Weak Localization and Magnetoconductance in Percolative Superconducting Aluminum Films
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arXiv
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| Natura: | Preprint |
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2026
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| _version_ | 1866914408870969344 |
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| author | Yamada, Kazumasa Shinozaki, Bunjyu Kawaguti, Takashi |
| author_facet | Yamada, Kazumasa Shinozaki, Bunjyu Kawaguti, Takashi |
| contents | In order to investigate the crossover from the homogeneous behavior to inhomogeneous (percolative) one, the temperature $T$ and magnetic field H dependence of the sheet resistance $R_\square$ have been measured for two-dimensional granular aluminum films. Fitting the theory to data of magnetoconductance near $T_C$ with use of the diffusion constant $D(T)$ as a fitting parameter, we have obtained the anomalous $T$-dependent diffusion constant $D$. From the analysis of $D(T)$, the electron diffusion index $θ$, a certain critical exponent in percolation theory, has been obtained. In the relation $R_\square-θ$, the value of $θ$ varies abruptly near $1.5kω$. This behavior suggesting the above mentioned crossover is similar to our previous results determined from the temperature dependence of the upper critical field. For percolative films in $H = 5\mathrm{T}$, we have found the strong $R_\square$ dependence of the prefactor $α_T$ in the expression$σ=[α_T e^2/(2π^2\hbar)]\ln T+σ_0$. The relation $α_T\propto1/R_\square$ can be explained qualitatively by a model of scaling law for percolation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_18684 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak Localization and Magnetoconductance in Percolative Superconducting Aluminum Films Yamada, Kazumasa Shinozaki, Bunjyu Kawaguti, Takashi Superconductivity In order to investigate the crossover from the homogeneous behavior to inhomogeneous (percolative) one, the temperature $T$ and magnetic field H dependence of the sheet resistance $R_\square$ have been measured for two-dimensional granular aluminum films. Fitting the theory to data of magnetoconductance near $T_C$ with use of the diffusion constant $D(T)$ as a fitting parameter, we have obtained the anomalous $T$-dependent diffusion constant $D$. From the analysis of $D(T)$, the electron diffusion index $θ$, a certain critical exponent in percolation theory, has been obtained. In the relation $R_\square-θ$, the value of $θ$ varies abruptly near $1.5kω$. This behavior suggesting the above mentioned crossover is similar to our previous results determined from the temperature dependence of the upper critical field. For percolative films in $H = 5\mathrm{T}$, we have found the strong $R_\square$ dependence of the prefactor $α_T$ in the expression$σ=[α_T e^2/(2π^2\hbar)]\ln T+σ_0$. The relation $α_T\propto1/R_\square$ can be explained qualitatively by a model of scaling law for percolation. |
| title | Weak Localization and Magnetoconductance in Percolative Superconducting Aluminum Films |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2603.18684 |