Fractional shot noise of an SU(N) Kondo system

• Damian Krychowski and
• Stanisław Lipiński

Beilstein J. Nanotechnol. 2026, 17, 515–540, doi:10.3762/bjnano.17.34

• systems. We address our calculations to multilevel two-dimensional electron gas (2DEG) quantum dots [49] and to single-walled and multiwalled carbon nanotube QDs [50][51]. It is worth mentioning that these symmetries are of a fundamental nature and concern systems from various, sometimes very distant

• fluctuations. Therefore, this method cannot be used for analysis of nonlinear noise and non-diagonal susceptibilities. One way to solve this problem is to perform tedious calculations of fluctuations of boson fields around the saddle point [89][90]. The role of interaction beyond mean-field approximation can

• , the presented study is an analysis based on FL theory with quasiparticles defined within SBMFA. To extend the calculations for high voltages, we went beyond MFA description of slave bosons and determined the auxiliary bosons in a self-consistent procedure including FL corrections. We illustrated

Probing internal continua and atomic ultrafast charge transfer within size-controlled nanoparticles by post-collision interaction in core-hole clock spectroscopy

• Johannes Lütgert,
• Erika Giangrisostomi,
• Nomi L. A. N. Sorgenfrei and
• Alexander Föhlisch

Beilstein J. Nanotechnol. 2026, 17, 505–514, doi:10.3762/bjnano.17.33

• PCI asymmetry parameters ξ and shown as solid vertical lines, correspond to the conduction band minima (CBM). This interpretation is compatible with electronic structure calculations of ZnS nanoparticles, according to which the Fermi level is approximately 0.4 eV below the CBM [46]; we obtained a

Defects and defect-mediated engineering of two-dimensional materials: challenges and open questions

• Arkady V. Krasheninnikov,
• Matthias Batzill,
• Anouar-Akacha Delenda,
• Marija Drndić,
• Chris Ewels,
• Katharina J. Franke,
• Mahdi Ghorbani-Asl,
• Alexander Holleitner,
• Ado Jorio,
• Ute Kaiser,
• Daria Kieczka,
• Hannu-Pekka Komsa,
• Jani Kotakoski,
• Manuel Längle,
• David Lamprecht,
• Yun Liu,
• Steven G. Louie,
• Janina Maultzsch,
• Thomas Michely,
• Katherine Milton,
• Anna Niggas,
• Hanako Okuno,
• Joshua A. Robinson,
• Marika Schleberger,
• Bruno Schuler,
• Alexander Shluger,
• Kazu Suenaga,
• Kristian S. Thygesen,
• Richard A. Wilhelm,
• E. Harriet Åhlgren and
• Carla Bittencourt

Beilstein J. Nanotechnol. 2026, 17, 454–488, doi:10.3762/bjnano.17.31

• concentration of individual S vacancies and a lower concentration of S vacancy dimers in exfoliated single-layer films [61]. In contrast, density functional theory (DFT) calculations reveal that molecular oxygen reacts very readily with larger S vacancy clusters (three or more vacancies), with O2 dissociation

• information is rarely available experimentally, owing to difficulties in creating on demand a single type of defect of known concentration. However, type and concentration of defects can be exactly defined in calculations, which is promising for producing reference data. In the past, such calculations have

• resolution for that [113] (Figure 5c). What are the challenges in the calculations of Raman spectra of defective 2D materials? In order to correctly describe how the phonons of the pristine material are affected by defects, calculations of Raman spectra require large supercells to describe the low defect

First-principles study on elastic properties of Cu, (Cu_1−x,Ni_x)₃Sn and interfacial mechanical properties of (Cu_1−x,Ni_x)₃Sn/Cu in the lead-free solder joint

• Guomin Hua

Beilstein J. Nanotechnol. 2026, 17, 428–439, doi:10.3762/bjnano.17.29

• orientation relationship of (001)ε//(111)Cu and [100]ε//[−110]Cu; the underlying mechanisms responsible for the influence of Ni alloying on the work of adhesion and interfacial toughness are demonstrated. Methods In this study, first-principles calculations within the framework of density functional theory

• were implemented by the ABINIT package [14]. The norm-conserving pseudopotentials [15] and Perdew–Burke–Ernzerhof generalized gradient approximation (GGA) of the exchange–correlation functional [16] were adopted for the calculation. Regarding the calculations on the intermetallics (CuxNi1−x)3Sn

• efficiency without losing the accuracy by reducing the model size of the alloy systems. Considering the phase stability of (CuxNi1−x)3Sn [22], the content of Ni was set within the range from 0 to 30 atom %. As far as the calculations of the structure optimizations and elastic properties are concerned, a

Nanoinformatics: spanning scales, systems and solutions

• Iseult Lynch,
• Diego S. T. Martinez,
• Kunal Roy and
• Georgia Melagraki

Beilstein J. Nanotechnol. 2026, 17, 423–427, doi:10.3762/bjnano.17.28

• classical molecular dynamics and ab initio calculations revealed that TA preferentially binds to the most reactive sites on GO surfaces via oxygen-containing groups or the carbon matrix. The binding energy was dominated by van der Waals interaction forces. A dose-dependent mitigating effect of TA on the

Polycatecholamine nanocoatings on stainless steel: the effect on attachment of human fibroblasts and platelets

• Paulina Trzaskowska,
• Ewa Rybak,
• Maciej Trzaskowski,
• Kamil Kopeć,
• Jakub Krzemiński,
• Rafał Podgórski,
• Hatice Genc,
• Mehtap Civelek and
• Iwona Cicha

Beilstein J. Nanotechnol. 2026, 17, 365–380, doi:10.3762/bjnano.17.25

• activation (round platelet, max. 1–2 pseudopodia) and strong activation (many pseudopodia, “hedgehog-like”). For each sample, eight FOVs were acquired. A single FOV corresponded to an area of 3162 µm2, resulting in a total analyzed surface area of 25296 µm2 per sample. Statistical analysis All calculations

• and graphs were made using OriginPro 9. Before correlation coefficient calculations, all datasets were assessed for normality with Shapiro–Wilk tests, and all p values were greater than 0.05; thus, the normality of the data was assumed. The levels of correlation were indicated with Pearson’s

Beam shaping techniques for pulsed laser ablation in liquids: Unlocking tunable control of nanoparticle synthesis in liquids

• Sergio Molina-Prados,
• Nadezhda M. Bulgakova,
• Alexander V. Bulgakov,
• Jesus Lancis,
• Gladys Mínguez Vega and
• Carlos Doñate-Buendia

Beilstein J. Nanotechnol. 2026, 17, 309–342, doi:10.3762/bjnano.17.22

Multilayered hyperbolic Au/TiO₂ nanostructures for enhancing the nonlinear response around the epsilon-near-zero point

• Fernando Arturo Araiza-Sixtos,
• Mauricio Gomez-Robles,
• Rafael Salas-Montiel and
• Raúl Rangel-Rojo

Beilstein J. Nanotechnol. 2026, 17, 251–261, doi:10.3762/bjnano.17.17

• Recherche et de l’Innovation, France (ECOS Nord M19P01), and NANO-PHOT Ecole Universitaire de Recherche, France (ANR-EURE-0013). Allocations Doctorales Région Grand Est, France (Qsim). We conducted the calculations with the resources of the French regional Grand-Est HPC Center ROMEO.

Structure-dependent thermochromism of PAZO thin films: theory and experiment

• Georgi Mateev,
• Dean Dimov,
• Nataliya Berberova-Buhova,
• Nikoleta Kircheva,
• Todor Dudev,
• Ludmila Nikolova,
• Elena Stoykova,
• Keehoon Hong,
• Dimana Nazarova,
• Silvia Angelova and
• Lian Nedelchev

Beilstein J. Nanotechnol. 2026, 17, 186–199, doi:10.3762/bjnano.17.12

• calculations further support these findings, indicating that temperature-dependent intermolecular interactions and conformational changes play a significant role in shaping the optical behavior of the films. These results provide new insights into the structure–property relationships underlying thermochromism

• ) calculations were employed to model possible supramolecular architectures, allowing us to explore the correlation between thermally induced optical responses and the underlying molecular-level organization. Results and Discussion Experimental results Temperature dependence of absorption spectra Absorption

• the PAZO polymer with a relatively accurate but computationally expensive method (DFT calculations), models of a fragment of the polymer main chain with four side chains were considered (Figure 7). PAZO is a polymer with ionized end groups and the orientation of PAZO chromophores is highly dependent

Capabilities of the 3D-MLSI software tool in superconducting neuron design

• Irina E. Tarasova,
• Nikita S. Shuravin,
• Liubov N. Karelina,
• Fedor A. Razorenov,
• Evgeny N. Zhardetsky,
• Aleksandr S. Ionin,
• Mikhail M. Khapaev and
• Vitaly V. Bol’ginov

Beilstein J. Nanotechnol. 2026, 17, 122–138, doi:10.3762/bjnano.17.8

• . Details of neurons decomposition and inductance calculations are given in Appendix B. The fabrication process was the same as described above. All inductive arms of the neurons were formed in the M2 layer, while the control line and the loop of the readout SQUID lied mostly in the M3 layer. Thus, when

• primary subject of this article is the detailed verification of 3D-MLSI software tool. The main task of this inductance extractor is an evaluation of two-terminal partial inductances [48] associated with equivalent scheme ones. The general mathematical model for all superconductor inductance calculations

• total time and memory needed for calculations. In practice, the O(N2) part can be comparable with the O(N3) solution time for moderate N values. Advanced matrix compression methods can be implemented in future versions to be used for dense multilayered schemes of large sizes. A good agreement with the

Microscopic study of the intermediate mixed state in intertype superconductors

• Vyacheslav D. Neverov,
• Alexander V. Kalashnikov,
• Andrey V. Krasavin and
• Alexei Vagov

Beilstein J. Nanotechnol. 2026, 17, 57–62, doi:10.3762/bjnano.17.5

• /bjnano.17.5 Abstract We present a comprehensive microscopic study of the intermediate mixed state in superconductors of the intertype (IT) regime separating types I and II. Using fully self-consistent Bogoliubov–de Gennes calculations for a lattice model, we analyze few-vortex configurations across the

• entire temperature range 0 < T < Tc. Our results demonstrate the key features of IT superconductivity, namely, nonmonotonic vortex interactions and formation of vortex clusters. Using results of the calculations, we construct a “temperature–coupling” phase diagram that delineates distinct superconducting

• microscopic foundation for the IT superconductivity and extend its description beyond the vicinity of the critical temperature. Keywords: Bogoliubov–de Gennes equations; intertype regime; microscopic calculations; superconductivity; vortices in superconductors; Introduction The magnetic response of

Competitive helical bands and highly efficient diode effect in F/S/TI/S/F hybrid structures

• Tairzhan Karabassov,
• Irina V. Bobkova,
• Pavel M. Marychev,
• Vasiliy S. Stolyarov,
• Vyacheslav M. Silkin and
• Andrey S. Vasenko

Beilstein J. Nanotechnol. 2026, 17, 15–23, doi:10.3762/bjnano.17.2

• (a) corresponds to γB1 = γB2 = 0.5, (b) γB1 = γB2 = 0.4, (c) γB1 = γB2 = 0.3, and (d) γB1 = γB2 = 0.2. Funding The analytical calculations were supported by MIPT via the project FSMG-2023-0014. The numerical calculations were supported by the megagrant of the Ministry of Science and Higher Education

Terahertz-range on-chip local oscillator based on Josephson junction arrays for superconducting quantum-limited receivers

• Fedor V. Khan,
• Lyudmila V. Filippenko,
• Andrey B. Ermakov,
• Mikhail Yu. Fominsky and
• Valery P. Koshelets

Beilstein J. Nanotechnol. 2025, 16, 2296–2305, doi:10.3762/bjnano.16.158

• fabrication technology of the samples. In the second we describe the measurement setup and methodology. After that we present the results of the measurements with the calculations and simulation. Finally, we discuss the feasibility of the LO based on JJ arrays of the proposed topology. Experimental Samples

• to the fact that not all of the junctions in the array are synchronized [50]. Results and Discussion Operation frequency band of the samples We performed numerical calculations in order to design the coupling circuits between the JJ array and the SIS mixer. The calculation methods for the

• London penetration depth [18][53]. The experimental results for the S21 coefficient of the 300–550 GHz and 500–700 GHz matching circuits and the calculations are shown in Figure 6a and Figure 6b, respectively. The experimental values of Ipump are normalized to Ig. However, the experiment shows a

Geometry-controlled engineering of the low-temperature proximity effect in normal metal–superconductor junctions

• Munisa A. Tomayeva,
• Vyacheslav D. Neverov,
• Andrey V. Krasavin,
• Alexei Vagov and
• Mihail D. Croitoru

Beilstein J. Nanotechnol. 2025, 16, 2265–2273, doi:10.3762/bjnano.16.155

• ][28]. However, at low or zero temperatures, self-consistent Bogoliubov–de Gennes calculations show that the decay is no longer exponential. In the ballistic regime, the pair amplitude instead follows a power-law decay [7][29][30][31][32], where ξ is the proximity length. The exponent α depends on the

• control the proximity effect. This geometric degree of freedom provides a novel route for engineering and optimizing the performance of superconducting hybrid devices. Results and Discussion Model We perform the calculations on a system described by the two-dimensional Hubbard model, defined through the

• quasi-1D superconducting wire (which can only exist for moderate |η| due to fluctuations) immersed in the NM, essentially a “superconducting wire in a normal sea” [55][56]. Representative configurations for different η values used in subsequent calculations are schematically illustrated by white dashed

Hartree–Fock interaction in superconducting condensate fractals

• Edward G. Nikonov,
• Yajiang Chen,
• Mauro M. Doria and
• Arkady A. Shanenko

Beilstein J. Nanotechnol. 2025, 16, 2177–2182, doi:10.3762/bjnano.16.150

• units of tB). Our calculations are performed away from the half-filling as this regime was shown to produce a uniform electronic distribution in Fibonacci chains [22], where the HF potential does not alter superconducting properties. Here, we adopt an electron density of ne = 0.5. Our qualitative

Electron transport through nanoscale multilayer graphene and hexagonal boron nitride junctions

• Aleksandar Staykov and
• Takaya Fujisaki

Beilstein J. Nanotechnol. 2025, 16, 2132–2143, doi:10.3762/bjnano.16.147

• ) method combined with density functional theory (DFT) to compare electron transport through several layers of nanoscale graphene and hexagonal boron nitride (h-BN). Calculations were performed for one to six layers, corresponding to thicknesses of 0.5–3.0 nm, respectively. Electron transport was computed

• [22]. The electron tunneling through ultrathin h-BN crystalline barriers was investigated recently with experimental techniques showing exponential decay of the current with the number of layers [23]. Accurate density functional theory (DFT) calculations demonstrated the bandgap change in one to eight

• All calculations in this study are performed with NEGF combined with LCAO DFT as implemented in the QantumWise ATK software package [29]. We use the Perdew–Burke–Ernzerhof (PBE) functional [30] combined with the Fritz-Haber-Institut (FHI) pseudopotentials. A single-zeta polarized basis set was used

Molecular and mechanical insights into gecko seta adhesion: multiscale simulations combining molecular dynamics and the finite element method

• Yash Jain,
• Saeed Norouzi,
• Tobias Materzok,
• Stanislav N. Gorb and
• Florian Müller-Plathe

Beilstein J. Nanotechnol. 2025, 16, 2055–2076, doi:10.3762/bjnano.16.141

• orientations with their substrates were simulated in 16 parallel MD calculations. The skeleton of our multiscale seta was created by distributing branching points along two parabolas (Figure 3) as described by Sauer and colleagues [21]. Figure 3 illustrates the construction of the seta FE mesh. The seta was

• element mesh with nodes, is the continuum domain; and the overlapping grey region, which includes coupling components such as anchor points (APs) and harmonic springs, is the bridging domain. Calculations alternate between MD and FEM. The finite element mesh and anchor points (see subsection “Anchor

The cement of the tube-dwelling polychaete Sabellaria alveolata: a complex composite adhesive material

• Emilie Duthoo,
• Aurélie Lambert,
• Pierre Becker,
• Carla Pugliese,
• Jean-Marc Baele,
• Arnaud Delfairière,
• Matthew J. Harrington and
• Patrick Flammang

Beilstein J. Nanotechnol. 2025, 16, 1998–2014, doi:10.3762/bjnano.16.138

• well as their high phosphorus content [9]. In S. alveolata, TEM revealed an identical lamellar structure between inclusions and spheroids. The link between these two structures is also corroborated by simple volume calculations (i.e., the volume of the largest inclusions equals the volume of the cortex

Mechanical property measurements enabled by short-term Fourier-transform of atomic force microscopy thermal deflection analysis

• Thomas Mathias,
• Roland Bennewitz and
• Philip Egberts

Beilstein J. Nanotechnol. 2025, 16, 1952–1962, doi:10.3762/bjnano.16.136

• damping from the ambient environment is not accounted for in Equation 1 and may also be responsible for a small percentage of the difference between the two calculations of the spring constants. However, our results highlight that the measurement of the cantilever’s plan-view dimensions and using these

• dimensions in the determination of the Sader spring constant or other calculations of the normal spring constant are important. Finally, it has been demonstrated that the Sader method can consistently show a difference compared with the thermal noise method used above, particularly for soft cantilevers as

• used in this study [25]. We take the Sader spring constant, which has been widely used in other studies and is less sensitive to variations in the calculated cantilever sensitivity [25], as the spring constant of all cantilevers in the calculations in subsequent sections of this manuscript. Figure 2d

Further insights into the thermodynamics of linear carbon chains for temperatures ranging from 13 to 300 K

• Alexandre Rocha Paschoal,
• Thiago Alves de Moura,
• Juan S. Rodríguez-Hernández,
• Carlos William de Araujo Paschoal,
• Yoong Ahm Kim,
• Morinobu Endo and
• Paulo T. Araujo

Beilstein J. Nanotechnol. 2025, 16, 1818–1825, doi:10.3762/bjnano.16.125

• data. The inset shows a representative case at T = 700 K for , as discussed in the text and in [30]. Supporting Information Supporting Information File 12: Additional figures and calculations. Funding This material is based upon work supported by the National Science Foundation under Grant No

Multifunctional anionic nanoemulsion with linseed oil and lecithin: a preliminary approach for dry eye disease

• Niédja Fittipaldi Vasconcelos,
• Almerinda Agrelli,
• Rayane Cristine Santos da Silva,
• Carina Lucena Mendes-Marques,
• Isabel Renata de Souza Arruda,
• Priscilla Stela Santana de Oliveira,
• Mércia Liane de Oliveira and
• Giovanna Machado

Beilstein J. Nanotechnol. 2025, 16, 1711–1733, doi:10.3762/bjnano.16.120

• determined by electrophoretic mobility using the same instrument at 25 °C. Calculations were based on the Smoluchowski model. All measurements were performed in triplicate and expressed as mean ± standard deviation. pH Value The pH value of the pre-formulation and nanoformulations was measured using a

Ambient pressure XPS at MAX IV

• Mattia Scardamaglia,
• Ulrike Küst,
• Alexander Klyushin,
• Rosemary Jones,
• Jan Knudsen,
• Robert Temperton,
• Andrey Shavorskiy and
• Esko Kokkonen

Beilstein J. Nanotechnol. 2025, 16, 1677–1694, doi:10.3762/bjnano.16.118

• = 660 eV) core levels corresponding to the same conditions as in (a); red vertical lines indicate the binding energies obtained for the optimized O2H–H2O complex on CoTPyP/GR from ab initio DFT calculations for different O 1s core levels, as labeled in (e): 1 − physisorbed/ wetting water, 2 − OOH, 3

Energy spectrum and quantum phase transition of the coupled single spin and an infinitely coordinated Ising chain

• Seidali Seidov,
• Natalia Pugach and
• Anatolie Sidorenko

Beilstein J. Nanotechnol. 2025, 16, 1668–1676, doi:10.3762/bjnano.16.117

• and off-diagonal, so its contribution will be of fourth order in . Thus, up to the second order in , the energy E of the whole system is defined by the following equation: from which follows Also, from these calculations follows that the eigenstates are . One might wonder why there is no contribution

• = 0 extremum is a minimum in the θ direction, and the second derivative of ε+(θ,φ) with respect to θ is positive. Otherwise, the said extremum is a maximum and the stable phase is the broken symmetry one. When carrying out the calculations, we should choose the θ = π solution of the equation sinθ = 0

• calculations. In Figure 5, the phase diagram, obtained numerically, is presented on the plane for fixed values of the rest of the parameters. Results and Discussion We have theoretically studied the infinitely coordinated Ising chain, coupled to a single external spin. We have written down the effective

Modeling magnetic properties of cobalt nanofilms used as a component of spin hybrid superconductor–ferromagnetic structures

• Aleksey Fedotov,
• Olesya Severyukhina,
• Anastasia Salomatina and
• Anatolie Sidorenko

Beilstein J. Nanotechnol. 2025, 16, 1557–1566, doi:10.3762/bjnano.16.110

• small nanoscale system (500 atoms) consisting of cobalt atoms was solved. The purpose of this stage of computational experiment was to check the convergence of the solution and compare the obtained data with the results of other studies. The performed calculations and satisfactory correspondence to the

• are known. Analysis of magnetic moments of atoms mutually ordered as a result of modeling has shown that, for some cases of calculations for thin films of cobalt, the formation of Neel domain walls is typical [32][33][34]. An illustration of the resulting Neel domain wall is given in Figure 7, which

Influence of laser beam profile on morphology and optical properties of silicon nanoparticles formed by laser ablation in liquid

• Natalie Tarasenka,
• Vladislav Kornev,
• Alena Nevar and
• Nikolai Tarasenko

Beilstein J. Nanotechnol. 2025, 16, 1533–1544, doi:10.3762/bjnano.16.108

• peak fluence in the central lobe can be calculated as [31][32]: where Ein is the incident Gaussian pulse energy (80 mJ per pulse) and ω0 is e−2 radius of the incident Gaussian beam (3 mm). Following these calculations, the fluence was calculated to be 84.9 J·cm−2. Morphology, phase composition, and