Irreducibility of the Dispersion Polynomial for Periodic Graphs
Algebraic Geometry
2024-11-12 v3 Mathematical Physics
math.MP
Spectral Theory
Abstract
We use methods from algebra and discrete geometry to study the irreducibility of the dispersion polynomial of a discrete periodic operator associated to a periodic graph after changing the period lattice. We provide numerous applications of these results to discrete periodic operators associated to families of graphs which include dense periodic graphs, and a family containing the hexagonal and diamond lattices.
Keywords
Cite
@article{arxiv.2302.11534,
title = {Irreducibility of the Dispersion Polynomial for Periodic Graphs},
author = {Matthew Faust and Jordy Lopez Garcia},
journal= {arXiv preprint arXiv:2302.11534},
year = {2024}
}
Comments
27 pages