• 文献标题:   Generalized Dirac structure beyond the linear regime in graphene
  • 文献类型:   Article
  • 作  者:   IORIO A, PAIS P, ELMASHAD IA, ALI AF, FAIZAL M, ABOUSALEM LI
  • 作者关键词:   quantum gravity phenomenology, generalized uncertainty principle, graphene correspondence
  • 出版物名称:   INTERNATIONAL JOURNAL OF MODERN PHYSICS D
  • ISSN:   0218-2718 EI 1793-6594
  • 通讯作者地址:   Charles Univ Prague
  • 被引频次:   4
  • DOI:   10.1142/S0218271818500803
  • 出版年:   2018

▎ 摘  要

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 analog 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.