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Mobility Edge in the Anderson Model on Partially Disordered Random Regular Graphs
JETP Letters. 2022. Vol. 116. No. 6. P. 398–404.
O. Valba, Gorsky A.
We study numerically the Anderson model on partially disordered random regular graphs considered as the toy model for a Hilbert space of interacting disordered many-body system. The protected subsector of zero-energy states in a many-body system corresponds to clean nodes in random regular graphs ensemble. Using adjacent gap ratio statistics and inverse participation ratio we find the sharp mobility edge in the spectrum of one-particle Anderson model above some critical density of clean nodes. Its position in the spectrum is almost independent on the disorder strength. The possible application of our result for the controversial issue of mobility edge in the many-body localized phase is discussed.
Publication based on the results of:
Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...
Added: October 1, 2026
A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545
We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using
irreducible representations of the Karasev–Novikova algebra with quadratic commutation
relations. We find the asymptotics of a series of eigenvalues and the corresponding
asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...
Added: October 1, 2026
Obraztsova Anna, Fominykh Nikita, Komarov Sergey et al., Applied Physics Letters 2026 Vol. 129 Article 132110
Miniaturization of edge-emitting quantum-dot lasers is hampered by increased mirror losses in ultra-short Fabry–Perot cavities and limited modal gain of quantum dots (QDs). Here, we demonstrate electrically injected InGaAs/GaAs quantum-dot stripe lasers with an 8-lm stripe width and focused-ion-beam (FIB)-etched mirrors defining cavity lengths from 300 to 77 lm. The laser cavities were fabricated using ...
Added: September 30, 2026
Melnikov I., Pelinovsky E., Доклады Российской академии наук. Физика, технические науки (ранее - Доклады Академии Наук. Физика) 2026 Т. 529 С. 29–36
Conditions for the emergence of pyramidal solitary waves (solitary waves possessing more than two inflection points) are presented for a family of generalized Korteweg – de Vries (KdV) equations. For the generalized Gardner equation, it is shown that pyramidal solitons are unstable. The decay of initial perturbations close to pyramidal solitary waves is demonstrated numerically. ...
Added: September 29, 2026
Kartsev A., Васильев Д. А., Kushchuk L. et al., Materials Today Communications 2026
Amorphous carbon coatings, including diamond-like carbon (DLC), exhibit a wide range of structural and mechanical properties governed by the local bonding topology (the sp2/sp3 ratio), as well as by deposition conditions and substrate material. Recently, machine-learning interatomic potentials trained predominantly on density functional theory (DFT) reference data have significantly advanced multiscale modeling of amorphous carbon ...
Added: September 28, 2026
The Search of the Process e+e−→(ω, ρ)→ηe+e− at 680–820 MeV c.m. Energy Range with the CMD-3 Detector
A. K. Narvatkina, Physics of Atomic Nuclei 2025 Vol. 88 No. 4 P. 386–393
We report a search for the rare Dalitz decays ω → ηe+e− and ρ → ηe+e− using data from the CMD-3 detector at the VEPP-2000 e+e− collider. These decays probe the electromagnetic structure of vector mesons and test the Vector Dominance Model (VDM) in low-energy QCD. A blind analysis technique, combined with kinematic constraints and ...
Added: September 28, 2026
Fominykh N., Stegailov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 115132
The enigmatic puzzle of the Verwey transition in magnetite Fe3O4 has been unresolved for almost a century. We present an ab initio-based model of the polaron transport combining kinetic Monte Carlo and molecular dynamics calculations to directly describe the coupling of polarons with lattice vibrations. Contrary to the Ihle-Lorenz small-polaron model, we find no significant ...
Added: September 28, 2026
Piliugin L., Antropov A., Lobashev E. et al., Journal of Nuclear Materials 2026 Vol. 632 Article 156876
The effects of dislocations on the mobility of gas nanobubbles pinned to them are considered as novel unex- plored mechanisms of accelerated fission gas release and investigated using classical molecular dynamics of helium bubbles in FCC aluminum. Non-equilibrium methods are developed to calculate the mobility of a pinned bubble both along and across the dislocation ...
Added: September 28, 2026
Teregulov T., Loubenets E. R., / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Щербинин С. А., Корзникова Е. А., Дмитриев С. В. et al., Physics Letters A 2026 Vol. 591 Article 131884
In this work, a simple genetic algorithm (GA) is used to find and characterize different QBs in a 𝛽-FPUT chain. By considering the space of initial particle displacements as a global optimization landscape, GA maximizes the energy localization function by automatically evolving candidate states toward highly localized long-lived solutions without a priori symmetry assumptions. 200 ...
Added: September 28, 2026
Vergeles S. S., Vointsev I., Physics of Fluids 2026 Vol. 38 P. 024117-1–024117-8
We analytically consider the problem of the Langmuir instability. The instability describes emergence of transverse modulation of horizontal current with vertical shear, when it is superimposed on surface wave co-directional with the flow. Compared to the Craik–Leibovich scheme, we account for the scattering of surface wave on the modulated current, which is significant if the ...
Added: September 26, 2026
Frolov N. Y., Klokov A. Y., Sharkov A. I. et al., Applied Physics Letters 2026 Vol. 128 P. 092201-1–092201-5
Understanding the properties of two-dimensional material interfaces with the substrate is necessary for device applications. Surface acoustic wave propagation through a layered material flake on a substrate could provide unique information on the transverse rigidity of the flake-to-substrate interaction. Ultrasonic waves were generated by a focused femtosecond laser pulse at the surface of a model ...
Added: September 26, 2026
Войтович В. И., Makhov I., Мельниченко И. А. et al., Optics Letters 2026 Vol. 51 No. 17 P. 4872–4875
The influence of cavity surface passivation with SiO2 coating deposited by the plasma-enhanced chemical vapor deposition technique is investigated for injection microdisk lasers with an InGaAsN/GaAs quantum well active region. The electroluminescence spectra of the microdisk lasers with cavity diameters ranging from 12 to 32 μm with and without sidewall surface passivation were studied for a ...
Added: September 25, 2026
Бабичев А. В., Makhov I., Kryzhanovskaya N. et al., Оптика и спектроскопия 2026 Т. 134 № 3 С. 272–277
Представлены результаты по реализации генерации при повышенных температурах в лазерах с длиной волны генерации 980 nm на основе вертикального микрорезонатора с использованием непоглощающих на длине волны оптической накачки зеркал. Минимальная пороговая мощность накачки составила ~0.8 mW и соответствовала температуре 150 K. Добротность микрорезонатора, определенная на пороге генерации, превысила 13000. Максимальная рабочая температура микролазера составила 195 ...
Added: September 25, 2026
Бабичев А. В., Makhov I., Kryzhanovskaya N. et al., Письма в Журнал технической физики 2026 Т. 52 № 12 С. 40–43
Реализована одночастотная генерация при 300 K в лазерах на основе вертикального микрорезонатора. Для лазеров с полупроводниковым выводным зеркалом пороговая плотность мощности накачки составила 6.5 kW/cm2. Добротность микрорезонатора и длина волны излучения, определенные на пороге генерации, равнялись 8800 и ~ 959.8 nm. Применение конструкции микрорезонатора с гибридным выводным зеркалом позволило повысить добротность микрорезонатора (до 12 360) ...
Added: September 25, 2026
Бабичев А. В., Makhov I., Kryzhanovskaya N. et al., Письма в Журнал технической физики 2026 Т. 52 № 18 С. 30–34
Представлены результаты реализации генерации при комнатной температуре в планарных вертикальных микрорезонаторах на основе зеркал Al0.2Ga0.8As/Al0.9Ga0.1As. При 300 K пороговая плотность мощности и добротность на пороге генерации составили 11.4± 0.7 kW/cm2 и 5070± 160 соответственно. Двукратное превышение порога генерации привело к увеличению добротности микрорезонатора до 19 000. Эффективный латеральный теплоотвод подтвержден малым сдвигом энергии кванта, который составил ...
Added: September 25, 2026
Budkov Y., Kiselev M. G., Journal of Chemical Physics 2026 Vol. 165 No. 12 Article 124508
We develop a three-mode statistical-mechanical theory for a two-conformer
solute in a near-critical solvent. A compressible lattice model with
vacancies yields the Gaussian free-energy functional for a critical conserved
density, an orthogonal noncritical conserved mode, and the local conformer
fraction. Their couplings follow from packing and cohesive interactions,
rather than being introduced phenomenologically. Kawasaki transport of the
two conserved fields and ...
Added: September 24, 2026
Корзникова Е. А., Babicheva R. I., Davletbakov A. A. et al., JOURNAL OF MATERIALS SCIENCE: MATERIALS IN ENGINEERING 2026 Vol. 21 Article 84
The influence of crack position and its size on short-range ordering (SRO) and high-temperature cyclic deformation behavior of refractory high-entropy alloy (RHEA) HfNbTiZr using bicrystal models has been investigated by combined Monte-Carlo (MC) and molecular dynamics (MD) simulations. It was revealed that the SRO process is affected not only by the crack size, namely the ...
Added: September 24, 2026
Корзникова Е. А., Mukhametov A., Samikov I. et al., Computational Condensed Matter 2026 Vol. 47 Article e01295
Aluminium (Al)- and copper (Cu)-based alloys may corrode in harsh environments. This occurs because corrosion ions penetrate into the intergranular structures and react with the atoms of the host matrix at the grain boundaries (GBs). Therefore, elucidating atomic-level mechanisms at GBs is critical for enhancing Al/Cu corrosion resistance upon penetration of corrosion ions, such as ...
Added: September 24, 2026
Bobyleva A., Gorsky A., Nechaev S. et al., Network Neuroscience 2025 Vol. 9 No. 2 P. 682–711
We explore the fundamental principles underlying the architecture of the human brain’s structural connectome through the lens of spectral analysis of Laplacian and adjacency matrices. Building on the idea that the brain balances efficient information processing with minimizing wiring costs, our goal is to understand how the metric properties of the connectome relate to the ...
Added: September 16, 2025
Kochergin D., Khaymovich I., Valba O. V. et al., SCIPOST PHYSICS 2024 Vol. 16 No. 4 Article 106
In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction ββ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in a certain range of parameters (d,ββ) at infinitely ...
Added: November 15, 2024
Babkin S. S., I. S. Burmistrov, Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 108 No. 20 Article 205429
Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all 10 symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been extended to boundaries of critical disordered noninteracting systems. Here we study the generalized boundary multifractality in the presence of electron-electron interaction, focusing on the spin ...
Added: January 29, 2024
Kurlov D., Bakhovadinov M., Matveenko S. et al., Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 107 No. 184202
We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion (t−0 model) in the presence of disorder. Our analytical treatment demonstrates that the type of disorder drastically changes the nature of the emerging phases. The case of spin-independent disorder can be treated as a single-particle problem with Anderson localization. On the ...
Added: October 10, 2023
Kochergin D., Khaymovich I., Olga Valba et al., Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 108 No. 9 Article 094203
We consider the properties of the random regular graph with node degree d perturbed by chemical potentials μk for a number of short k-cycles. We analyze both numerically and analytically the phase diagram of the model in the (μk,d) plane. The critical curve separating the homogeneous and clusterized phases is found and it is demonstrated that the clusterized phase itself generically is ...
Added: September 19, 2023