标题： II型超导体在磁量子振荡极限下的精确解析古尔科夫-金兹堡-朗道理论 显示英文标题

标题： Exact analytic Gorkov-Ginzburg-Landau theory of type-II superconductivity in the magneto-quantum oscillations limit

摘要： 一种新的格林函数表示被用于在微观推导中得到强类型超导性在高磁场下的金兹堡-朗道理论。 对应序参量展开中的四次项的精确解析、物理上透明的表达式被提出。 该表达式揭示了与接近费米面的配对电子高度相干的回旋运动相关的超导（SC）自由能的奇异非局部贡献，这些贡献与涡旋晶格强烈耦合。 这些贡献的主要部分来自于由空间平均的势能产生的非相干散射，该势能仅在de Haas van Alphen频率中是谐波的。 然而，在低温下，由有序涡旋晶格产生的相干散射会作为磁场函数产生大的随机振荡（即顺磁-抗磁）的SC自由能贡献。 涡旋晶格无序会抑制这种振荡成分，但被发现可以保持SC自由能的奇异谐波部分。 显示英文摘要

摘要： A new Green's function representation is employed in a microscopic derivation of a Ginzburg-Landau theory of strongly type superconductivity at high magnetic fields. An exact analytical, physically transparent expression for the quartic term in the corresponding order parameter expansion is presented. The resulting expression reveals singular non-local contributions to the superconducting (SC) free energy, associated with highly coherent cyclotron motions of the paired electrons near the Fermi surface, which are strongly coupled to the vortex lattice. A major part of these contributions arises from incoherent scattering by the spatially averaged pair-potential, which is purely harmonic in the de Haas van Alphen frequency. However, coherent scatterings by the ordered vortex lattice generate, at low temperatures, large erratically oscillating (i.e. paramagnetic-diamagnetic) contribution to the SC free energy as a function of the magnetic field. Vortex lattice disorder, which tends to suppress this oscillatory component, is found to preserve the singular harmonic part of the SC free energy.