Inverse design of strained graphene surfaces for electron control
arXiv:2112.00865
Abstract
This paper is devoted to the inverse design of strained graphene surfaces for the control of electrons in the semi-classical optical-like regime. Assuming that charge carriers are described by the Dirac equation in curved-space and exploiting the fact that wave propagation can be described by ray-optics in this regime, a general computational strategy is proposed in order to find strain fields associated with a desired effective refractive index profile. The latter is first determined by solving semi-classical trajectories and by optimizing a chosen objective functional using a genetic algorithm. Then, the graded refractive index corresponding to the strain field is obtained by using its connection to the metric component in isothermal coordinates. These coordinates are evaluated via numerical quasiconformal transformations by solving the Beltrami equation with a finite volume method. The graphene surface deformation is finally optimized, also using a genetic algorithm, to reproduce the desired index of refraction. Some analytical results and numerical experiments are performed to illustrate the methodology.
arXiv comment26 pages, 12 figures
References in corpus (22)
- The electronic properties of graphene
- Weak Gravitational Lensing
- Gauge fields in graphene
- Effects of Strain on Electronic Properties of Graphene
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Generating quantizing pseudomagnetic fields by bending graphene ribbons
- Space dependent Fermi velocity in strained graphene
- Gauge fields from strain in graphene
- Electronic properties of curved graphene sheets
- Wave packet dynamics and valley filter in strained graphene
- Understanding electron behavior in strained graphene as a reciprocal space distortion
- Pseudo magnetic field in strained graphene: revisited
- Generalizing the Fermi velocity of strained graphene from uniform to nonuniform strain
- Generalized effective hamiltonian for graphene under non-uniform strain
- Wave packet dynamics in a monolayer graphene
- The interplay between real and pseudo magnetic field in graphene with strain
- Parallel Transport of Electrons in Graphene Parallels Gravity
- Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach
- Graphene properties from curved space Dirac equation
- Confining massless Dirac particles in two-dimensional curved space
- Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces
- Two-dimensional Dirac matter in the semiclassical regime