Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors
Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors
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DOI：
10.1103/physrevb.66.094501
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发表时间：
2001-12
影响因子：
3.7
通讯作者：
Ying Zhang;E. Demler;S. Sachdev
中科院分区：
文献类型：
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作者：
Ying Zhang;E. Demler;S. Sachdev
我们描述了超导Abrikosov磁通晶格中的二维量子自旋涨落的磁场施加到掺杂的莫特绝缘体。自洽大N理论的完整数值解提供了关于相图和动态自旋谱的空间结构的详细信息。我们的结果适用于相位和没有长程自旋密度波秩序，并将这些阶段分开的磁量子临界点。我们讨论了我们的结果的关系，一些最近的中子散射测量的铜氧化物超导体中存在的一个应用领域。我们计算钉扎的静电荷秩序的涡核在“自旋间隙”阶段的自旋顺序保持动态波动，并认为这些结果适用于最近的扫描隧道显微镜（STM）测量。我们表明，与一个单一的典型的一组值的耦合常数，我们的模型描述的弹性中子散射强度，卫星布拉格峰与涡旋晶格在现有的中子散射观测的情况下，在STM观测的空间范围内的电荷顺序的场依赖性。我们提到的影响，我们的理论NMR实验。我们还提出了一个理论上的讨论，可以建立出的自旋和电荷序参数，包括自旋向列相和相位与“激子分馏”的更奇特的状态。
We describe two-dimensional quantum spin fluctuations in a superconducting Abrikosov flux lattice induced by a magnetic field applied to a doped Mott insulator. Complete numerical solutions of a self-consistent large-N theory provide detailed information on the phase diagram and on the spatial structure of the dynamic spin spectrum. Our results apply to phases with and without long-range spin-density-wave order, and to the magnetic quantum critical point separating these phases. We discuss the relationship of our results to a number of recent neutron-scattering measurements on the cuprate superconductors in the presence of an applied field. We compute the pinning of static charge order by the vortex cores in the "spin-gap" phase where the spin order remains dynamically fluctuating, and argue that these results apply to recent scanning-tunneling-microscopy (STM) measurements. We show that, with a single typical set of values for the coupling constants, our model describes the field dependence of the elastic-neutron-scattering intensities, the absence of satellite Bragg peaks associated with the vortex lattice in existing neutron-scattering observations, and the spatial extent of charge order in STM observations. We mention implications of our theory for NMR experiments. We also present a theoretical discussion of more exotic states that can be built out of the spin- and charge-order parameters, including spin nematics and phases with "exciton fractionalization".