Tensor monopoles and negative magnetoresistance effect in optical lattices

• URL: http://arxiv.org/abs/2007.02093v2
• Date: Sat, 5 Dec 2020 08:30:45 GMT
• Title: Tensor monopoles and negative magnetoresistance effect in optical lattices
• Authors: Hai-Tao Ding, Yan-Qing Zhu, Zhi Li, and Lubing Shao
• Abstract summary: We propose a kind of four-dimensional (4D) Hamiltonians, which host tensor monopoles related to quantum metric tensor in even dimensions. 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. We show that the quantum metric tensor and Berry curvature can be detected by applying an external drive in the optical lattices.
• Score: 3.2102885245931847
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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