64 citations · 280 across the 21 of their papers we have counts for
22 papers
Symmetric Mode Ansatz: Theory of Magnon Collective Modes in Chern Insulators
Miguel Gonçalves, Jonah Herzog-Arbeitman, Juan Felipe Mendez-Valderrama +3
Moiré materials host integer and fractional Chern insulators (FCIs) where time-reversal is broken spontaneously by flat band ferromagnetism. In twisted MoTe2, unlike in quantum Hal…
Spinless and spinful charge excitations in moiré Fractional Chern Insulators
Miguel Gonçalves, Juan Felipe Mendez-Valderrama, Jonah Herzog-Arbeitman +5
Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spon…
Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers
Zezhu Wei, Ang-Kun Wu, Miguel Gonçalves +1
Fractional Chern insulators (FCI) with fractionally quantized Hall conductance at fractional fillings and an extended quantum anomalous Hall (EQAH) crystal with an integer quantize…
Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
Miguel Gonçalves, Shi-Zeng Lin
Doping carriers into a correlated quantum ground state offers a promising route to generate new quantum states. The recent advent of moiré superlattices provided a versatile platfo…
Quasiperiodic Quadrupole Insulators
Raul Liquito, Miguel Gonçalves, Eduardo V. Castro
Higher-order topological insulators are an intriguing new family of topological states that host lower-dimensional boundary states. Concurrently, quasiperiodic systems have garnere…
Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
João S. Silva, Miguel Gonçalves, Eduardo V. Castro +2
Weyl nodal loop semimetals are gapless topological phases that, unlike their insulator counterparts, may be unstable to small perturbations that respect their topology-protecting s…
Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
Miguel Gonçalves
We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical…
Fractal Quasicondensation in One Dimension
Flavio Riche, Miguel Gonçalves, Bruno Amorim +2
We unveil a novel mechanism for quasicondensation of hard-core bosons in the presence of quasiperiodicity-induced multifractal single-particle states. The new critical state, here…
Fate of Quadratic Band Crossing under quasiperiodic modulation
Raul Liquito, Miguel Gonçalves, Eduardo V. Castro
We study the fate of two-dimensional quadratic band crossing topological phases under a one-dimensional quasiperiodic modulation. By employing numerically exact methods, we fully c…
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…
Incommensurability enabled quasi-fractal order in 1D narrow-band moiré systems
Miguel Gonçalves, Bruno Amorim, Flavio Riche +2
We demonstrate that quasiperiodicity can radically change the ground state properties of 1D moiré systems with respect to their periodic counterparts. By studying an illustrative e…
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.…
Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
Ricardo Oliveira, Miguel Gonçalves, Pedro Ribeiro +2
We show that quasiperiodicity can enhance superconductivity in one-dimensional narrow-band systems with s-wave pairing. Using a generalized Aubry-André-Harper model featuring quasi…
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…
Instability of QBC systems to Topological Anderson Insulating phases
Nicolau Sobrosa, Miguel Gonçalves, Eduardo V. Castro
Here we study the instabilities of a quadratic band crossing system to Chern insulating states and uncorrelated disorder. We determined the phase diagram in the plane of topologica…
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…
Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
Miguel Gonçalves, Hadi Z. Olyaei, Bruno Amorim +3
We study the localization properties of electrons in incommensurate twisted bilayer graphene for small angles, encompassing the narrow-band regime, by numerically exact means. Sub-…
Disorder driven multifractality transition in Weyl nodal loops
Miguel Gonçalves, Pedro Ribeiro, Eduardo V. Castro +1
The effect of short-range disorder in nodal line semimetals is studied by numerically exact means. For arbitrary small disorder, a novel semimetallic phase is unveiled for which th…
Dirac points merging and wandering in a model Chern insulator
Miguel Gonçalves, Pedro Ribeiro, Eduardo V. Castro
We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physic…
Temperature-driven gapless topological insulator
Miguel Gonçalves, Pedro Ribeiro, Rubem Mondaini +1
We investigate the phase diagram of the Haldane-Falicov-Kimball model -- a model combining topology, interactions and spontaneous disorder at finite temperatures. Using an unbiased…