| DOI | Resolve DOI: https://doi.org/10.1103/PhysRevB.105.205105 |
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| Author | Search for: Saleem, YasserORCID identifier: https://orcid.org/0000-0002-9061-6110; Search for: Dusko, Amintor; Search for: Cygorek, Moritz; Search for: Korkusinski, Marek1; Search for: Hawrylak, Pawel |
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| Affiliation | - National Research Council Canada. Security and Disruptive Technologies
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| Funder | Search for: Natural Sciences and Engineering Research Council of Canada |
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| Format | Text, Article |
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| Abstract | We describe here a quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry. The simulator consists of a structured lateral gate confining two-dimensional electrons in a quantum well into artificial minima arranged in a hexagonal lattice. The sublattice symmetry breaking is generated by forming an artificial triangular graphene quantum dot (ATGQD) with zigzag edges. The resulting extended Hubbard model generates tunable ratio of tunneling strength to electron-electron interactions and of sublattice symmetry with control over shape. The validity of the simulator is confirmed for small systems using mean-field and exact diagonalization many-body approaches which show that the ground state changes from a metallic to an antiferromagnetic (AF) phase by varying the distance between sites or depth of the confining potential. The one-electron spectrum of these triangular dots contains a macroscopically degenerate shell at the Fermi level. The shell persists at the mean-field level for weak interactions (metallic phase) but disappears for strong interactions in the AF phase. We determine the effects of electron-electron interactions on the ground state, the total spin, and the excitation spectrum as a function of filling of the ATGQD. We find that the half-filled charge neutral shell leads to a partially spin-polarized state in both metallic and AF regimes in accordance with Lieb's theorem. In both regimes a relatively large gap separates the spin-polarized ground state to the first excited many-body state at half-filling of the degenerate shell. By adding or removing an electron, this gap drops dramatically, and alternate total spin states emerge with energies nearly degenerate to a spin-polarized ground state. |
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| Publication date | 2022-05-05 |
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| Publisher | merican Physical Society |
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| In | |
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| Language | English |
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| Peer reviewed | Yes |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | 6957580f-448f-448c-96a4-6e7534e11ac8 |
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| Record created | 2024-01-30 |
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| Record modified | 2024-01-30 |
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