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Li, Qiang; Suenaga, M.; Bulaevskiǐ, L. N.; Hikata, Takeshi; Sato, K.

doi:10.1103/physrevb.48.13865

Cited by 21 publications

(15 citation statements)

References 26 publications

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“…As emphasized by Pierson et al, 20 the length l describes a length scale in the c direction of the crystal and is frequently associated with the thickness of the superconducting planes within a unit cell. 17,18 In our case, for Tl-1212, we have l 1212 Х50 Å. This value has to be compared with l YBCO Х55 Å obtained by Pierson in YBa 2 Cu 3 O 7 from the data of Ref.…”

Section: A Magnetization Measurementsmentioning

confidence: 67%

“…We observe here a temperature T* where all the M (T) curves registered for different magnetic fields cross at a single point. This phenomenon has often been observed in bismuth-and thallium-based compounds [15][16][17][18]4 and is considered as a manifestation of critical superconducting fluctuations in Josephson coupled layered superconductors.…”

Section: A Magnetization Measurementsmentioning

confidence: 91%

“…1 and 2, an interesting feature of the Josephson coupled layered superconductors is the existence of a field-independent magnetization point at a temperature T*. 4,6,17,18 This peculiar behavior is usually explained by the vortex fluctuations effect, i.e., the entropy contribution to the free energy due to the thermal distortions of two-dimensional vortex pancakes as suggested by Bulaevskii et al 21 In this model, the field-independent magnetization is defined as…”

Section: A Magnetization Measurementsmentioning

confidence: 96%

“…These latter authors have obtained an explicit form of the scaling function for the fluctuation's contribution to thermodynamic quantities in two-dimensional ͑2D͒ superconductors on the basis of the lowest Landau level approximation. In addition, in bismuthbased superconductors, Li et al 17,18 have also successfully analyzed the fluctuation magnetization in high magnetic fields using the above 2D analysis. For these very anisotropic compounds, there is indeed no difficulty to account for the experimental magnetization data by assuming a bidimensionality on the whole range of temperature.…”

Section: A Magnetization Measurementsmentioning

confidence: 99%

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Scaling behavior of conductivity and magnetization in high-temperature superconductors

et al. 1997

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Through magnetization and conductivity measurements, the effect of dimensionality on the superconducting fluctuations has been investigated for Tl 2 Ba 2 CaCu 2 O 8 ͑Tl-2212͒, YBa 2 Cu 3 O 7 ͑YBCO͒, and ͑Tl,Bi͒Si 2 CaCu 2 O 7 ͑Tl-1212͒. Our results show that the bilayered thallium compound ͑i.e., Tl-2212 which is the most anisotropic compound͒ is clearly two-dimensional ͑2D͒ while a 3D-2D crossover is evidenced for Tl-1212 and YBCO. This crossover occurs through an intermediate region between two asymptotic behaviors: 3D near the transition and 2D at higher temperatures.

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Section: A Magnetization Measurementsmentioning

confidence: 67%

Section: A Magnetization Measurementsmentioning

confidence: 91%

Section: A Magnetization Measurementsmentioning

confidence: 96%

Section: A Magnetization Measurementsmentioning

confidence: 99%

See 2 more Smart Citations

Scaling behavior of conductivity and magnetization in high-temperature superconductors

et al. 1997

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“…This scaling behavior is expected specially in a high magnetic field. Many experiments were tried to test these scaling laws and obtain the values of the mean-field transition temperature T c (H) and the slope −dH c2 /dT [4,5,6]. However, due to the sample diversity, the scaling produced values of T c (H) and −dH c2 /dT that did not agree with each other.…”

mentioning

confidence: 99%

Reversible magnetization and critical fluctuations in systematically dopedYBa2Cu3O7−δsingle crystals

et al. 2006

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The temperature and field dependence of reversible magnetization have been measured on a YBa2Cu3O 7−δ single crystal at six different doping concentrations. It is found that the data above 2 T can be described by the scaling law based on the GL-LLL (lowest Landau level approach based on Ginzburg-Landau theory) critical fluctuation theory yielding the values of the slope of upper critical field −dHc2(T )/dT near Tc. This set of values is self-consistent with that obtained in doing the universal scaling for the six samples. Based on a simple Ginzburg-Landau approach, we determined the doping dependence of the coherence length ξ which behaves in a similar way as that determined from ξ =hvF/Esc with Esc the superconducting energy scale. Our results may suggest a growing coherence length towards more underdoping.PACS numbers: 74.40.+k, 74.25.Ha, 74.72.Bk, 74.25.Op In hole doped high temperature superconductors the transition temperature T c and the maximum quasiparticle gap (or called as the pseudogap) behave in an opposite way: the former drops down but the latter rises up towards more underdoping [1]. Although consensus has been reached on the doping dependence of some quantities, such as the transition temperature T c , the superfluid density ρ s and the condensation energy, etc., it remains still highly controversial about the doping dependence of the upper critical field or the coherence length in the underdoped region. In practice, however, to directly determine H c2 (0) has turned out to be a difficult task due to its very large values. An alternatively way to derive −dH c2 (T )/dT near T c is to measure the reversible magnetization or conductivity and then analyze the data based on the critical fluctuation theory. Using the Lawrence-Doniach model for layered structure of superconductors, Ullah-Dorsey obtained expressions for the scaling functions of various thermodynamic and transport quantities around T c [2]. Moreover, Tešanović et al. pointed out that the scaling of magnetization due to critical fluctuations near H c2 (T ) can be represented in terms of the Ginzburg-Landau (GL) mean field theory on a degenerate manifold spanned by the lowest Landau level (LLL) [3]. By using a nonperturbative approach to the Ginzburg-Landau free energy functional, M (T ) curves are evaluated explicitly for quasi-2D superconductors in a close form as:where A and B are independent of T and H, but A is dependent on both the GL parameter κ and |dH c2 /dT | Tc , B depends on κ. This scaling behavior is expected specially in a high magnetic field. Many experiments were tried to test these scaling laws and obtain the values of the mean-field transition temperature T c (H) and the slope −dH c2 /dT [4,5,6]. However, due to the sample diversity, the scaling produced values of T c (H) and −dH c2 /dT that did not agree with each other. As a consequence, the universal scaling for superconducting diamagnetization fluctuations is still elusive. In this paper, we systematically investigate the diamagnetization fluctuations in the vicini...

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Vortex Excitations Above T c in the Cuprate Superconductor Bi2Sr2Ca2Cu3O10 as Revealed by ESR

et al. 2010

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Thermodynamics of superconductingBi2Sr2
Qiang Li
¹
,
M. Suenaga
²
,
L. N. Bulaevskiǐ
³

et al.

Cited by 21 publications

References 26 publications

Scaling behavior of conductivity and magnetization in high-temperature superconductors

Scaling behavior of conductivity and magnetization in high-temperature superconductors

Reversible magnetization and critical fluctuations in systematically dopedYBa2Cu3O7−δsingle crystals

Vortex Excitations Above T c in the Cuprate Superconductor Bi2Sr2Ca2Cu3O10 as Revealed by ESR

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Thermodynamics of superconductingBi2Sr2Qiang Li1, M. Suenaga2, L. N. Bulaevskiǐ3 et al.

Cited by 21 publications

References 26 publications

Scaling behavior of conductivity and magnetization in high-temperature superconductors

Scaling behavior of conductivity and magnetization in high-temperature superconductors

Reversible magnetization and critical fluctuations in systematically dopedYBa2Cu3O7−δsingle crystals

Vortex Excitations Above T c in the Cuprate Superconductor Bi2Sr2Ca2Cu3O10 as Revealed by ESR

Contact Info

Product

Resources

About

Thermodynamics of superconductingBi2Sr2
Qiang Li
¹
,
M. Suenaga
²
,
L. N. Bulaevskiǐ
³

et al.