2 papers
cond-mat.mes-hall2026
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…
gr-qc2025
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…