论文标题

多次超导体的金茨堡 - 兰道表面能:推导和应用到选定的系统

Ginzburg-Landau surface energy of multiband superconductors: Derivation and application to selected systems

论文作者

Bekaert, Jonas, Bringmans, Levie, Milosevic, Milorad

论文摘要

我们基于多播种磁场(GL)方法,在存在磁场的情况下,确定了多播超导与正常半空间之间界面的能量。我们获得多播表面能由临界温度,状态的电子密度以及与不同带冷凝物相关的超导间隙函数完全确定。此外,在存在任意数量的贡献带的情况下,这种热力学临界磁场的表达。随后,我们通过GL方程的数值解研究了表面能的符号,这是材料参数的函数。在这里,我们考虑了两种不同的情况:(i)具有吸引人相互作用的标准多播种超导体,以及(ii)由带性基端状态的三波段超导体,是由带反应的频带相互作用引起的。此外,我们将这种方法应用于基于从第一原理计算获得的显微镜参数,将多播超导体的几个主要示例,例如金属氢和MGB $ _2 $。

We determine the energy of an interface between a multiband superconducting and a normal half-space, in presence of an applied magnetic field, based on a multiband Ginzburg-Landau (GL) approach. We obtain that the multiband surface energy is fully determined by the critical temperature, electronic densities of states, and superconducting gap functions associated with the different band condensates. This furthermore yields an expression for the thermodynamic critical magnetic field, in presence of an arbitrary number of contributing bands. Subsequently, we investigate the sign of the surface energy as a function of material parameters, through numerical solution of the GL equations. Here, we consider two distinct cases: (i) standard multiband superconductors with attractive interactions, and (ii) a three-band superconductor with a chiral ground state with phase frustration, arising from repulsive interband interactions. Furthermore, we apply this approach to several prime examples of multiband superconductors, such as metallic hydrogen and MgB$_2$, based on microscopic parameters obtained from first-principles calculations.

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