786 citations · 5.7k across the 70 of their papers we have counts for
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Persistent homology analysis of a generalized Aubry-André-Harper model
Yu He, Shiqi Xia, Dimitris G. Angelakis +3
Observing critical phases in lattice models is challenging due to the need to analyze the finite time or size scaling of observables. We study how the computational topology techni…
Localization of weakly disordered flat band states
Daniel Leykam, Joshua D. Bodyfelt, Anton S. Desyatnikov +1
Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading…
Flat Bands Under Correlated Perturbations
Joshua D. Bodyfelt, Daniel Leykam, Carlo Danieli +2
Flat band networks are characterized by coexistence of dispersive and flat bands. Flat bands (FB) are generated by compact localized eigenstates (CLS) with local network symmetries…
Flat band states: disorder and nonlinearity
Daniel Leykam, Sergej Flach, Omri Bahat-Treidel +1
We study the critical behaviour of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder .…