Lower Critical Field and Superfluid Density of Highly Underdoped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow><mml:mi>YBa</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi>Cu</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>6</mml:mn><mml:mo>+</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math>Single Crystals

Liang, Ruixing; Bonn, D. A.; Hardy, W. N.; Broun, D. M.

doi:10.1103/physrevlett.94.117001

Cited by 86 publications

(96 citation statements)

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“…Experiments in high quality crystals [18] do in fact yield a value of y = 0.61, substantially less than unity, in the extreme underdoped regime. Moreover, based on our analysis, a plot of T c vs. ρ s (0) should rise more steeply in the underdoped regime than in the overdoped regime; a number of experiments appear to support this assertion at a qualitative level [19,20,21] (an effect known in the literature as the "boomerang" effect), although more data are necessary, especially because there are other experiments that do not fit into this picture [22].…”

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confidence: 99%

Criticality in correlated quantum matter

2005

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At quantum critical points (QCP) [1,2,3,4,5,6,7] there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which, remarkably, can be observed at finite temperatures, the regime to which all experiments are necessarily confined. A fundamental question is how high in temperature can the effects of quantum criticality persist? That is, can physical observables be described in terms of universal scaling functions originating from the QCPs? Here we answer these questions by examining exact solutions of models of correlated systems and find that the temperature can be surprisingly high. As a powerful illustration of quantum criticality, we predict that the zero temperature superfluid density, ρs(0), and the transition temperature, Tc, of the cuprates are related by Tc ∝ ρs(0) y , where the exponent y is different at the two edges of the superconducting dome, signifying the respective QCPs. This relationship can be tested in high quality crystals.Do quantum critical points (QCPs) provide a powerful framework for understanding complex correlated many body problems? Do they shed new light on quantum mechanics of macroscopic systems, providing, for example, a deeper understanding of entanglement? Answers to many such questions require a precise recognition of the experimentally observable regime of quantum criticality. An important class of QCPs are analogs of classical critical points, but in a dimension higher than the actual spatial dimension of the system; that is, a quantum critical point in d spatial dimensions is equivalent to a classical critical point in (d + z), dimensions, where z is the dynamic critical exponent. We shall be primarily concerned with z = 1, although an example involving z = 1 is given below. This extra dimension (imaginary time) is the sine qua non of the effect of quantum mechanics.It seems paradoxical that often the region of classical critical fluctuations is small and tends to zero as the temperature, T , tends to zero, while the region of quantum critical fluctuations fans out as T increases. The reason is that the quantum critical region is determined by the dominant microscopic energy scale in the Hamiltonian, whereas the classical critical region is determined by the ratio of the transition temperature, T c , to the same scale raised to a positive power (the dimensionality). Since this ratio is usually small compared to unity (it is 10 −5 in a conventional superonductor), the classical critical region is small as well. As a classical critical point is driven to zero by tuning a parameter to reach the QCP, T c itself vanishes as ξ −z , provided the T = 0 spatial correlation length, ξ, is large compared to the lattice spacing, further amplifying the contrast between classical and quantum criticalities.How high in temperature does the effect of a QCP persist? Consider perhaps the simplest possible example of a quantum phase transition described by the Hamiltonian of an Ising model in a transverse field [8] in one dimension,where the usual Pauli matrices,...

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confidence: 99%

Criticality in correlated quantum matter

2005

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“…24 We added results obtained on thin films and bulks. [25][26][27] In the light of the uncertainties on the actual superconducting thickness of our films and hence on the precise value of J c, the study of the power law relation between T c and k is a convenient workaround. Moreover, it is related to the mechanism responsible of the reduction of T c in the underdoped state, which is a fundamental property of YBCO.…”

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Ionic liquid gating of ultra-thin YBa2Cu3O7−x films

Fête

Rossi

Augieri

et al. 2016

Applied Physics Letters

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In this paper, we present a detailed investigation of the self-field transport properties of an ionic liquid gated ultra-thin YBa2Cu3O7−x (YBCO) film. From the high temperature dynamic of the resistivity (>220 K), different scenarios pertaining to the interaction between the liquid and the thin film are proposed. From the low temperature evolution of Jc and Tc, a comparison between the behavior of our system and the standard properties of YBCO is drawn.

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On the occurrence of Berezinskii-Kosterlitz-Thouless behavior in highly anisotropic cuprate superconductors

Schneider¹

2007

Europhys. Lett.

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The conflicting observations in the highly anisotropic Bi2Sr2CaCu2O 8+δ , evidence for BKT behavior emerging from magnetization data and smeared 3D-xy behavior, stemming form the temperature dependence of the magnetic in-plane penetration depth are traced back to the rather small ratio, ξ [13,14,15,16,17,18,19,20,21] failed to observe any trace of the universal jump in the superfluid density around T c . Indeed, a systematic finite-size scaling analysis of in-plane penetration depth data taken on films and single crystals of the highly anisotropic Bi 2 Sr 2 CaCu 2 O 8+δ reveal a smeared transition, consistent with an inhomogeneity induced finite-size effect [22]. Furthermore, there is evidence that in small thin-film samples on insulating substrates, edge effects modify the vortex-vortex interaction making it short-range, unlike the logarithmic long-range interaction needed for the BKT transition. This appears to make the BKT transition impossible in thin films of any size if they are supported by a non-superconducting substrate [23].In this work we attempt to unravel the conflicting observations on the highly anisotropic Bi 2 Sr 2 CaCu 2 O 8+δ : evidence for BKT behavior emerging from the magnetization data of Li et al. [10] and evidence for smeared 3D-xy behavior, stemming form the temperature dependence of the magnetic in-plane penetration depth [13,16,22]. Although Bi 2 Sr 2 CaCu 2 O 8+δ is highly anisotropic [24], resistivity measurements [25] uncover clearly the three dimensional nature of the transition in this extreme type II superconductor. Accordingly, sufficiently close to T c homogeneous samples are expected to exhibit 3D-xy critical behavior. To explore how close this should be, we consider the magnetic in-plane penetration data shown in Fig. 1, derived from the complex conductivity measurements of Osborn et al.[16] on epitaxially grown Bi 2 Sr 2 CaCu 2 O 8+δ films, using a two-coil inductive technique at zero applied. For comparison we included the leading 3D-xy behavior given by the universal relation [5,22,26,27] withApparently, there is a rounded transition pointing to a finite size effect, preventing the c-axis correlation length ξ for the critical amplitude of the c-axis correlation length below T c and the limiting length L c set by inhomogeneities. The rather small value of ξ − c0 , reflecting the

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Lower Critical Field and Superfluid Density of Highly UnderdopedYBa2Cu3O6+xSingle Crystals

Cited by 86 publications

References 34 publications

Criticality in correlated quantum matter

Criticality in correlated quantum matter

Ionic liquid gating of ultra-thin YBa2Cu3O7−x films

On the occurrence of Berezinskii-Kosterlitz-Thouless behavior in highly anisotropic cuprate superconductors

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