Generalized Dirac structure beyond the linear regime in graphene
| Autor: | Iorio, A., Pais, P., Elmashad, I. A., Ali, A. F., Faizal, Mir, Abou-Salem, L. I. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Int. J. Mod. Phys. D 27, 1850080 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218271818500803 |
| Popis: | We show that a generalized Dirac structure survives beyond the linear regime of the low-energy dispersion relations of graphene. A generalized uncertainty principle of the kind compatible with specific quantum gravity scenarios with a fundamental minimal length (here graphene lattice spacing) and Lorentz violation (here the particle/hole asymmetry, the trigonal warping, etc.) is naturally obtained. We then show that the corresponding emergent field theory is a table-top realization of such scenarios, by explicitly computing the third order Hamiltonian, and giving the general recipe for any order. Remarkably, our results imply that going beyond the low-energy approximation does not spoil the well-known correspondence with analogue massless quantum electrodynamics phenomena (as usually believed), but rather it is a way to obtain experimental signatures of quantum-gravity-like corrections to such phenomena. Comment: 18 pages, 2 figures, comments added, relevant references included |
| Databáze: | arXiv |
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