21 citations · 78 across the 15 of their papers we have counts for
15 papers
One-dimensional quasicrystals with tensor-network finite-state automata
Milla Kolehmainen, Jose L. Lado, Anouar Moustaj
Quasicrystals occupy a distinctive position between the translational order of crystals and the disordered amorphous matter. Simulating this physics has remained challenging, since…
Tensor network solvers for ultra-large tight-binding Hamiltonians: algorithms and applications
Tiago V. C. Antão, Anouar Moustaj, Yitao Sun +1
Understanding quantum materials at meso and even macroscopic scales requires tight-binding calculations on system sizes where explicit matrix representations become prohibitively c…
Tensor-network methodology for real-space super-moiré excitons
Anouar Moustaj, Yitao Sun, Tiago V. C. Antão +2
Computing excitonic spectra in quasicrystal and super-moiré systems constitutes a formidable challenge due to the exceptional size of the excitonic Hilbert space. Here, we demonstr…
Parity-dependent double degeneracy and spectral statistics in the projected dice lattice
Koushik Swaminathan, Anouar Moustaj, Jose L. Lado +1
We investigate the spectral statistics of an interacting fermionic system derived by projecting the Hubbard interaction onto the two lowest-energy, degenerate flat bands of the dic…
Tensor network approach to momentum-resolved spectroscopy in non-periodic super-moiré systems
Anouar Moustaj, Yitao Sun, Tiago V. C. Antão +1
Computing spectral functions in large, non-periodic super-moiré systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establi…
Latent Haldane Models
Anouar Moustaj, Lumen Eek, Malte Rontgen +1
Latent symmetries, which materialize after performing isospectral reductions, have recently been shown to be instrumental in revealing novel topological phases in one-dimensional s…
Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
E. Di Salvo, A. Moustaj, C. Xu +4
The interacting SSH model provides an ideal ground to study the interplay between topologically insulating phases and electron-electron interactions. We study the polarization dens…
Haldane model on the Sierpiński gasket
Zebedeus Osseweijer, Lumen Eek, Anouar Moustaj +2
We investigate the topological phases of the Haldane model on the Sierpiński gasket. As a consequence of the fractal geometry, multiple fractal gaps arise. Additionally, a flat ban…
Higher-order topology protected by latent crystalline symmetries
L. Eek, M. Röntgen, A. Moustaj +1
We demonstrate that rotation symmetry is not a necessary requirement for the existence of fractional corner charges in Cn-symmetric higher-order topological crystalline insulators.…
Anomalous Polarization in One-dimensional Aperiodic Insulators
A. Moustaj, J. P. J. Krebbekx, C. Morais Smith
By implementing a charge pumping scheme for one-dimensional aperiodic chains, we confirm the existence of topological phases in these systems whenever their finite-size realization…
Emergent non-Hermitian models
Lumen Eek, Anouar Moustaj, Malte Röntgen +3
The Hatano-Nelson and the non-Hermitian Su-Schrieffer-Heeger model are paradigmatic examples of non-Hermitian systems that host non-trivial boundary phenomena. In this work, we use…
Multifractal Properties of Tribonacci Chains
Julius Krebbekx, Anouar Moustaj, Karma Dajani +1
We introduce two 1D tight-binding models based on the Tribonacci substitution, the hopping and on-site Tribonacci chains, which generalize the Fibonacci chain. For both hopping and…
Spectral Properties of Two Coupled Fibonacci Chains
Anouar Moustaj, Malte Röntgen, Christian V. Morfonios +2
The Fibonacci chain, i.e., a tight-binding model where couplings and/or on-site potentials can take only two different values distributed according to the Fibonacci word, is a clas…
Field Theoretical Study of Disorder in Non-Hermitian Topological Models
Anouar Moustaj, Lumen Eek, Cristiane Morais Smith
Non-Hermitian systems have provided a rich platform to study unconventional topological phases.These phases are usually robust against external perturbations that respect certain s…
Effects of Disorder in the Fibonacci Quasicrystal
Anouar Moustaj, Sander Kempkes, Cristiane Morais Smith
We study the properties of the one-dimensional Fibonacci chain, subjected to the placement of on-site impurities. The resulting disruption of quasiperiodicity can be classified in…