, thermal conductivity, thermopower, and the Wiedemann-Franz Law are examined in the Fermi liquid, marginal Fermi liquid, and pseudo-gap doping regions. A negative next-near-neighbor hopping t ′ increases the doping region with marginal Fermi liquid character. Both T and negative t ′ are relevant variables for the quantum critical point, and both the transport and the displacement of the van Hove singularity with filling suggest that they are qualitatively similar in their effect.

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Resistivity and Hall effect of metallic oxygen-deficientYBa2Cu3

Cited by 177 publications

References 70 publications

Singular or non-Fermi liquids

Singular or non-Fermi liquids

Evolution of the pseudogap from Fermi arcs to the nodal liquid

Role of the van Hove singularity in the quantum criticality of the Hubbard model

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