528 citations · 1.8k across the 61 of their papers we have counts for
15 papers · 1 filter
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…
Flat bands in tight-binding lattices with anisotropic potentials
Arindam Mallick, Alexei Andreanov
We consider tight-binding models on Bravais lattices with anisotropic onsite potentials that vary along a given direction and are constant along the transverse one. Inspired by our…
Machine learning wave functions to identify fractal phases
Tilen Cadez, Barbara Dietz, Dario Rosa +3
We demonstrate that an image recognition algorithm based on a convolutional neural network provides a powerful procedure to differentiate between ergodic, non-ergodic extended (fra…
Critical States Generators from Perturbed Flatbands
Sanghoon Lee, Sergej Flach, Alexei Andreanov
One-dimensional all-bands-flat lattices are networks with all bands being flat and highly degenerate. They can always be diagonalized by a finite sequence of local unitary transfor…
Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands
Sanghoon Lee, Alexei Andreanov, Sergej Flach
We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice models. Such networks can be diagonalized by a finite sequence of local unitary transfo…
Metal-insulator transition in infinitesimally weakly disordered flatbands
Tilen Cadez, Yeongjun Kim, Alexei Andreanov +1
We study the effect of infinitesimal onsite disorder on d-dimensional all bands flat lattices. The lattices are generated from diagonal Hamiltonians by a sequence of (d + 1) local…
Heat percolation in many-body flatband localizing systems
I. Vakulchyk, C. Danieli, Alexei Andreanov +1
Translationally invariant finetuned single-particle lattice Hamiltonians host flat bands only. Suitable short-range many-body interactions result in complete suppression of particl…
Multifractality of correlated two-particle bound states in quasiperiodic chains
Diana Thongjaomayum, Sergej Flach, Alexei Andreanov
We consider the quasiperiodic Aubry-André chain in the insulating regime with localised single-particle states. Adding local interaction leads to the emergence of extended correlat…
Taming two interacting particles with disorder
Diana Thongjaomayum, Alexei Andreanov, Thomas Engl +1
We compute the scaling properties of the localization length of two interacting particles in a one-dimensional chain with diagonal disorder, and the connectivity properties o…
Avalanches and hysteresis in frustrated superconductors and XY-spin-glasses
Auditya Sharma, Alexei Andreanov, Markus Mueller
We study avalanches along the hysteresis loop of long-range interacting spin-glasses with continuous XY-symmetry - which serves as a toy model of granular superconductors with long…
Localization of spin waves in disordered quantum rotors
Alexei Andreanov, Andrei A. Fedorenko
We study the dynamics of excitations in a system of quantum rotors in the presence of random fields and random anisotropies. Below the lower critical dimension $d_{\mathrm{l…
Competing Antiferromagnetic and Spin-Glass Phases in a Hollandite Structure
Y. Crespo, A. Andreanov, N. Seriani
We introduce a simple lattice model with Ising spins to explain recent experimental results on spin freezing in a hollandite-type structure. We argue that geometrical frustration o…
Collective excitations and marginal stability of quantum Ising spin glasses
Alexei Andreanov, Markus Mueller
We solve the Sherrington-Kirkpatrick (SK) model in a transverse field Γdeep in its quantum glass phase at zero temperature. We show that the glass phase is critical everywhere, exh…
Spin glass transition in geometrically frustrated antiferromagnets with weak disorder
A. Andreanov, J. T. Chalker, T. E. Saunders +1
We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models…
Large deviations in spin-glass ground-state energies
A. Andreanov, F. Barbieri, O. C. Martin
The ground-state energy E_0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins…