Haldane model on the Sierpiński gasket

ZF Osseweijer, L Eek, A Moustaj, M Fremling… - Physical Review B, 2024 - APS
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 band …

Latent Haldane Models

A Moustaj, L Eek, M Rontgen, CM Smith - arxiv preprint arxiv:2411.08202, 2024 - arxiv.org
Latent symmetries, which materialize after performing isospectral reductions, have recently
been shown to be instrumental in revealing novel topological phases in one-dimensional …

Fractality-induced Topology

L Eek, ZF Osseweijer, CM Smith - arxiv preprint arxiv:2411.12341, 2024 - arxiv.org
Fractal geometries, characterized by self-similar patterns and non-integer dimensions,
provide an intriguing platform for exploring topological phases of matter. In this work, we …

Topological Anderson insulators by latent symmetry

JR Lin, S Wang, H Li, ZW Zuo - arxiv preprint arxiv:2501.01666, 2025 - arxiv.org
Topological Anderson insulators represent a class of disorder-induced, nontrivial topological
states. In this study, we propose a feasible strategy to unveil and design the latent-symmetry …

Eigenmodes of latent-symmetric quantum photonic networks

J Himmel, M Ehrhardt, M Heinrich, M Röntgen… - arxiv preprint arxiv …, 2025 - arxiv.org
We investigate the impact of latent symmetries on the dynamics of photonic systems and
their eigenmodes. Residing solely within the eigenspectral domain, latent symmetries are …