4 papers
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 exact…
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…
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…
Spinor fields on the bulk and on compactified dimensions
K. P. S. de Brito
This work has as the main aim to explore the nature of the fermionic fields, through a classification of spinor fields about physical space of interest, such as the bulk and the co…