381 citations · 1.5k across the 43 of their papers we have counts for
7 papers · 1 filter
Temperature-induced optical enhancement near a localization transition
Raul Liquito, Miguel Gonçalves, Bruno Amorim +1
Quasiperiodic systems are an intermediate class of systems between periodic crystals and disordered systems, famously exhibiting metal-insulator transitions (MITs) even in one dime…
Local Density of States as a Probe of Multifractality in Quasiperiodic Moiré Materials
Ricardo Oliveira, Nicolau Sobrosa, Pedro Ribeiro +2
Quasiperiodic moiré materials provide a new platform for realizing critical electronic states, yet a direct and experimentally practical method to characterize this criticality has…
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.…
Topological phase transitions for any taste in 2D quasiperiodic systems
Tiago S. Gonçalves, Miguel Gonçalves, Pedro Ribeiro +1
In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them b…
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…
Hidden dualities in 1D quasiperiodic lattice models
Miguel Gonçalves, Bruno Amorim, Eduardo V. Castro +1
We find that quasiperiodicity-induced transitions between extended and localized phases in generic 1D systems are associated with hidden dualities that generalize the well-known du…