253 citations · 2k across the 74 of their papers we have counts for
8 papers · 1 filter
Quasiperiodicity hinders ergodic Floquet eigenstates
Miguel Gonçalves, Pedro Ribeiro, Ivan M. Khaymovich
Quasiperiodic systems in one dimension can host non-ergodic states, e.g. localized in position or momentum. Periodic quenches within localized phases yield Floquet eigenstates of t…
Third-order topological insulator induced by disorder
Hugo Lóio, Miguel Gonçalves, Pedro Ribeiro +1
We have found the first instance of a third-order topological Anderson insulator (TOTAI). This disorder-induced topological phase is gapped and characterized by a quantized octupol…
Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
Miguel Gonçalves, Jedediah H. Pixley, Bruno Amorim +2
We show that short-range interactions are irrelevant around gapless ground-state delocalization-localization transitions driven by quasiperiodicity in interacting fermionic chains.…
Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
João Silva, Miguel A. N. Araújo, Miguel Gonçalves +2
The effect of Anderson diagonal disorder on the topological surface (``drumhead'') states of a Weyl nodal loop semimetal is addressed. Since diagonal disorder breaks chiral symmetr…
Critical phase dualities in 1D exactly-solvable quasiperiodic models
Miguel Gonçalves, Bruno Amorim, Eduardo V. Castro +1
We propose a solvable class of 1D quasiperiodic tight-binding models encompassing extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting cases i…
Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
Miguel Gonçalves, Bruno Amorim, Eduardo V. Castro +1
We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the uni…