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arXiv 0710.0608cond-mat.supr-concond-mat.str-el
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高温超导体中的费米口袋和霍尔系数的量子振荡

Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors

Sudip Chakravarty, Hae-Young Kee

摘要:

近年来,高磁场和低温下高温超导体的量子振荡测量迎来了一个新的时代。这些实验探索了超导性产生的正常状态,并提供了由电子和空穴口袋组成的重建费米表面的证据,在这种可能性以前被认为是遥远的制度。更具体地说,已经发现霍尔系数根据昂萨格量子化条件振荡,只涉及基本常数和口袋的面积,但符号为负。在这里,我们解释的理论,所谓的正常状态表现出隐藏的顺序,$d$ -密度波,打破对称性,标志着时间反转,平移的晶格间距,并旋转一个角度$π/2$,而任何两个对称操作的产品被保存。我们分析的成功强调了对称性自发破缺、费米面重构和常规准粒子的重要性。我们主要关注的版本的顺序是相称的基础晶格,但也触及的后果,如果顺序是不相称的。结果表明,而公度阶导致两个独立的振荡频率作为所施加的磁场的逆的函数,不公度阶导致三个独立的频率。然而,振荡幅度由构成费米口袋的载流子的迁移率决定。

英文摘要:

Recent quantum oscillation measurements in high temperature superconductors in high magnetic fields and low temperatures have ushered in a new era. These experiments explore the normal state from which superconductivity arises and provide evidence of a reconstructed Fermi surface consisting of electron and hole pockets in a regime in which such a possibility was previously considered to be remote. More specifically, the Hall coefficient has been found to oscillate according to the Onsager quantization condition, involving only fundamental constants and the areas of the pockets, but with a sign that is negative. Here we explain the observations with the theory that the alleged normal state exhibits a hidden order, the $d$-density wave, which breaks symmetries signifying time reversal, translation by a lattice spacing, and a rotation by an angle $π/2$, while the product of any two symmetry operations is preserved. The success of our analysis underscores the importance of spontaneous breaking of symmetries, Fermi surface reconstruction, and conventional quasiparticles. We primarily focus on the version of the order that is commensurate with the underlying crystalline lattice, but also touch upon the consequences if the order were to incommensurate. It is shown that while commensurate order results in two independent oscillation frequencies as a function of the inverse of the applied magnetic field, incommensurate order leads to three independent frequencies. The oscillation amplitudes, however, are determined by the mobilities of the charge carriers comprising the Fermi pockets.

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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