| Autor: |
Ding, Hai-Tao, Zhu, Yan-Qing, Li, Zhi, Shao, Lubing |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Phys. Rev. A 102,53325 (2020) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevA.102.053325 |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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