| SPECIAL TOPIC — Moiré physics in two-dimensional materials |
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Orbital XY models in moiré superlattices |
| Yanqi Li(李彦琪)1, Yi-Jie Wang(王一杰)1†, and Zhi-Da Song(宋志达)1,2,3‡ |
1 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
2 Hefei National Laboratory, Hefei 230088, China;
3 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China |
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Abstract Moiré superlattices provide a new platform to engineer various many-body problems. In this work, we consider arrays of quantum dots (QD) realized on semiconductor moiré superlattices with a deep moiré potential. We diagonalize single QD with multiple electrons, and find degenerate ground states serving as local degrees of freedom (qudits) in the superlattice. With a deep moiré potential, the hopping and exchange interaction between nearby QDs become irrelevant, and the direct Coulomb interaction of the density-density type dominates. Therefore, nearby QDs must arrange the spatial densities to optimize the Coulomb energy. When the local Hilbert space has a two-fold orbital degeneracy, we find that a square superlattice realizes an anisotropic $XY$ model, while a triangular superlattice realizes a generalized $XY$ model with geometric frustration.
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Received: 26 October 2024
Revised: 11 December 2024
Accepted manuscript online: 17 December 2024
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PACS:
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73.21.La
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(Quantum dots)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12274005), the National Key Research and Development Program of China (Grant No. 2021YFA1401903), and Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302403). |
Corresponding Authors:
Yi-Jie Wang, Zhi-Da Song
E-mail: wang-yijie@pku.edu.cn;songzd@pku.edu.cn
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Cite this article:
Yanqi Li(李彦琪), Yi-Jie Wang(王一杰), and Zhi-Da Song(宋志达) Orbital XY models in moiré superlattices 2025 Chin. Phys. B 34 027303
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