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arXiv 2007.02093cond-mat.mes-hallcond-mat.quant-gasquant-ph
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光晶格中的张量单极子和负磁电阻效应

Tensor monopoles and negative magnetoresistance effect in optical lattices

Hai-Tao Ding, Yan-Qing Zhu, Zhi Li, Lubing Shao

摘要:

提出了在光晶格中用超冷原子模拟一类四维哈密顿算符,该算符在偶数维中具有与量子度规张量相关的张量单极。详细研究了张量单极的拓扑性质和体边界对应。通过固定沿着其中一个维度的动量,它可以被简化为一个有效的三维模型,表现出非平凡的手征绝缘体相。利用半经典Boltzmann方程,计算了磁场$B$作用下的纵向电阻,发现当超平面穿过参数空间中的张量磁单极时,存在近似$ -B^{2} $依赖的负相对磁阻效应.我们还提出了一个实验方案,通过在三维光晶格中引入一个外部循环参数来实现这个四维哈密顿量。此外,我们还表明,通过在光晶格中施加外部驱动,可以检测到量子度规张量和Berry曲率。

英文摘要:

We propose that a kind of four-dimensional (4D) Hamiltonians, which host tensor monopoles related to quantum metric tensor in even dimensions, can be simulated by ultracold atoms in the optical lattices. The topological properties and bulk-boundary correspondence of tensor monopoles are investigated in detail. By fixing the momentum along one of the dimensions, it can be reduced to an effective three-dimensional model manifesting with a nontrivial chiral insulator phase. Using the semiclassical Boltzmann equation, we calculate the longitudinal resistance against the magnetic field $B$ and find the negative relative magnetoresistance effect of approximately $ -B^{2} $ dependence when a hyperplane cuts through the tensor monopoles in the parameter space. We also propose an experimental scheme to realize this 4D Hamiltonian by introducing an external cyclical parameter in a 3D optical lattice. Moreover, we show that the quantum metric tensor and Berry curvature can be detected by applying an external drive in the optical lattices.

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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