Orbital XY models in moiré superlattices

doi:10.1088/1674-1056/ad9ffc

中国物理B ›› 2025, Vol. 34 ›› Issue (2): 27303-027303.doi: 10.1088/1674-1056/ad9ffc

所属专题： TOPICAL REVIEW — Moiré physics in two-dimensional materials

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

收稿日期:2024-10-26 修回日期:2024-12-11 接受日期:2024-12-17 出版日期:2025-02-15 发布日期:2025-01-15
通讯作者: Yi-Jie Wang, Zhi-Da Song E-mail:wang-yijie@pku.edu.cn;songzd@pku.edu.cn
基金资助:
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).

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

Received:2024-10-26 Revised:2024-12-11 Accepted:2024-12-17 Online:2025-02-15 Published:2025-01-15
Contact: Yi-Jie Wang, Zhi-Da Song E-mail:wang-yijie@pku.edu.cn;songzd@pku.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: moiré superlattices, quantum dots, $XY$ model

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.

Key words: moiré superlattices, quantum dots, $XY$ model

中图分类号: (Quantum dots)

73.21.La

Yanqi Li(李彦琪), Yi-Jie Wang(王一杰), and Zhi-Da Song(宋志达). Orbital XY models in moiré superlattices[J]. 中国物理B, 2025, 34(2): 27303-027303.

Yanqi Li(李彦琪), Yi-Jie Wang(王一杰), and Zhi-Da Song(宋志达). Orbital XY models in moiré superlattices[J]. Chin. Phys. B, 2025, 34(2): 27303-027303.

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Orbital XY models in moiré superlattices

Orbital XY models in moiré superlattices

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