Density of states in the presence of spin-dependent scattering in SF bilayers: a numerical and analytical approach

• Tairzhan Karabassov,
• Valeriia D. Pashkovskaia,
• Nikita A. Parkhomenko,
• Anastasia V. Guravova,
• Elena A. Kazakova,
• Boris G. Lvov,
• Alexander A. Golubov and
• Andrey S. Vasenko

Beilstein J. Nanotechnol. 2022, 13, 1418–1431, doi:10.3762/bjnano.13.117

• = 1.6Δ. The evolution of the DOS plotted for increasing values of the SF interface transparency γB. Here, df = 0.5ξf, the exchange field is h = 0.4Δ (blue solid line), and h = 1.7Δ (black dotted line). (a) γB = 2, (b) γB = 5, (c) γB = 10, and (d) γB = 25. The DOS Nf(E) at the free boundary of the F layer

• dashed line). Plot (b) corresponds to αso ≠ 0: αso = 0.05 (black solid line) and αso = 0.13 (red dashed line). Plot (c) corresponds to αx ≠ 0: αx = 0.2 (black solid line). The black dotted line represents Nf(E) in the absence of any scattering. The DOS Nf(E) at the free boundary of the F layer in the SF

Anomalous current–voltage characteristics of SFIFS Josephson junctions with weak ferromagnetic interlayers

• Tairzhan Karabassov,
• Anastasia V. Guravova,
• Aleksei Yu. Kuzin,
• Elena A. Kazakova,
• Shiro Kawabata,
• Boris G. Lvov and
• Andrey S. Vasenko

Beilstein J. Nanotechnol. 2020, 11, 252–262, doi:10.3762/bjnano.11.19

• section we present the results of the DOS energy dependencies in SF bilayers at the free boundary of the F layer for h ≤ Δ. The densities of states for h ≥ Δ were thoroughly discussed in [45]. Then we calculate the corresponding CVC of the SFIFS junction using the Werthamer formula (Equation 1). In the

• the magnetic scattering time αm = 1/τmΔ. We considered the case of a strong insulating barrier such that the left SF and the right FS bilayers are decoupled. In order to obtain the current–voltage characteristics we first calculated the densities of states on the free boundary of the F layer in each

• interface is characterized by the parameter γB2. Both parameters γB1, γB2 ≪ 1, which corresponds to transparent metallic interfaces. The insulating barrier between the left and right interfaces (I) is described by γB0 ≫ 1. DOS Nf(E) on the free boundary of the F layer in the FS bilayer obtained numerically

Abrupt elastic-to-plastic transition in pentagonal nanowires under bending

• Sergei Vlassov,
• Magnus Mets,
• Boris Polyakov,
• Jianjun Bian,
• Leonid Dorogin and
• Vahur Zadin

Beilstein J. Nanotechnol. 2019, 10, 2468–2476, doi:10.3762/bjnano.10.237

• -twinned NW in the present simulation. The simulated model is ≈60.0 nm in length and ≈14.2 nm in diameter. The total number of Ag atoms is ≈0.474 million. Figure 1b shows the initial five-fold internal twin structures. In the simulation, free boundary conditions are imposed in all directions. The time

Periodic structures on liquid-phase smectic A, nematic and isotropic free surfaces

• Anna N. Bagdinova,
• Evgeny I. Demikhov,
• Nataliya G. Borisenko,
• Sergei M. Tolokonnikov,
• Gennadii V. Mishakov and
• Andrei V. Sharkov

Beilstein J. Nanotechnol. 2018, 9, 342–352, doi:10.3762/bjnano.9.34

• Institute of the Russian Academy of Sciences, 53 Leninskiy Prospekt, Moscow, 119991, Russia 10.3762/bjnano.9.34 Abstract The free boundary of smectic A (SmA), nematic and isotropic liquid phases were studied using a polarized optical microscope, an interferometric surface structure analyzer (ISSA), an

• optical microscopy on the surface of the smectic A, nematic and isotropic phases. The properties of this periodic structure are similar to the charged liquid helium surface and can be explained by nonlinear electrostatic instabilities previously described. Keywords: focal conic domains; free boundary

• , such as interferometric surface structure analyzers (ISSAs, i.e., nanoprofilometer), atomic force microscope (AFM) [5][6][7][8] and a scanning near-field optical microscope (SNOM) [9][10] has been made. To study the liquid crystalline free boundary structures, common nanotechnology tools are used, for

Nematic topological defects positionally controlled by geometry and external fields

• Pavlo Kurioz,
• Marko Kralj,
• Bryce S. Murray,
• Charles Rosenblatt and
• Samo Kralj

Beilstein J. Nanotechnol. 2018, 9, 109–118, doi:10.3762/bjnano.9.13

• Equation 10, in which we set m = 1. At the bottom plate we enforce homeotropic anchoring conditions using the ansatz in Equation 8. At the lateral boundaries we assume free boundary conditions. These conditions impose a boojum topological defect at the top plate [19][20]. Note that in our simulations we

Nanoprofilometry study of focal conic domain structures in a liquid crystalline free surface

• Anna N. Bagdinova,
• Evgeny I. Demikhov,
• Nataliya G. Borisenko and
• Sergei M. Tolokonnikov

Beilstein J. Nanotechnol. 2017, 8, 2544–2551, doi:10.3762/bjnano.8.254

• boundary. The capabilities of this new experimental method, as applied for liquid crystal free boundaries, are discussed. The formation of focal conic domain structures at the smectic-A–air free boundary was detected and studied. Keywords: focal conic domains; free boundary; liquid crystals

• ; nanoprofilometer; smectic-A phase; Introduction The free surface of liquid crystals has been a subject of great interest since the beginning of liquid crystal science. Liquid crystalline free boundary research is very important because it shows that the intrinsic free surface properties are not influenced by the

• classic material for observation of focal conic domains (FCDs). FCDs appear when two competing boundary conditions take place at a boundary. In our case, the liquid crystal has strong boundary conditions on the solid substrate and the director is oriented parallel to the substrate. On the free boundary

A simple method for the determination of qPlus sensor spring constants

• John Melcher,
• Julian Stirling and
• Gordon A. Shaw

Beilstein J. Nanotechnol. 2015, 6, 1733–1742, doi:10.3762/bjnano.6.177

• validation of Bernoulli–Euler beam theory with fixed-free boundary conditions to model the flexural mechanics of qPlus sensors. Let kI(b) denote the force gradient measured by the nanoindenter at an offset b from the distal edge of the tine (positive in the +x direction pointing away from the base of the

• μm. A quasi-static nanoindentation method is used to validate Bernoulli–Euler beam theory with fixed-free boundary conditions for modeling the flexure of the tuning fork tine. Indentation data provides the effective length, flexural rigidity, and nominal spring constant of the tine with an estimated

Nanometer-resolved mechanical properties around GaN crystal surface steps

• Jörg Buchwald,
• Marina Sarmanova,
• Bernd Rauschenbach and
• Stefan G. Mayr

Beilstein J. Nanotechnol. 2014, 5, 2164–2170, doi:10.3762/bjnano.5.225

• GaN step was modeled in the wurtzite crystal structure oriented along the [001] direction by means of a Stillinger–Weber potential [15]. The simulations were carried out in a NVT ensemble utilizing Nosé–Hoover thermostatting at 5 K [16][17], Verlet time integration at constant volume and free boundary

Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory

• Mohammad Rahim Nami and
• Maziar Janghorban

Beilstein J. Nanotechnol. 2013, 4, 968–973, doi:10.3762/bjnano.4.109

• , the nonlocal elasticity theory is used. An analytical method is adopted to solve the governing equations for static analysis of simply supported nanoplates. In the present theory, the transverse shear stresses satisfy the traction free boundary conditions of the rectangular plates and these stresses

• deformation theory. The above mentioned methodology could be used for both thick and thin rectangular plates similar to 3D elasticity theory. In this theory, the transverse shear stresses satisfied the traction free boundary conditions of the rectangular plates and these stresses could be calculated from the

• vibration of thick isotropic plates with exponential terms in the displacement field to calculate the stresses and the strain. This theory is compatible with stress free boundary conditions at the top and the bottom of the plate. Sayyad [7] proposed a refined shear deformation theory for the static flexure