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Matthey, Daniel; Gariglio, Stefano; Giovannini, B.; Triscone, Jean‐Marc

doi:10.1103/physrevb.64.024513

Cited by 25 publications

(25 citation statements)

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“…Phase correlations above T c grow rapidely in the underdoped regime following the T φ line, an have a similar doping dependence as Nernst effect results [18]. The gradient specific heat from S 1 disappears more rapidely like in the Hall effect [10]. Discussion: amplitude and phase fluctuations are the key for understanding the pseudogap regime of underdoped high temperature superconductors.…”

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confidence: 80%

“…b) Hall effect measurements [10] in underdoped GdBa 2 Cu 3 O 7−x show a characteristic temperature T ′ between T c and T * , at which the temperature dependence of cot(Θ H ) deviates from T 2 and the Hall coefficient has a peak. A possible explanation consists in considering vortex excitations as scattering centers modifying the Hall angle Θ H and Hall coefficient, which would again suggest identifying T ′ with our T φ below which correlated vlatex ortices exist.…”

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confidence: 99%

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Thermodynamics and Phase Diagram of High Temperature Superconductors

Curty

Beck

2003

Phys. Rev. Lett.

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Thermodynamic quantities are derived for superconducting and pseudogap regimes by taking into account both amplitude and phase fluctuations of the pairing field. In the normal (pseudogap) state of the underdoped cuprates, two domains have to be distinguished: near the superconducting region, phase correlations are important up to the temperature T φ . Above T φ , the pseudogap region is only determined by amplitudes, and phases are uncorrelated. Our calculations show excellent quantitative agreement with specific heat and magnetic susceptibility experiments on cuprates. We find that the mean field temperature T0 has a similar doping dependence as the pseudogap temperature T * , whereas the pseudogap energy scale is given by the average amplitude above Tc.One of the most intriguing problems in high temperature superconductivity is the presence of a region above the critical temperature T c and below a temperature T * where observable quantities deviate from Fermi liquid behaviour. This region is called pseudogap region [1, 2] because it contains effects similar to superconductivity like a partial suppression of electronic density of states.The origin of such a pseudogap above T c is unclear. There are four major approaches concerning its theoretical understanding: the first is based on the formation of incoherent Cooper pairs above T c . Phase order [3] or Bose condensation [4] would then establish superconductivity at T c . The second assumes that the pseudogap is induced by anti-ferromagnetic fluctuations [5]. The third approach is based on spin-charge separation where spins bind together to form spin-singlets and the energy needed to split them apart leads to the formation of a "spin-gap" [6]. The fourth assumes the existence of a quantum critical point [7] but the latter has never been observed. However, these approaches seem to be unable to describe specific heat and magnetic susceptibility.The main aim of this article is to show that various experimental observations can indeed be interpreted in terms of fluctuations of the pairing field ψ = |ψ|e iφ , and that two temperature regions have to be distinguished (see Fig. 5): for a relatively small temperature interval T c < T < T φ the phase of ψ is still correlated in space over some correlation length ξ (the Kosterlitz-Thouless correlation length in 2D). Thus, in this regime, observables are governed by correlated phase fluctuations described by the XY-model. For T φ < T < T * , phases of ψ are essentially uncorrelated (ξ is on the order of the lattice constant), but |ψ| is still fluctuating and non-zero, signaling local pair fluctuations. This explains the wide hump seen in specific heat experiments [1], the depression of the spin susceptibility [8] and the persistence of the pseudogap for T < T * .Our method has a major difference with respect to the Emery and Kivelson phase fluctuations scenario [3] of the pseudogap regime: we show that phase fluctuations influence the pseudogap only up to a temperature T φ which is much smaller than T * . Above T φ , obs...

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confidence: 80%

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confidence: 99%

Thermodynamics and Phase Diagram of High Temperature Superconductors

Curty

Beck

2003

Phys. Rev. Lett.

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“…Many measurements of the Hall coefficient R H in various high T C cuprates have been published [44,45]. The main results are the following:…”

Section: Hall Coefficientmentioning

confidence: 98%

Superconductivity and the Van Hove Scenario

Bok

Bouvier

2012

J Supercond Nov Magn

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We give a review of the role of the Van Hove singularities in superconductivity. Van Hove singularities (VHs) are a general feature of low-dimensional systems. They appear as divergences of the electronic density of states (DOS). Jacques Friedel and Jacques Labbé were the first to propose this scenario for the A15 compounds. In NbTi, for example, Nb chains give a quasi-1D electronic structure for the d-band, leading to a VHs. They developed this model and explained the high T C and the many structural transformations occurring in these compounds. This model was later applied by Jacques Labbé and Julien Bok to the cuprates and developed by Jacqueline Bouvier and Julien Bok. The high T C superconductors cuprates are quasibidimensional (2D) and thus lead to the existence of Van Hove singularities in the band structure. The presence of VHs near the Fermi level in the cuprates is now well established. In this context we show that many physical properties of these materials can be explained, in particular the high critical temperature T C , the anomalous isotope effect, the superconducting gap and its anisotropy, and the marginal Fermi liquid properties, they studied these properties in the optimum and overdoped regime. These compounds present a topological transition for a critical hole doping p ≈ 0.21 hole per CuO 2 plane.

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“…In the model, however, the twodimensional spins appear only in the correlation function, not as entities located at definite sites. This picture, when proper temperature dependence is included in D s ͑T͒, could lead to a second crossover temperature within the pseudogap state, perhaps seen in Nernst effect [32], conductivity [33], and Hall effect measurements [34], the temperature at which local phase coherence is established between neighboring spins, thus allowing the formation of fluctuating vortices.…”

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Density of States in High-TcSuperconductor Vortices

Berthod

Giovannini

2001

Phys. Rev. Lett.

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We calculated the electronic structure of a vortex in a pseudogapped superconductor within a model featuring strong correlations. With increasing strength of the correlations, the BCS core states are suppressed and the spectra inside and outside the core become similar. If the correlations are short range, we find new core states in agreement with the observations in YBa 2 Cu 3 O 72d and Bi 2 Sr 2 CaCu 2 O 81d . Our results point to a common phenomenology for these two systems and indicate that normal-state correlations survive below T c without taking part in the overall phase coherence.

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Hall effect in underdopedGdBa2Cu3O7−

Cited by 25 publications

References 35 publications

Thermodynamics and Phase Diagram of High Temperature Superconductors

Thermodynamics and Phase Diagram of High Temperature Superconductors

Superconductivity and the Van Hove Scenario

Density of States in High-TcSuperconductor Vortices

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