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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.08621 |
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| _version_ | 1866909819743502336 |
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| author | Kul, E. Bulut Öztarhan, Gökhan Çınar, M. N. Güçlü, A. D. |
| author_facet | Kul, E. Bulut Öztarhan, Gökhan Çınar, M. N. Güçlü, A. D. |
| contents | We investigate the magnetic phases of triangular graphene quantum
dots (TGQDs) with zigzag edges using variational and quantum Monte
Carlo methods. These systems serve as quantum simulators for
bipartite lattices with broken sublattice symmetry, providing a
platform to study the extended Hubbard model's emergent magnetic
phenomena, including Lieb's magnetism at half-filling, edge
depolarization upon single-electron addition, and Nagaoka
ferromagnetism. Our non-perturbative quantum Monte Carlo simulations,
performed for lattices of up to 61 sites, reveal that TGQDs
transition from metallic to insulating regimes as a function of site
radius size, while retaining edge-polarized ground states at
half-filling. Notably, edge depolarization occurs upon
single-electron doping in both metallic and insulating phases,
contrasting with the Nagaoka ferromagnetism observed in hexagonal
armchair geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Monte Carlo study of artificial triangular graphene quantum dots Kul, E. Bulut Öztarhan, Gökhan Çınar, M. N. Güçlü, A. D. Mesoscale and Nanoscale Physics We investigate the magnetic phases of triangular graphene quantum dots (TGQDs) with zigzag edges using variational and quantum Monte Carlo methods. These systems serve as quantum simulators for bipartite lattices with broken sublattice symmetry, providing a platform to study the extended Hubbard model's emergent magnetic phenomena, including Lieb's magnetism at half-filling, edge depolarization upon single-electron addition, and Nagaoka ferromagnetism. Our non-perturbative quantum Monte Carlo simulations, performed for lattices of up to 61 sites, reveal that TGQDs transition from metallic to insulating regimes as a function of site radius size, while retaining edge-polarized ground states at half-filling. Notably, edge depolarization occurs upon single-electron doping in both metallic and insulating phases, contrasting with the Nagaoka ferromagnetism observed in hexagonal armchair geometries. |
| title | Quantum Monte Carlo study of artificial triangular graphene quantum dots |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2506.08621 |