Stability of the Spectral Gap for Lattice Fermions
Mathematical Physics
2020-09-30 v2 Statistical Mechanics
math.MP
Abstract
It is widely believed that the spectral gap above the Fermi sea ground state of lattice free fermions is stable against generic weak interactions. Quite recently, Hastings presented a new interesting idea to prove the stability for Majorana free fermions. He ingeniously used Majorana fermions so that the unperturbed Hamiltonian of the free fermion part is mapped into a frustration-free form. In this paper, we refine Hastings's argument, and give a complete proof of the stability of the spectral gap above the Fermi sea ground state against generic weak interactions for generic lattice free fermions.
Keywords
Cite
@article{arxiv.2005.04548,
title = {Stability of the Spectral Gap for Lattice Fermions},
author = {Tohru Koma},
journal= {arXiv preprint arXiv:2005.04548},
year = {2020}
}
Comments
54 pages, no figure, v2: One reference added, and minor corrections