143 citations · 446 across the 36 of their papers we have counts for
17 papers · 1 filter
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…
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…
Realization and characterization of an all-bands-flat electrical lattice
Noah Lape, Simon Diubenkov, L. Q. English +4
We construct an electrical all-bands-flat (ABF) lattice and experimentally generate compact localized states (CLSs) therein. The lattice is a diamond (rhombic) chain and implemente…
Symmetry-protected flatband condition for Hamiltonians with local symmetry
Jung-Wan Ryu, Alexei Andreanov, Hee Chul Park +1
We derive symmetry-based conditions for tight-binding Hamiltonians with flatbands to have compact localized eigenstates occupying a single unit cell. The conditions are based on un…
Compact Localized States in Electric Circuit Flatband Lattices
Carys Chase-Mayoral, L. Q. English, Yeongjun Kim +5
We generate compact localized states in an electrical diamond lattice, comprised of only capacitors and inductors, via local driving near its flatband frequency. We compare experim…
Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
Yeongjun Kim, Tilen Čadež, Alexei Andreanov +1
We consider manifolds of tunable all-band flat (ABF) lattices in dimensions d = 1, 2, parametrized by a manifold angle parameter θ. We study localization properties of eigenstates…