23 citations · 41 across the 5 of their papers we have counts for
4 papers · 1 filter
Real space quantum metric of solids
Lucas A. Oliveira, Wei Chen
By applying the projector to the filled lattice eigenstates on a specific position, or applying the local electron annihilation operator on the many-body ground state, one can cons…
David regularity of the Yoccoz extension
Luna Lomonaco, Lucas Oliveira, Miguel Ratis Laude
A central problem in the study of critical circle dynamics is understanding the regularity of Yoccoz conjugators - circle homeomorphisms that conjugate critical circle maps with ir…
On the Uniqueness of the Norton-Sullivan Quasiconformal extension
José Afonso Barrionuevo, Felipe Gonçalves, José Victor Medeiros +1
We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in…
Robustness of topological order against disorder
Lucas A. Oliveira, Wei Chen
A universal topological marker has been proposed recently to map the topological invariants of Dirac models in any dimension and symmetry class to lattice sites. Using this topolog…