10 papers
Real space decay of flat band projectors from compact localized states
Yeongjun Kim, Sergej Flach, Alexei Andreanov
Flatbands (FB) with compact localized eigenstates (CLS) fall into three main categories, controlled by the algebraic properties of the CLS set: orthogonal, linearly independent, li…
Nematic Phase Transitions in 1D Flat Band Condensates
Yeongjun Kim, Oleg I. Utesov, Alexei Andreanov +2
We investigate the ground-state properties of one-dimensional Gross-Pitaevskii flat-band lattices which are parametrized through their compact localized state (CLS) amplitudes. We…
Spectral Topology and Delocalization in Disordered Hatano-Nelson Chains
Supriyo Ghosh, Sergej Flach
The unidirectional Hatano-Nelson chain serves as the fundamental non-Hermitian building block of the Su-Schrieffer-Heeger (SSH) model. We investigate its Anderson localization prop…
Synchronization-induced flat bands in driven-dissipative dimer-waveguide chains
A. N. Osipov, I. G. Savenko, Sergej Flach +1
Flat bands in driven-dissipative systems offer a route to engineer strongly localized, long-lived excitations, yet their selective population via incoherent pumping remains an open…
Progress on artificial flat band systems: classifying, perturbing, applying
Carlo Danieli, Sergej Flach
We highlight recent progress in the study of artificial flat band systems with a threefold focus. First, we discuss single-particle flat band physics, which has advanced through th…
Compact localized currents in flat bands with broken time-reversal symmetry
Rohit Kishan Ray, Carlo Danieli, Alexei Andreanov +1
We develop a systematic framework for constructing all-bands-flat (ABF) lattice Hamiltonians that explicitly break time-reversal symmetry (TRS). By threading magnetic flux through…