PreprintarXiv licencearXiv
Free Fermion frustration-free models have zero Hall conductance
Abstract
We give a new proof that translation-invariant free Fermion frustration-free models have zero Hall conductance. Our proof is analytic in nature and it uses the bulk-edge correspondence. The central argument, which holds beyond the translation-invariant situation, is that in frustration-free models, edge modes cannot merge into the ground state band. We give an example of a gapped frustration-free model that is nonetheless gapless on the half-plane.
Related
- Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras
- The Intersection of nested filled-in little Julia sets have zero area
- Infinite-mean Galton-Watson trees have zero random-interchange threshold
- Exact solutions of hidden free fermion models
- Discrete WKB approach to density profiles in inhomogeneous two-band free-fermion chains
BibTeX
@misc{bachmann2026free,
title = {{Free Fermion frustration-free models have zero Hall conductance}},
author = {Sven Bachmann and Zhiqian Du and Martin Fraas},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21172},
eprint = {2610.21172},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21172},
}
RIS
TY - UNPB
TI - Free Fermion frustration-free models have zero Hall conductance
AU - Sven Bachmann
AU - Zhiqian Du
AU - Martin Fraas
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.21172
UR - https://arxiv.org/abs/2610.21172
AB - We give a new proof that translation-invariant free Fermion frustration-free models have zero Hall conductance. Our proof is analytic in nature and it uses the bulk-edge correspondence. The central argument, which holds beyond the translation-invariant situation, is that in frustration-free models, edge modes cannot merge into the ground state band. We give an example of a gapped frustration-free model that is nonetheless gapless on the half-plane.
ER -