6 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…
Holonomic quantum computation on graphene from Atiyah-Singer index theorem
G. Q. Garcia, M. Dantas, A. Carvalho +1
We investigate the emergence of geometric phases in graphene-based nanostructures through the lens of the Atiyah-Singer index theorem. By modeling low-energy quasiparticles in curv…
Conformal Geometry and Regularization of Disclinations by a Cosmological Constant in Dimensions
A. Carvalho, C. Furtado
We investigate the effect of a cosmological constant on the geometry generated by a two-dimensional disclination in a conformal metric framework. For , we obtain an exac…
New Solutions for Topological Defects with Continuous Distributions:A Conformal Metric Perspective
A. M. de M. Carvalho, G. Q. Garcia, C. Furtado
We present new exact solutions for two-dimensional geometries generated by continuous distributions of topological defects within a conformal metric framework. By reformulating Ein…
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…