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Topological Quantum Computing

Protected Topological Nodal Ring Semimetal in Graphene

arXiv
Authors: Karyn Le Hur, Sariah Al Saati

Year

2022

Paper ID

57534

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

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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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2211.04947 [2] arXiv https://arxiv.org/abs/2211.04947 [3] Publisher https://arxiv.org/abs/2211.04947

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