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Edge Hamiltonian for Free Fermion Quantum Hall Models
Simon Du, Martin Fraas, Abi Gopal, Nathan Singh·December 4, 2025
Mathematical PhysicsQuantum Physics
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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.