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arXiv · 2512.04430

Edge Hamiltonian for Free Fermion Quantum Hall Models

Simon Du·Martin Fraas·Abi Gopal·Nathan Singh
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Abstract

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.

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Simon Du, Martin Fraas, Abi Gopal, Nathan Singh. 2025-12-04. Edge Hamiltonian for Free Fermion Quantum Hall Models. https://arxiv.org/abs/2512.04430

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