Dirac lattice
arXiv:1112.5937 · doi:10.1088/1751-8113/46/1/015002
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.
26 pages, 4 figures; typo and grammatical corrections, new reference(s) added, version accepted for publication
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