Comparison of $H_{c2}(T,θ)$ in Mg$_{1-x}$Al$_x$B$_2$ single crystals with the dirty-limit two-gap theory

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dc.creatorKim, Heon-Jung
dc.creatorLee, Hyun-Sook
dc.creatorKang, Byeongwon
dc.creatorYim, Woon-Ha
dc.creatorJo, Younghun
dc.creatorJung, Myung-Hwa
dc.creatorLee, Sung-Ik
dc.date2005-12-12
dc.date.accessioned2026-07-07T06:53:17Z
dc.date.available2026-07-07T06:53:17Z
dc.descriptionWe studied the temperature and the angular dependences of the upper critical field ($H_{c2}(T,θ$)) of Mg$_{1-x}$Al$_x$B$_2$ single crystals ($x = 0.12$ and 0.21) and compared with the dirty-limit two-gap theory. We found that $H_{c2}(T,θ)$'s were well described in a unified way by this theory. The obtained values of the parameters indicated that as the Al concentration was increased, anisotropic impurity scattering increased, making the $σ$ bands less anisotropic. Accordingly, the temperature dependence of the anisotropy ratio of $H_{c2}$ ($γ_H$) systematically decreased, and for $x=0.21$, $γ_H$ was nearly constant. Our results imply that Mg$_{1-x}$Al$_x$B$_2$ single crystals are in dirty-limit and that two-gap nature survives until $x = 0.21$.
dc.identifierhttps://arxiv.org/abs/cond-mat/0512242
dc.identifierhttp://arxiv.org/abs/cond-mat/0512242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105529
dc.subjectSuperconductivity
dc.titleComparison of $H_{c2}(T,θ)$ in Mg$_{1-x}$Al$_x$B$_2$ single crystals with the dirty-limit two-gap theory
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