9 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…