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Edge Hamiltonian for Free Fermion Quantum Hall Models

Published 4 Dec 2025 in math-ph and quant-ph | (2512.04430v1)

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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