Quantum Hall Ground States and Regular Graphs
Strongly Correlated Electrons
2022-10-18 v4 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We show that every uniform state on the sphere is essentially a superposition of regular graphs. In addition, we develop a graph-based ansatz to construct trial FHQ ground states sharing the local properties of Jack polynomials. In particular, our graphic states have the clustering property. Moreover, a subclass of the construction is realizable as the densest zero-energy state of a model that modifies the projection Hamiltonian.
Cite
@article{arxiv.1807.01811,
title = {Quantum Hall Ground States and Regular Graphs},
author = {Hamed Pakatchi},
journal= {arXiv preprint arXiv:1807.01811},
year = {2022}
}