论文标题

从流体动力学到全息图

Magnetophonons & type-B Goldstones from Hydrodynamics to Holography

论文作者

Baggioli, Matteo, Grieninger, Sebastian, Li, Li

论文摘要

我们对大型有效全息模型进行详细分析,并在有限的电荷密度和磁场下翻译断裂。我们详尽地讨论了零磁场上流体动力模式的分散关系,并成功地将它们与带电流体动力学的预测匹配。在有限的磁场上,我们确定了预期的型B金石玻色子$ \ mathrm {re} [ω] \ sim k^2 $的存在,称为Magnetophonon及其间隙合作伙伴-Magnetoplasmon。我们讨论了它们与有效的现场理论和流体动力学期望有关的特性。最后,我们计算有限磁场处的光电导率和准模式。我们观察到,磁函数峰的固定频率随磁场的增加而增加,这与某些2D材料的实验数据一致,从而揭示了全息固定固定机制的量子性质。

We perform a detailed analysis of a large class of effective holographic models with broken translations at finite charge density and magnetic field. We exhaustively discuss the dispersion relations of the hydrodynamic modes at zero magnetic field and successfully match them to the predictions from charged hydrodynamics. At finite magnetic field, we identify the presence of an expected type-B Goldstone boson $\mathrm{Re}[ω]\sim k^2$, known as magnetophonon and its gapped partner -- the magnetoplasmon. We discuss their properties in relation to the effective field theory and hydrodynamics expectations. Finally, we compute the optical conductivities and the quasinormal modes at finite magnetic field. We observe that the pinning frequency of the magneto-resonance peak increases with the magnetic field, in agreement with experimental data on certain 2D materials, revealing the quantum nature of the holographic pinning mechanism.

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