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Unconventional superconductors under a rotating magnetic field. Ⅰ. Density of states and specific heat

机译：旋转磁场下的非常规超导体。 Ⅰ。状态密度和比热

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We develop a fully microscopic theory for the calculations of the angle-dependent properties of unconventional superconductors under a rotated magnetic field. We employ the quasiclassical Eilenberger equations and use a variation of the Brandt-Pesch-Tewordt (BPT) method to obtain a closed-form solution for the Green's function. The equations are solved self-consistently for quasi-two-dimensional d_(x~2-y~2)(d_(xy)) superconductors with the field rotated in the basal plane. The solution is used to determine the density of states and the specific heat. We find that applying the field along the gap nodes may result in minima or maxima in the angle-dependent specific heat, depending on the location in the T-H plane. This variation is attributed to the scattering of the quasiparticles on vortices, which depends on both the field and the quasiparticle energy, and is beyond the reach of the semiclassical approximation. We investigate the anisotropy across the T-H phase diagram and compare our results with the experiments on heavy fermion CeCoIn_5.
机译：我们开发了一种用于在旋转磁场下计算非常规超导体角度相关特性的完全微观理论。我们使用准经典的Eilenberger方程，并使用Brandt-Pesch-Tewordt（BPT）方法的变体来获得Green函数的封闭形式解。对于场在基面中旋转的准二维d_（x〜2-y〜2）（d_（xy））超导体，方程自洽地求解。该解决方案用于确定状态和比热的密度。我们发现，沿着间隙节点施加电场可能会导致角度相关的比热的最小值或最大值，具体取决于T-H平面中的位置。这种变化归因于准粒子在涡旋上的散射，这取决于场和准粒子能量，并且超出了半经典近似的范围。我们研究了T-H相图中的各向异性，并将我们的结果与重费米子CeCoIn_5上的实验进行了比较。

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