Effect of fractons in superconductors with fractal structure

Xiao-Bing Wang; Jian-Xin Li; Qing Jiang; Zhe-Hua Zhang; De-Cheng Tian

doi:10.1103/PhysRevB.49.9778

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Effect of fractons in superconductors with fractal structure

Xiao-Bing Wang, Jian-Xin Li, Qing Jiang, Zhe-Hua Zhang, De-Cheng Tian

DOI 10.1103/PhysRevB.49.9778 · Physical Review B

T1

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Abstract

We present in this paper the first quantitative calculation of critical temperature Tc and gap parameter β(≡2Δ/kBTc) of superconductors with fractal structure in the light of electron-fracton coupling. The Kresin’s formula which is valid for any arbitrary value of λ is used. The calculations are based on the McMillan function α2F(ω) of electron-fracton interaction recently developed by the authors. Variations of Tc and β with the fractal dimension D are plotted. The results exhibit the possibility of obtaining high critical temperature in superconductors where electrons and fractons are strongly coupled. Application of the calculations to amorphous superconductors is discussed.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Be Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown