arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.5711cond-mat.supr-con
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超导电性和超流性的现代趋势。某些章节

Modern trends in Superconductivity and Superfluidity. Selected Chapters

M. Yu. Kagan

摘要:

第一章从经典液体和超流体流体力学守恒律的一般Landau格式开始。在Landau格式的基础上,我们研究了具有大量涡旋的旋转超流体的流体动力学。我们研究不同的制度,慢和快的旋转。在第四章中,我们考虑了超流~ 3 He-A中复杂而尚未解决的手征反常问题,并提出了两种相互竞争的方法。第一个是基于超对称流体力学,另一个是基于QED中Dirac方程的形式类比。在第六章和第七章中,我们研究了超冷量子气体和混合气体中的复合费米子和玻色子,它们对应于两个费米子、两个玻色子和费米子和玻色子组成的不同束缚态。我们还阐明了Skorniakov-Ter-Martirosian积分方程的精确解。本文介绍了Nozieres-Schmitt Rink和Legget理论关于量子气体中BCS-BEC交叉的基本思想,并构造了s波和p波对的相图。在第九章和第十章中,我们讨论了低密度下三维和二维电子系统中Kohn-Luttinger型超导的非声子机制,包括费米气体模型、Hubbard模型和Shubin-Vonsovsky模型。我们完成了p波和d波配对的相图,并讨论了在低密度下增加Tc的可能性。第15章和第16章分析了锰氧化物材料中电子纳米级相分离的机制。磁(或电荷)均匀有序对形成液滴结构(磁极化子)的不稳定性预测的相图上的一个宽的参数范围。本文还讨论了这些材料在分相态下的输运性质。

英文摘要:

In Chapter 1 we start with general Landau scheme of the conservation laws for the hydrodynamics of classical liquids and superfluids. On the basis of Landau scheme we consider hydrodynamics of rotating superfluids with large number of vortices. We study different regimes of slow and fast rotations. In Chapter 4 we consider complicated and yet unresolved problem of chiral anomaly in superfluid 3He-A and present two competing approaches. The first one is based on supersymmetric hydrodynamics, another one on the formal analogy with Dirac equation in QED. In Chapters 6 and 7 we study composed fermions and bosons which correspond to the different bound states consisting of two fermions, two bosons and fermion and boson in ultracold quantum gasses and mixtures. We also elucidate the exact solutions of the Skorniakov-Ter-Martirosian integral equations. We present the basic ideas of Nozieres-Schmitt Rink and Legget theory on BCS-BEC crossover in quantum gasses and construct the phase diagrams for the s-wave and p-wave pairings. In Chapters 9 and 10 we discuss non-phonon mechanisms of superconductivity of the Kohn-Luttinger type for different models in 3D and 2D electron systems at low densities including Fermi-gas, Hubbard and Shubin-Vonsovsky models. We complete the superconductive phase-diagrams of p-wave and d-wave pairing and discuss the possibility to increase Tc already at low density. In Chapters 15 and 16 the mechanisms of electron nanoscale phase-separation in manganite-type oxide materials are analyzed. The instability of magnetic (or charge) homogeneous ordering towards the formation of droplet structures (magnetic polarons) is predicted for a wide parameter range on the phase-diagram. The transport properties of these materials in the phase-separated state are also discussed.

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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