Protected Topological Nodal Ring Semimetal in Graphene

• URL: http://arxiv.org/abs/2211.04947v2
• Date: Thu, 17 Nov 2022 12:59:29 GMT
• Title: Protected Topological Nodal Ring Semimetal in Graphene
• Authors: Karyn Le Hur and Sariah Al Saati
• Abstract summary: We introduce a topological nodal ring semimetal in graphene with a quantized quantum Hall response. The system may have applications in nano-electronics and in quantum mechanical entanglement applied to band theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of its dispersion relation with both quasiparticles and quasiholes or matter and anti-matter. We introduce a topological nodal ring semimetal in graphene with a quantized quantum Hall response, a robust one-dimensional chiral edge mode and a quadratic Fermi-liquid spectrum for the quasiparticles and quasiholes in the bulk. The bulk band degeneracy at the Fermi energy is protected through a Z2 symmetry related to the two spin polarizations of an electron and a double-orthogonality structure in the sublattice and spin quantum numbers of the two crossing eigenstates. The system may have applications in nano-electronics and in quantum mechanical entanglement applied to band theory.

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