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General pairing theory for condensed and noncondensed Cooper pairs of a superconductor in a high magnetic field

机译：强磁场中超导体的凝聚和非凝聚库珀对的一般配对理论

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摘要

We extend Gor'kov theory to address superconducting pairing at high magnetic fields and general temperatures with arbitrary attractive interaction strength. This analysis begins with an interpretation of the high-field Gor'kov gap equation which we associate with an instability in a generalized particle-particle ladder series. Importantly, this interpretation of the nonlinear gap equation enables a treatment of pairing which is distinct from condensation. We also show how to consolidate two distinct fermionic pairing schemes in real and momentum space, both corresponding to an Abrikosov lattice. Numerical results for the fermionic local density of states demonstrate that gapless structure in a field is robust and presumably relevant to quantum oscillation experiments. We find that despite their differences, both pairing schemes contain very similar physics. Our formalism is designed to explore a variety of magnetic field effects in the so-called pseudogap phase and throughout the BCS-BEC crossover.
机译：我们扩展了戈尔科夫理论，以解决具有任意吸引力相互作用强度的高磁场和一般温度下的超导配对。该分析从对高场Gor'kov间隙方程的解释开始，我们将其与广义粒子-粒子阶梯序列中的不稳定性相关联。重要的是，这种对非线性间隙方程的解释使得能够进行不同于凝聚的配对处理。我们还展示了如何在真实空间和动量空间中巩固两个截然不同的铁氧体配对方案，这两个方案均对应于Abrikosov晶格。费米子态局部密度的数值结果表明，一个场中的无间隙结构是稳健的，可能与量子振荡实验有关。我们发现，尽管它们存在差异，但两种配对方案都包含非常相似的物理原理。我们的形式主义旨在探索在所谓的伪间隙阶段以及整个BCS-BEC交叉过程中的各种磁场效应。

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  • 来源
    《Physical review》 |2013年第2期|024516.1-024516.9|共9页
  • 作者

    Peter Scherpelz; Dan Wulin; Bretislav Sopik; K. Levin; A. K. Rajagopal;

  • 作者单位

    James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA;

    James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA;

    James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA;

    James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA;

    Inspire Institute, Inc., Alexandria, Virginia 22303, USA,Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India,Department of Materials Science & Engineering, Northwestern University, Evanston, IL 60208, USA;

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  • 正文语种 eng
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  • 关键词

    magnetic properties; cuprate superconductors (high-Tc and insulating parent compounds);

    机译：磁性铜酸盐超导体（高Tc和绝缘母体化合物）;

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