73 citations · 251 across the 19 of their papers we have counts for
20 papers
Topological characterization of multifold band degeneracies in Altland-Zirnbauer symmetry classes
Askar Iliasov, Zoltán Guba, Tsuneya Yoshida +2
Topological degeneracies of energy bands in crystalline matter are conventionally characterized by invariants computed on an enclosing sphere over which the spectrum remains gapped…
Universal aspects of bulk density of states in non-Hermitian lattices
Mykhailo Pavliuk, Askar Iliasov, Emil J. Bergholtz +1
Non-Hermitian lattice Hamiltonians generally exhibit strong boundary sensitivity, with periodic and open boundary conditions producing distinct density of states (DOS) in the compl…
Topological states and flat bands in exactly solvable decorated Cayley trees
Wanda P. Duss, Askar Iliasov, Tomáš Bzdušek
We derive the full spectrum of decorated Cayley trees that constitute tree analogs of selected two-dimensional Euclidean lattices; namely of the Lieb, the double Lieb, the kagome,…
Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory
Mykhailo Pavliuk, Tomáš Bzdušek, Askar Iliasov
We investigate -wave superconductivity in negatively curved geometries, focusing on Cayley trees and the hyperbolic plane. Using a self-consistent Bogoliubov-de Gennes approach…
Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
Vladimir Bashmakov, Askar Iliasov, Tomáš Bzdušek +1
We study -wave superconductivity in hyperbolic spaces using the Bogoliubov-de Gennes theory for discrete hyperbolic lattices and the Ginzburg-Landau theory for the continuous hy…
Multifractal statistics of non-Hermitian skin effect on the Cayley tree
Shu Hamanaka, Askar A. Iliasov, Titus Neupert +2
Multifractal analysis is a powerful tool for characterizing the localization properties of wave functions. Despite its utility, this tool has been predominantly applied to disorder…
Wave functions in the Critical Phase: a Planar \textit{Sierpiński} Fractal Lattice
Qi Yao, Xiaotian Yang, Askar A. Iliasov +2
Electronic states play a crucial role in many quantum systems of moire superlattices, quasicrystals, and fractals. As recently reported in \textit{Sierpiński} lattices [Phys. Rev.…
Strong enhancement of superconductivity on finitely ramified fractal lattices
Askar A. Iliasov, Robert Canyellas, Mikhail I. Katsnelson +1
Using the Sierpinski gasket (triangle) and carpet (square) lattices as examples, we theoretically study the properties of fractal superconductors. For that, we focus on the phenome…
Local quenches in fracton field theory: Lieb-Robinson bound, non-causal dynamics and fractal excitation patterns
Dmitry S. Ageev, Andrey A. Bagrov, Aleksandr I. Belokon +3
We study the out-of-equilibrium dynamics induced by a local perturbation in fracton field theory. For the and -symmetric free fractonic theories, we…
Unveiling Topological Modes on Curved Surfaces
Dmitry S. Ageev, Askar A. Iliasov
In this paper, we investigate topological modes of different physical systems defined on arbitrary two-dimensional curved surfaces. We consider the shallow water equations, inhomog…
Level-spectra Statistics in Planar Fractal Tight-Binding Models
Qi Yao, Xiao-Tian Yang, Askar A. Iliasov +2
In this communication, we study the level-spectra statistics when a noninteracting electron gas is confined in \textit{Sierpiński Carpet} (\textit{SC}) lattices. These \textit{SC}…
Certification of quantum states with hidden structure of their bitstrings
O. M. Sotnikov, I. A. Iakovlev, A. A. Iliasov +3
The rapid development of quantum computing technologies already made it possible to manipulate a collective state of several dozen of qubits. This success poses a strong demand on…
Kinetic samplers for neural quantum states
Andrey A. Bagrov, Askar A. Iliasov, Tom Westerhout
Neural quantum states (NQS) are a novel class of variational many-body wave functions that are very flexible in approximating diverse quantum states. Optimization of an NQS ansatz…
Linearized spectral decimation in fractals
Askar A. Iliasov, Mikhail I. Katsnelson, Shengjun Yuan
In this article we study the energy level spectrum of fractals which have block-hierarchical structures. We develop a method to study the spectral properties in terms of linearizat…
Deterministic chaos and fractal entropy scaling in Floquet CFT
Dmitry S. Ageev, Andrey A. Bagrov, Askar A. Iliasov
In this paper, we study 2d Floquet conformal field theory, where the external periodic driving is described by iterated logistic or tent maps. These maps are known to be typical ex…
Coleman-Weinberg potential in -adic field theory
Dmitry S. Ageev, Andrey A. Bagrov, Askar A. Iliasov
In this paper, we study scalar field theory defined on the unramified extension of p-adic numbers . For different ``space-time'' dimensions , we comput…
Multi-scale structural complexity of natural patterns
Andrey A. Bagrov, Ilia A. Iakovlev, Askar A. Iliasov +2
Complexity of patterns is a key information for human brain to differ objects of about the same size and shape. Like other innate human senses, the complexity perception cannot be…
Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices
Askar Iliasov, Andrey A. Bagrov, Mikhail I. Katsnelson +1
We analyze fermionic response of strongly correlated holographic matter in presence of inhomogeneous periodically modulated potential mimicking the crystal lattice. The modulation…
Hall conductivity of Sierpinski carpet
Askar A. Iliasov, Mikhail I. Katsnelson, Shengjun Yuan
We calculate the Hall conductivity of a Sierpinski carpet using Kubo-Bastin formula. The quantization of Hall conductivity disappears when we increase the depth of the fractal. The…
Power-law energy level-spacing distributions in fractals
Askar A. Iliasov, Mikhail I. Katsnelson, Shengjun Yuan
In this article we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy-level distribution of a fractal follows a power-law behaviou…