First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911035631337472 |
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| author | Fedorovich, Gleb Kuhlenkamp, Clemens Imamoglu, Atac Amelio, Ivan |
| author_facet | Fedorovich, Gleb Kuhlenkamp, Clemens Imamoglu, Atac Amelio, Ivan |
| contents | In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density matrix renormalization group algorithm is used to compute the ground state of this generalized Fermi-Hubbard model. Increasing the strength of the nearest-neighbor repulsion, we find a first order transition between an Integer Quantum Hall phase and a crystalline, generalized Wigner crystal state. The first-order nature of the phase transition is consistent with a Ginzburg-Landau argument. We expect our results to be relevant for moiré heterostructures of two-dimensional materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study Fedorovich, Gleb Kuhlenkamp, Clemens Imamoglu, Atac Amelio, Ivan Strongly Correlated Electrons Mesoscale and Nanoscale Physics In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density matrix renormalization group algorithm is used to compute the ground state of this generalized Fermi-Hubbard model. Increasing the strength of the nearest-neighbor repulsion, we find a first order transition between an Integer Quantum Hall phase and a crystalline, generalized Wigner crystal state. The first-order nature of the phase transition is consistent with a Ginzburg-Landau argument. We expect our results to be relevant for moiré heterostructures of two-dimensional materials. |
| title | First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.03748 |