22 citations · 26 across the 9 of their papers we have counts for
10 papers
Distributed Topological Charge and Spinorial Holonomy in Yukawa-Regularized Graphene Disclinations
A. M. de M. Carvalho, G. Q. Garcia, E. Brito +1
Conical geometries provide the standard description of disclinations, but they concentrate the curvature at a singular apex. We introduce a Yukawa-type regularization that replaces…
Elastic field causing noncommutativity
A. L. Silva Netto, A. M. de M. Carvalho, G. Q. Garcia +1
We study how a uniform torsion background, modeling a continuous density of screw dislocations and induces effective spatial noncommutativity and reshapes the energy spectrum of a…
Zero modes and geometric phase for 2D Weyl fermions on Lifshitz backgrounds
G. Q. Garcia, D. C. Moreira, E. Cavalcante +1
Here we investigate analytical properties of Weyl fermions in (2+1)-dimensional Lifshitz spacetimes. In particular, we are interested in obtaining geometric phases and verifying th…
Geometric Modeling of a Line of Alternating Disclinations: Application to Grain Boundaries in Graphene
A. M. de M. Carvalho, C. Furtado
We develop a conformal geometric model for grain boundaries in graphene based on a periodic line of alternating disclinations. Within the framework of (2+1)-dimensional gravity, we…
Geometric and Topological Aspects of Quadrupoles of Disclinations: Conformal Metrics and Self-Forces
A. M. de M. Carvalho, G. Q. Garcia, C. Furtado
We study the geometric and physical effects of quadrupolar configurations of disclinations using a conformal metric approach in dimensions. Two cases are considered: a line…
Contribution of Geometry and Non-Abelian Gauge Fields to Aharonov-Bohm Scattering of Massless Fermions in Graphene with Disclinations
M. J. Bueno, G. Q. Garcia, A. M. de M. Carvalho +1
This work examines the effect of disclinations on the scattering of quasipaticles in graphene with the presence of a topological defect. Using the tight-binding method, the electro…
Rotation effects on the graphene wormhole energy levels
G. Q. Garcia, P. J. Porfírio, C. Furtado +1
In this work, we are interested in how spinning effects influence the electronic properties of the graphene wormhole. For this purpose, we have described the graphene by the wormho…
Redshift as a stretching factor in rotating graphene wormholes
Everton Cavalcante, Claudio Furtado
In this paper, we discuss an extension of the geometric description of graphene wormholes in a non-inertial situation. We present an effective metric that describes the wormhole co…
Landau levels for massive disclinated graphene-based topological insulator
G. Q. Garcia, J. R. S. Oliveira, P. J. Porfírio +1
In this work, we investigate the massive Kane-Mele model for graphene in the presence of disclination and an external magnetic field, where graphene behaviors as a topological insu…
Graphene wormhole trapped by external magnetic field
G. Q. Garcia, P. J. Porfírio, D. C. Moreira +1
In this work we study the behavior of massless fermions in a graphene wormhole and in the presence of an external magnetic field. The graphene wormhole is made from two sheets of g…