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<p>Fluctuation-induced conductivity (FIC) was investigated using resistivity data for the Mg<sub>0.98</sub>Al<sub>0.02</sub>(B<sub>1-<i>x</i></sub>C<sub><i>x</i></sub>)<sub>2</sub> superconductor, synthesised via the solid-state reaction method with varying carbon concentrations (<i>x</i> = 0.00, 0.01, 0.02, 0.03, and 0.04). The temperature dependence of electrical resistivity, <i>ρ</i>(<i>T</i>), above the superconducting transition temperature (<i>T</i><sub>c</sub>) was analysed using the Aslamazov–Larkin (AL) and Lawrence–Doniach (LD) theoretical models. The study identified several fluctuation regimes: short-wave fluctuation (SWF), one-dimensional (1D), two-dimensional (2D), three-dimensional (3D), and the critical region (CR). Key parameters, including the coherence length at zero temperature, interlayer coupling distance (<i>d</i>), and Josephson coupling constant (<i>J</i>), were determined using the LD model. Notably, increasing carbon doping generally led to a decrease in coherence length, except for the sample with <i>x</i> = 0.03, which exhibited both the highest coherence length at zero temperature and the largest Josephson coupling constant. These findings suggest that the C-0.03 sample possesses unique superconducting properties, potentially due to optimal carrier density or microstructural effects.</p>

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Fluctuation-induced conductivity of nano Mg0.98Al0.02(B1–x Cx)2 superconductor

  • 期刊论文

  • 发表日期：

    2026年1月19日

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  • Intikhab A. Ansari

摘要

Fluctuation-induced conductivity (FIC) was investigated using resistivity data for the Mg0.98Al0.02(B1-xCx)2 superconductor, synthesised via the solid-state reaction method with varying carbon concentrations (x = 0.00, 0.01, 0.02, 0.03, and 0.04). The temperature dependence of electrical resistivity, ρ(T), above the superconducting transition temperature (Tc) was analysed using the Aslamazov–Larkin (AL) and Lawrence–Doniach (LD) theoretical models. The study identified several fluctuation regimes: short-wave fluctuation (SWF), one-dimensional (1D), two-dimensional (2D), three-dimensional (3D), and the critical region (CR). Key parameters, including the coherence length at zero temperature, interlayer coupling distance (d), and Josephson coupling constant (J), were determined using the LD model. Notably, increasing carbon doping generally led to a decrease in coherence length, except for the sample with x = 0.03, which exhibited both the highest coherence length at zero temperature and the largest Josephson coupling constant. These findings suggest that the C-0.03 sample possesses unique superconducting properties, potentially due to optimal carrier density or microstructural effects.