标题： 元素镓的结构相：类型-I超导体中的普遍关系 显示英文标题

标题： Structural phases of elemental Gallium: universal relations in type-I superconductors

摘要： 温度依赖的热力学临界场和比热测量结果针对元素镓的压力稳定Ga-II相进行了展示。 在元素和二元声子媒介型I超导体的背景下讨论这些和其他Ga相的数据，使得能够建立BCS量之间的简单标度关系，例如$B_{\rm c}(0)/T_{\rm c}\sqrt{\gamma_{\rm e}}$和比热在$T_{\rm c}$处的跳跃与耦合强度$2\Delta/k_{\rm B} T_{\rm c}$的关系[$\Delta$和$B_{\rm c}(0)$分别是超导能隙和热力学临界场的零温值，$T_{\rm c}$是转变温度，$\gamma_{\rm e}$是电子比热]。 通过考虑BCS理论的强耦合修正，可以解析地表达这些标度关系。 这样的相关性可以自然地解释$B_{\rm c}(0)$和$T_{\rm c}$之间的线性关系，这种关系适用于类型-I超导材料。 显示英文摘要

摘要： The temperature dependent measurements of the thermodynamic critical field and the specific heat for the pressure stabilized Ga-II phase of elemental Gallium are presented. The discussion of these and other Ga phases data in the context of elemental and binary phonon-mediated type-I superconductors allowed to establish simple scaling relations between BCS quantities such as $B_{\rm c}(0)/T_{\rm c}\sqrt{\gamma_{\rm e}}$ and the specific heat jump at $T_{\rm c}$ versus the coupling strength $2\Delta/k_{\rm B} T_{\rm c}$ [$\Delta$ and $B_{\rm c}(0)$ are the zero-temperature values of the superconducting energy gap and the thermodynamic critical field, respectively, $T_{\rm c}$ is the transition temperature, and $\gamma_{\rm e}$ is the electronic specific heat]. The scaling relations can be analytically expressed by taking into account strong-coupling corrections to BCS theory. Such correlations can naturally explain the linear relation between $B_{\rm c}(0)$ and $T_{\rm c}$, which holds for type-I superconducting materials.