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arXiv 1003.2665cond-mat.supr-concond-mat.str-el
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$\mathrm{YBa_{2}Cu_{3}O_{6+δ}}$中的多量子振荡频率和双层膜分裂

Multiple quantum oscillation frequencies in $\mathrm{YBa_{2}Cu_{3}O_{6+δ}}$ and bilayer splitting

David Garcia-Aldea, Sudip Chakravarty

摘要:

实验已经揭示了欠掺杂高温超导体$\mathrm{YBa_{2}Cu_{3}O_{6+δ}}$中的多个量子振荡频率,对应于大约10%的掺杂,其在单位晶胞中包含$\mathrm{CuO}$双层。这些单位单元通过隧穿矩阵元件沿着c轴进一步耦合。一个模型的能量分散,其根源在先前确定的电子结构,结合两倍相称的密度波,揭示了多个电子和空穴口袋。在一定程度上,重建的费米表面的准粒子有有限的残留物,但是很小,朗道水平的形成是这些振荡的原因和双层分裂和翘曲的电子色散沿垂直于CuO平面的方向是坚定的后果。我们详细探讨了这种可能性,并发现与实验总体一致。从能带结构计算得到的值可以得出一个重要的结论:双层分裂被严重重整化。对于更高的掺杂值进行这些实验将是非常有趣的。我们大致预计频率的分裂会随着掺杂而增加,但全貌可能更复杂,因为密度波序参量也会随着掺杂而减少,在超导圆顶的中间消失。

英文摘要:

Experiments have revealed multiple quantum oscillation frequencies in underdoped high temperature superconductor $\mathrm{YBa_{2}Cu_{3}O_{6+δ}}$, corresponding to approximately 10% doping, which contain $\mathrm{CuO}$ bilayers in the unit cell. These unit cells are further coupled along the c-axis by a tunneling matrix element. A model of the energy dispersion that has its roots in the previously determined electronic structure, combined with two-fold commensurate density waves, reveals multiple electron and hole pockets. To the extent that quasiparticles of the reconstructed Fermi surface have finite residues, however small, the formation of Landau levels are the cause of these oscillations and the bilayer splitting and warping of the electronic dispersion along the direction perpendicular to the CuO-planes are firm consequences. We explore this possibility in detail and find overall consistency with experiments. An important conclusion is that bilayer splitting is severely renormalized from the value obtained from band structure calculations. It would be extremely interesting to perform these experiments for higher values of doping. We roughly expect the splitting of the frequencies to increase with doping, but the full picture may be more complex because the density wave order parameter is also expected to decrease with doping, vanishing around the middle of the superconducting dome.

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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