Measuring Space Deformation via Graphene under Constraints

Abstract

We describe the lattice deformation in graphene under strain effect by considering the spacial-momenta coordinates do not commute. This later can be realized by introducing the star product to end up with a generalized Heisenberg algebra. Within such framework, we build a new model describing Dirac fermions interacting with an external source that noncommutative parameter $\kappa$ dependent. The solutions of the energy spectrum are showing effective Landau levels in similar way to the case of a real magnetic field applied to graphene. We show that some strain configurations would be able to explicitly evaluate $\kappa$ and then offer a piste toward its measurement.

8 pages

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• All-graphene integrated circuits via strain engineering
• Symmetry-based approach to electron-phonon interactions in graphene
• Pseudomagnetic fields and ballistic transport in a suspended graphene sheet
• Room temperature strain-induced Landau levels in graphene on a wafer-scale platform
• Generalized Dirac structure beyond the linear regime in graphene
• Revisiting the gauge fields of strained graphene
• Landau Levels in Uniaxially Strained Graphene: A Geometrical Approach

Cited by in corpus (3)

• The three "layers" of graphene monolayer and their analog generalized uncertainty principles
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Tunneling in an anisotropic cubic Dirac semi-metal