Determination of the critical exponent for high temperature superconductors using paraconductivity approach

Md. Ashadul Islam, M. A. Islam

Abstract

We have developed theoretical ideas to determine the critical exponent, understanding superconductivity for high-temperature superconductors. A detailed analysis is given based on the paraconductivity approach and compared with the experimental results. To develop the theoretical idea, the analysis is performed with the help of well-known paraconductivity expressions. To match the theoretical idea with experimental value, we have reproduced the data points using the ‘OriginPro’ software. Numerical estimation has been given in favour of the samples Tl2Ba2CaCu2O8 (TBCCO), Bi1.6Pb0.4Sr2Ca2Cu3Ox (BSCCO),  (YBCO) and  (SmBCO). The theoretical models largely agreed with the experimental results for the mentioned superconducting samples.

Keywords

Paraconductivity, critical exponent; high-temperature superconductor

Full Text:

PDF

References

[1] D. S. Fisher, M. P.A. Fisher and D. A. Huse, “Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors,” Phys. Rev. B 43 (1991) 130. https://doi.org/10.1103/PhysRevB.43.130

[2] K. Maki and R. S. Thompson, “Fluctuation conductivity of high-Tcsuperconductors”, Phys. Rev. B 39 (1989) 2767. https://doi.org/10.1103/PhysRevB.39.2767

[3] V. L. Ginzburg, and L. D. Landau. “The themodynamic theory of capillarity under the hypothesis of a continuous variation of density”, Zh. Eksp. & Teor. Fiz. 20 (1950) 1064.

[4] P. W. Anderson and Z. Zou, “Normal Tunneling and Normal Transport: Diagnostics for the Resonating- Valence-Bond State”, Phys. Rev. Lett. 60 (1988) 132. https://doi.org/10.1103/PhysRevLett.60.132

[5] A. L. Solovjov et al., “Pseudogap and Local Pairs in High-Tc Superconductors”, Superconductors- Materials, Properties and Applications, in: Tech. Rijeka, A. M. Gabovich (ed.), (2012), Ch. 7, p. 137. http://dx.doi.org/10.5772/50970

[6] W. Lang et al., “Paraconductivity and excess Hall effect in eptitaxial flims induced by superconducting fluctuations,” Phys. Rev. B 49 (1994) 4209. https://doi.org/10.1103/PhysRevB.49.4209

[7] A. L. Solovjov et al., “Fluctuation conductivity in flims with different oxygen content. II. YBCO flims with ,” Fiz. Nizk. Temp. 28 (2002) 144 [Low. Temp. Phys. 28 (2002) 99-108]. https://doi.org/10.1063/1.1461921

[8] R. V. Vovk, G. Ya. Khadzhai and O. V. Dobrovolskiy, “Resistive measurements of the pseudogap in lightly Pr- doped single crystals under high hydrostatic pressure”, Solid State Commun. 204 (2015) 64-66. https://doi.org/10.1016/j.ssc.2014.12.008

[9] J. S. Kouvel and M. E. Fisher, “Detailed Magnetic Behavior of Nickel Near its Curie Point”, Phys. Rev. 136 (1964) A1626. https://doi.org/10.1103/PhysRev.136.A1626

[10] A. J. Dekker et al., “Solid state physics,” edited by Editor(s) (MacMilan, India, 1957) p. 466.

[11] D. H. Kim et al., “Fluctuation conductivity of Tl-Ba-Cu-O thin flims,” Phys. Rev. B 39 (1989) 12275. https://doi.org/10.1103/PhysRevB.39.12275

[12] W. M. Woch et al., “Magnetoresistance of Bi1.6Pb0.4Sr2Ca2Cu3Ox bulk superconductor in the fluctuation region,” J. All. Comp. 692 (2017) 359-363. https://doi.org/10.1016/j.jallcom.2016.09.057

[13] J. Roa-Rojas, P. Prieto and P. Pureur, “Hall conductivity fluctuations in epitaxial thin flims. https://doi.org/10.1142/S0217984901002877

[14] J. Roa-Rojas et al., “Superconducting critical parameter caculation from the analysis of the paraconductivity in,” J. Supercond. Nov. mag. 35 (2022) 41-48.

DOI: https://doi.org/10.20961/jphystheor-appl.v10i1.115718

Refbacks

  • There are currently no refbacks.