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arXiv 1202.0144cond-mat.supr-con
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磁量子振荡极限下第二类超导的精确解析Gorkov-Ginzburg-Landau理论

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

V. Zhuravlev, T. Maniv

摘要:

本文采用一种新的格林函数表示,在微观上导出了强磁场下的强型超导的Ginzburg-Landau理论。给出了相应的序参量展开式中四次项的精确解析的、物理透明的表达式。由此产生的表达式揭示了奇异的非本地贡献的超导(SC)自由能,与费米表面附近的成对电子,这是强烈耦合到涡旋晶格的高度相干的回旋运动。这些贡献的一个主要部分来自非相干散射的空间平均对电位,这是纯粹的谐波的德哈斯范阿尔芬频率。然而,相干散射有序的涡旋晶格产生,在低温下,大的不规则振荡(即顺磁性-抗磁性)的SC自由能的函数的磁场的贡献。涡晶格无序,这往往会抑制这种振荡分量,被发现保存SC自由能的奇异谐波部分。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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