Effects of Strain on Electronic Properties of Graphene
Seon-Myeong Choi, Seung-Hoon Jhi, Young-Woo Son

TL;DR
This study uses first-principles calculations to explore how uniaxial and isotropic strains affect graphene's electronic properties, revealing persistent semi-metallicity, anisotropic Fermi velocity changes, and increased work function under strain.
Contribution
It provides a detailed analysis of strain effects on graphene's electronic structure, including Fermi velocity anisotropy and work function variation, using first-principles methods.
Findings
Semi-metallic nature persists up to 30% uniaxial strain.
Fermi velocity decreases along the strain direction and vanishes, while perpendicular velocity increases.
Work function increases significantly with strain.
Abstract
We present first-principles calculations of electronic properties of graphene under uniaxial and isotropic strains, respectively. The semi-metallic nature is shown to persist up to a very large uniaxial strain of 30% except a very narrow strain range where a tiny energy gap opens. As the uniaxial strain increases along a certain direction, the Fermi velocity parallel to it decreases quickly and vanishes eventually, whereas the Fermi velocity perpendicular to it increases by as much as 25%. Thus, the low energy properties with small uniaxial strains can be described by the generalized Weyl's equation while massless and massive electrons coexist with large ones. The work function is also predicted to increase substantially as both the uniaxial and isotropic strain increases. Hence, the homogeneous strain in graphene can be regarded as the effective electronic scalar potential.
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