There exist numerous experimental studies of the perpendicular and parallel upper critical magnetic fields in d-wave layered superconductors. They are usually theoretically fitted by the so-called Werthamer, Helfand, and Hohenberg (WHH) results, obtained for an isotropic 3D s-wave superconductors. As was theoretically shown by us and by Bulaevskii, layered compounds are characterized by different ratios of the parameter H_c2(0)/(|dH_c2/d\(T{{{\text{|}}}_{{{{T}_{c}}}}}\)T_c), where H_c2(0) is the upper critical magnetic field at T = 0 and |dH_c2/d\(T{{{\text{|}}}_{{{{T}_{c}}}}}\) is the so-called Ginzburg–Landau slope near T_c. In this paper, we show that for perpendicular upper critical magnetic field of a d-wave layered superconductor, the above discussed parameter is equal to H_c2(0)/(|dH_c2/d\(T{{{\text{|}}}_{{{{T}_{c}}}}}\)T_c) ≈ 0.629. To derive this result, we use exact method of the Green’s functions formulation of the BCS microscopic theory of superconductivity by Gor’kov. We compare our results with experimental ones, obtained on the d-wave superconductor YBa₂Cu₃O_{7 – δ}.

d波分层超导体中存在垂直和平行的上临界磁场的大量实验研究。从理论上讲，它们通常由所谓的Werthamer，Helfand和Hohenberg（WHH）结果拟合，这些结果是各向同性3D s波超导体获得的。正如我们和布拉维斯基（Bulaevskii）从理论上表明的那样，层状化合物的特征在于参数H _{c 2}（0）/（|| dH _{c 2} / d \（T {{{\ text {|}}}} _ {{ {{T} _ {c}}}} \）T _c），其中H _{c 2}（0）是T = 0时的上临界磁场。卫生署_{Ç 2} / d \（T {{{\文本{|}}} _ {{{{T】_ {C}}}}} \）靠近所谓的Ginzburg -朗道斜率Ť _Ç。在本文中，我们表明，对于d波分层超导体的垂直上临界磁场，上述参数等于H _{c 2}（0）/（| dH _{c 2} / d \（T {{{\ text {|}}} _ {{{{{T} _ {c}}}}} \）T _c）≈0.629。为了得出这个结果，我们使用了由戈尔科夫（Gor'kov）提出的BCS超导微观理论的格林函数公式的精确方法。我们比较我们的结果与实验结果，所获得的d波超导体YBa ₂ Cu ₃ O _7-δ。