Dirac lattice
High Energy Physics - Theory
2015-06-03 v2 Mesoscale and Nanoscale Physics
High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field appears as the effective field describing the excitations above point-like Fermi surface. Together with the Dirac fermionic field an effective space-time metric is also emerging. We analyze the conditions for such Fermi points to appear in general, paying special attention to the cases of two and three spacial dimensions.
Keywords
Cite
@article{arxiv.1112.5937,
title = {Dirac lattice},
author = {Corneliu Sochichiu},
journal= {arXiv preprint arXiv:1112.5937},
year = {2015}
}
Comments
26 pages, 4 figures; typo and grammatical corrections, new reference(s) added, version accepted for publication