13 citations · 37 across the 9 of their papers we have counts for
9 papers
Chiral-symmetry breaking and degeneracy in Koch fractal geometries
L. L. Lage, A. Latgé
Fractal geometries provide a distinctive platform for controlling quantum interference, topology, and localization. We investigate the Su--Schrieffer--Heeger (SSH) model constructe…
Staggered orbital magnetization from itinerant electrons: orbital antiferro- and ferrimagnetic phases
Lucas L. Lage, Kevin J. U. Vidarte, Tarik P. Cysne +3
Because electronic orbital angular momentum in solids is inherently non-local, its contribution to magnetism is usually cast in terms of a net orbital magnetization. Here, we show…
Topology as a Design Variable for Multiproperty Engineering in Synthesized 4-5-6-8 Carbon Nanoribbons
Djardiel da S. Gomes, Isaac M. Felix, Lucas L. Lage +3
Nonbenzenoid carbon frameworks expand low-dimensional material design via controlled asymmetry. Here, we show the experimentally realized 4-5-6-8 carbon nanoribbon establishes a to…
Orbital magnetization in Sierpinski fractals
L. L. Lage, Tarik. P. Cysne, A. Latgé
Orbital magnetization (OM) in Sierpinski carpet (SC) and triangle (ST) fractal is theoretically investigated by using Haldane model as a prototypical example. The OM calculation is…
Emergent Hierarchy in Localized States of Organic Quantum Chains
L. L. Lage, A. B. Félix, D. S. Gomes +2
Organic Quantum Chains (OQCs) represent a newly synthesized class of carbon-based nanostructures whose quasi-one-dimensional nature gives rise to unconventional electronic and tran…
Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
L. L. Lage, A. B. Félix, S. dos A. Sousa-Júnior +2
We study the spectral properties and local topology of the Kane-Mele-Rashba model on a Sierpinski Carpet (SC) fractal, constructed from a rectangular flake with an underlying honey…
Robustness of type-II Dirac cones in biphenylene-based structures
L. L. Lage, O. Arroyo-Gascón, Leonor Chico +1
The electronic properties of one- and two-dimensional biphenylene-based systems, such as nanoribbons and bilayers, are studied within a unified approach. Besides the bilayer with d…
Corner and Edge States in Topological Sierpinski Carpet Systems
L. L. Lage, N. C. Rappe, A. Latgé
Fractal lattices, with their self-similar and intricate structures, offer potential platforms for engineering physical properties on the nanoscale and also for realizing and manipu…
Electronic fractal patterns in building Sierpinski-triangles molecular systems
L. L. Lage, A. Latge
The Sierpinski Triangle (ST) is a fractal mathematical structure that has been used to explore the emergence of flat bands in lattices of different geometries and dimensions in con…