12 papers
On flat bands in the -- XXZ sawtooth chain
Vadim Ohanyan, Johannes Richter, Michael Sekania +3
We consider a generalization of the XXZ model on the sawtooth spin chain with Dzyaloshinskii-Moriya interactions in which all exchange constants (symmetric, antisymmetric, and axia…
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…
Solving Lévy Sachdev-Ye-Kitaev Model
Budhaditya Bhattacharjee, William. E. Salazar, Alexei Andreanov +1
We present an exact solution in the large- limit of the Lévy Sachdev-Ye-Kitaev (LSYK) model introduced in Ref. [1], wherein the couplings are drawn from a Lévy Stable distribu…
Localization--non-ergodic transition in controllable-dimension fractal networks from diffusion-limited aggregation
Oleg I. Utesov, Alexei Andreanov, Tomasz Bednarek +2
Our study connects the physics of disordered integer-dimensional systems and regular self-similar objects by studying spectral properties of fractal agglomerates with tunable dimen…
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…
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…