Edge Hamiltonian for Free Fermion Quantum Hall Models
Mathematical Physics
2025-12-05 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2512.04430,
title = {Edge Hamiltonian for Free Fermion Quantum Hall Models},
author = {Simon Du and Martin Fraas and Abi Gopal and Nathan Singh},
journal= {arXiv preprint arXiv:2512.04430},
year = {2025}
}
Comments
15 pages, 7 figures