Edge Hamiltonian for Free Fermion Quantum Hall Models
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915653293703168 |
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| author | Du, Simon Fraas, Martin Gopal, Abi Singh, Nathan |
| author_facet | Du, Simon Fraas, Martin Gopal, Abi Singh, Nathan |
| contents | We investigate a proposal of Kitaev for a microscopic construction of a Hamiltonian intended to describe the edge dynamics of a quantum Hall system. We show that the construction works in the setting of translation-invariant free-fermion Hamiltonians. In this case, the resulting edge Hamiltonian exhibits only edge modes, and these modes have the correct chirality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Edge Hamiltonian for Free Fermion Quantum Hall Models Du, Simon Fraas, Martin Gopal, Abi Singh, Nathan Mathematical Physics Quantum Physics We investigate a proposal of Kitaev for a microscopic construction of a Hamiltonian intended to describe the edge dynamics of a quantum Hall system. We show that the construction works in the setting of translation-invariant free-fermion Hamiltonians. In this case, the resulting edge Hamiltonian exhibits only edge modes, and these modes have the correct chirality. |
| title | Edge Hamiltonian for Free Fermion Quantum Hall Models |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2512.04430 |