English

The Dry Ten Martini Problem at Criticality

Mathematical Physics 2021-12-14 v1 Mesoscale and Nanoscale Physics math.MP Quantum Physics

Abstract

We apply recently developed methods for the construction of quasi-periodic transfer matrices to the Dry Ten Martini problem for the critical almost-Mathieu Operator, also known as the Aubry-Andre-Harper (AAH) model.

Cite

@article{arxiv.2112.06869,
  title  = {The Dry Ten Martini Problem at Criticality},
  author = {Dan S. Borgnia and Robert-Jan Slager},
  journal= {arXiv preprint arXiv:2112.06869},
  year   = {2021}
}

Comments

9 pages, 1 figure; companion paper to arXiv:2111.02789. arXiv admin note: text overlap with arXiv:2109.13933

R2 v1 2026-06-24T08:15:30.784Z