54 Citations
Conformal symmetry and vortices in graphene Institute of Particle and Nuclear Physics
- Physics
- 2019
This study provides an introductory insight into the complex field of graphene and its relativistic-like behaviour. The thesis is opened by an overview to this topic and draws special attention to…
Generalized Dirac structure beyond the linear regime in graphene
- PhysicsInternational Journal of Modern Physics D
- 2018
We show that a generalized Dirac structure survives beyond the linear regime of the low-energy dispersion relations of graphene. A generalized uncertainty principle of the kind compatible with…
Gravitational Waves and Helicity in Undoped Graphene
- PhysicsAnnalen der Physik
- 2020
The behavior of a monolayer undoped graphene sheet in presence of a weak gravitational wave is discussed. In the low‐energy limit, the linear dispersion of the energy levels near the Dirac points can…
The Aharonov?Bohm?Coulomb problem in a graphene ring
- Physics
- 2012
We study the Aharonov–Bohm–Coulomb problem in a graphene ring. We investigate, in particular, the effects of a Coulomb-type potential of the form ξ/r on the energy spectrum of Dirac electrons in the…
Analog hep-th, on Dirac materials and in general
- Physics
- 2020
The work of our group on reproducing scenarios of high energy theoretical physics on Dirac materials, like graphene, is illustrated. The main goal of this paper is to explain how versatile these…
Graphene, Dirac equation and analogue gravity
- PhysicsPhysica Scripta
- 2022
We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit…
Wave function of perturbed Hamiltonian in graphene
- Physics, MathematicsInternational Journal of Geometric Methods in Modern Physics
- 2020
In this paper, we use the generalized Dirac structure beyond the linear regime of graphene. This is probed using the a deformation of the Dirac structure in graphene by the generalized uncertainty…
Graphene: QFT in curved spacetimes close to experiments
- Physics
- 2013
A recently proposed step-by-step procedure, to merge the low-energy physics of the π-bonds electrons of graphene, and quantum field theory on curved spacetimes, is recalled. The last step there is…
Applications of the potential algebras of the two-dimensional Dirac-like operators
- Mathematics, Physics
- 2012
References
SHOWING 1-10 OF 59 REFERENCES
Electronic transport in two-dimensional graphene
- Physics
- 2011
We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene…
Graphene with geometrically induced vorticity.
- PhysicsPhysical review letters
- 2008
It is explicitly demonstrated that in the presence of a geometrically induced gauge field an everywhere-real Kekulé modulation of the hopping matrix elements can correspond to a nonreal Higgs field with nontrivial vorticity.
The structure of suspended graphene sheets
- PhysicsNature
- 2007
These studies by transmission electron microscopy reveal that individual graphene sheets freely suspended on a microfabricated scaffold in vacuum or air are not perfectly flat: they exhibit intrinsic microscopic roughening such that the surface normal varies by several degrees and out-of-plane deformations reach 1 nm.
Charge inhomogeneities due to smooth ripples in graphene sheets
- Physics
- 2007
We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's…
Spin and the honeycomb lattice: lessons from graphene.
- PhysicsPhysical review letters
- 2011
This identification explains the suppression of electron backscattering in carbon nanotubes and the angular dependence of light absorption by graphene and demonstrates that half-integer spin like that carried by the quarks and leptons can derive from hidden substructure, not of the particles themselves, but rather of the space in which these particles live.
Intrinsic ripples in graphene.
- PhysicsNature materials
- 2007
It is found that ripples spontaneously appear owing to thermal fluctuations with a size distribution peaked around 80 A which is compatible with experimental findings and might be due to the multiplicity of chemical bonding in carbon.
Electron fractionalization for two-dimensional Dirac fermions
- Physics
- 2008
Fermion-number fractionalization without breaking of time-reversal symmetry was recently demonstrated for a field theory in (2 + 1)-dimensional space and time that describes the couplings between…
Chiral gravity, log gravity, and extremal CFT
- Physics
- 2010
We show that the linearization of all exact solutions of classical chiral gravity around the ${\mathrm{AdS}}_{3}$ vacuum have positive energy. Nonchiral and negative-energy solutions of the…
Electron density distribution and screening in rippled graphene sheets
- Physics
- 2010
Single-layer graphene sheets are typically characterized by long-wavelength corrugations (ripples) which can be shown to be at the origin of rather strong potentials with both scalar and vector…