Modulated critical currents of spin-transfer torque-induced resistance changes in NiCu/Cu multilayered nanowires

• Mengqi Fu,
• Roman Hartmann,
• Julian Braun,
• Sergej Andreev,
• Torsten Pietsch and
• Elke Scheer

Beilstein J. Nanotechnol. 2024, 15, 360–366, doi:10.3762/bjnano.15.32

• stiffness, the dipolar stray field, and the anisotropy field caused by the spin–orbit interaction [34]. Since the magnetization of layer 1 () and layer 3 () are both parallel to the applied magnetic field (here: positive), the exchange stiffness as well as the dipolar stray field on layer 2 point in the

Current-induced mechanical torque in chiral molecular rotors

• Richard Korytár and
• Ferdinand Evers

Beilstein J. Nanotechnol. 2023, 14, 711–721, doi:10.3762/bjnano.14.57

• ) Electrons carry spin angular momentum, which couples with the orbital momentum by spin–orbit interaction. Thus, reflection accompanied by a spin flip can induce angular momentum transfer. Conclusion We have investigated the classical dynamics of a molecular rotor under a particle current. The molecule was

Metal-organic framework-based nanomaterials as opto-electrochemical sensors for the detection of antibiotics and hormones: A review

• Akeem Adeyemi Oladipo,
• Saba Derakhshan Oskouei and
• Mustafa Gazi

Beilstein J. Nanotechnol. 2023, 14, 631–673, doi:10.3762/bjnano.14.52

• protected by a wider radial expansion of its filled 5s2 and 5p6 subshells, which create 4f orbitals as inner orbitals. As a result, the spin–orbit interaction, which is the basis for their intriguing photophysical features, dominates the extremely minor and less significant crystal field influence on the

The influence of structure and local structural defects on the magnetic properties of cobalt nanofilms

• Alexander Vakhrushev,
• Aleksey Fedotov,
• Olesya Severyukhina and
• Anatolie Sidorenko

Beilstein J. Nanotechnol. 2023, 14, 23–33, doi:10.3762/bjnano.14.3

• and promising magnetic nanomaterials. Magnetic crystallographic anisotropy arises on spin–orbit interaction of atoms. As a consequence, this type of interaction should be separately taken into account when constructing theoretical models and conducting numerical experiments. The type and parameters of

Nonlinear features of the superconductor–ferromagnet–superconductor φ₀ Josephson junction in the ferromagnetic resonance region

• Aliasghar Janalizadeh,
• Ilhom R. Rahmonov,
• Sara A. Abdelmoneim,
• Yury M. Shukrinov and
• Mohammad R. Kolahchi

Beilstein J. Nanotechnol. 2022, 13, 1155–1166, doi:10.3762/bjnano.13.97

• characteristics of a φ0 Josephson junction in the ferromagnetic resonance region. We show that at small values of the system parameters damping, spin–orbit interaction, and Josephson-to-magnetic energy ratio, the magnetic dynamics is reduced to the dynamics of a scalar Duffing oscillator driven by the Josephson

• for αcrit as a function of Gr (Table 1). There is a good agreement between numerical and analytical results of the calculations for small products of Josephson-to-magnetic energy ratio and spin–orbit interaction. Conclusion The understanding of the nonlinear features of magnetization dynamics in

• current and external electromagnetic radiation [28]. Here, using numerical and analytic approaches, we have demonstrated that at small values of the system parameters damping, spin–orbit interaction, and Josephson-to-magnetic energy ratio in φ0 junctions, magnetic dynamics is reduced to the dynamics of

Topographic signatures and manipulations of Fe atoms, CO molecules and NaCl islands on superconducting Pb(111)

• Carl Drechsel,
• Philipp D’Astolfo,
• Jung-Ching Liu,
• Thilo Glatzel,
• Rémy Pawlak and
• Ernst Meyer

Beilstein J. Nanotechnol. 2022, 13, 1–9, doi:10.3762/bjnano.13.1

• between two materials, exhibiting particle–hole symmetry and spin–orbit interaction [8]. Among the most promising platforms to realize MZMs are semiconducting nanowires with large spin–orbit coupling [9][10][11][12] or atomic chains [13][14][15][16][17][18] in proximity to an s-wave superconductor. The

Chemical vapor deposition of germanium-rich CrGe_x nanowires

• Vladislav Dřínek,
• Stanislav Tiagulskyi,
• Roman Yatskiv,
• Jan Grym,
• Radek Fajgar,
• Věra Jandová,
• Martin Koštejn and
• Jaroslav Kupčík

Beilstein J. Nanotechnol. 2021, 12, 1365–1371, doi:10.3762/bjnano.12.100

• their magnetic defects and their interactions with charge carriers. Antiferromagnetic clusters in CrGe NWs were investigated using electron spin resonance. Spin–orbit interaction between charge carriers and magnetic defects were studied [9]. Cr/Ge nanotowers as a dilute magnetic semiconductor were

Kondo effects in small-bandgap carbon nanotube quantum dots

• Patryk Florków,
• Damian Krychowski and
• Stanisław Lipiński

Beilstein J. Nanotechnol. 2020, 11, 1873–1890, doi:10.3762/bjnano.11.169

• . Also, many-body resonances form at the Fermi level, which enable transport in the valleys between Coulomb peaks. In CNTs spin–orbit interaction plays an important role. The first experimental evidence showing the significance of this effect was the observation of splitting of a spin–orbital quadruplet

• resonances with effective spin, valley, or spin–valley fluctuations, the emergence of an exotic SU(3) Kondo resonance is foreseen even without mixing between shells or valleys, but simply due to the peculiarity of the band structure and a subtle interplay of magnetic field, spin–orbit interaction, and

Excitonic and electronic transitions in Me–Sb₂Se₃ structures

• Nicolae N. Syrbu,
• Victor V. Zalamai,
• Ivan G. Stamov and
• Stepan I. Beril

Beilstein J. Nanotechnol. 2020, 11, 1045–1053, doi:10.3762/bjnano.11.89

• symmetries), respectively [27]. Considering that the bands originate from the structures with a higher symmetry (tetragonal) to the structures with an orthorhombic symmetry (D2h), it should be noted that the bands in k = 0 are split by a crystal field and a spin–orbit interaction [27]. The lower conduction

• , respectively. The V1–V2 valence band splitting in the center of the Brillouin zone by a crystal field (Δcr = 13 meV) and the spin–orbit interaction (Δso = 35 meV) were determined. The bands V3–V4 were split by 191 meV. The observed features were discussed based on the theoretical calculation of the energy band

• ) Transformation from the tetrahedral to orthorhombic symmetry due to the spin–orbit interaction and the crystal field in the center of the Brillouin zone. Figure 7B adapted with permission from [24], copyright 2020 Elsevier. The reflection spectra of the Sb2Se3 crystals measured at room temperature under Е||с and

Improvement of the thermoelectric properties of a MoO₃ monolayer through oxygen vacancies

• Wenwen Zheng,
• Wei Cao,
• Ziyu Wang,
• Huixiong Deng,
• Jing Shi and
• Rui Xiong

Beilstein J. Nanotechnol. 2019, 10, 2031–2038, doi:10.3762/bjnano.10.199

• –Ernzerhof (PBE) [20] pseudopotentials without spin–orbit interaction. Since the PBE functional fails to capture the electrical and optical properties of bulk MoO3 by a large margin (band gap of less than half of the experimental value), we also employ the Heyd–Scuseria–Ernzerhof (HSE06) hybrid functional

Coexisting spin and Rabi oscillations at intermediate time regimes in electron transport through a photon cavity

• Vidar Gudmundsson,
• Hallmann Gestsson,
• Nzar Rauf Abdullah,
• Chi-Shung Tang,
• Andrei Manolescu and
• Valeriu Moldoveanu

Beilstein J. Nanotechnol. 2019, 10, 606–616, doi:10.3762/bjnano.10.61

• into the dynamics in the system. We remember, as is seen in Figure 2 that and have opposite z-components of the spin as do the states and respectively, and we have no spin–orbit interaction in the system. In the upper panels of the figure (Figure 9) we see crossings of the occupation of states with

Silicene, germanene and other group IV 2D materials

• Patrick Vogt

Beilstein J. Nanotechnol. 2018, 9, 2665–2667, doi:10.3762/bjnano.9.248

• that the two sub-lattices in silicene, resulting from the buckling, are moved further apart by an orthogonal electric field, which leads to a band gap opening [7][8]. Another important advantage of these new materials is the significant spin–orbit interaction, which also increases with increasing

• constituting elements because of the related stronger spin–orbit interaction. Topological properties are expected to enable entirely new concepts in electronic devices. These characteristics make the young class of buckled 2D elemental materials a new progressing research field with anticipated outstanding

• properties of their members or as a result of their modification. In all these cases, the buckled atomic structure and the significant spin–orbit interaction may play a key role in the development of these properties. However, before such applications are realized and final products find their way to the

Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires

• Samuel D. Escribano,
• Alfredo Levy Yeyati and
• Elsa Prada

Beilstein J. Nanotechnol. 2018, 9, 2171–2180, doi:10.3762/bjnano.9.203

• features are observed in recent experiments on the detection of Majoranas and could thus help to properly characterize them. Keywords: hybrid superconductor–semiconductor nanowires; interactions; Majorana bound states; quantum dots; Introduction Semiconducting nanowires with strong spin–orbit interaction

Interplay between pairing and correlations in spin-polarized bound states

• Szczepan Głodzik,
• Aksel Kobiałka,
• Anna Gorczyca-Goraj,
• Andrzej Ptok,
• Grzegorz Górski,
• Maciej M. Maśka and
• Tadeusz Domański

Beilstein J. Nanotechnol. 2018, 9, 1370–1380, doi:10.3762/bjnano.9.129

• polarized bound states, focusing on the proximity-induced nontrivial superconducting phase. In practice, the quasiparticle spectrum can be probed within STM-type setups, by attaching a conducting [39][40], superconducting [41], or a magnetically polarized tip [42]. We assume the spin–orbit interaction

• simply focus on the spin-polarized aspects of this problem. Due to the spin–orbit interaction, momentum and spin are no longer “good” quantum numbers. By solving the problem numerically, however, we can estimate the percentage with which the true quasiparticles are represented by the initial spin. We

• that spin–orbit coupling strongly affects the subgap states, both of the single impurities and their conglomerate arranged into a nanoscopic chain. For the case of single magnetic impurity the spin–orbit interaction (i) shifts the quantum phase transition towards higher magnetic coupling Jc, (ii

Disorder-induced suppression of the zero-bias conductance peak splitting in topological superconducting nanowires

• Jun-Tong Ren,
• Hai-Feng Lü,
• Sha-Sha Ke,
• Yong Guo and
• Huai-Wu Zhang

Beilstein J. Nanotechnol. 2018, 9, 1358–1369, doi:10.3762/bjnano.9.128

• case where the system is in a weak spin-orbit interaction regime, and the approximate value of the localization length for a discretized tight-binding model is analytically given by with which the MBS probability density has an exponentially decaying envelope of the form [81]. As shown in Figure 3

• conductance peak. Scheme of our one-dimensional Majorana system. A semiconductor nanowire with spin-orbit interaction sandwiched by two normal leads (L, R) is proximity-coupled to an s-wave superconductor. The nanowire is driven into the topological phase and a pair of MBSs (γ1, γ2) emerge at the two wire

Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer

• Christopher Reeg,
• Daniel Loss and
• Jelena Klinovaja

Beilstein J. Nanotechnol. 2018, 9, 1263–1271, doi:10.3762/bjnano.9.118

• interface remains very transparent. Model of the Proximity Effect The system we consider consists of a 2DEG with strong Rashba spin–orbit interaction (SOI) proximity-coupled to an s-wave superconductor of thickness d, as shown in Figure 1. The 2DEG-superconductor heterostructure is described by the action

Circular dichroism of chiral Majorana states

• Javier Osca and
• Llorenç Serra

Beilstein J. Nanotechnol. 2018, 9, 1194–1199, doi:10.3762/bjnano.9.110

• m1. ΔB is an effective Zeeman-like parameter including the exchange field associated with the intrinsic magnetization of the material. The chemical potential is given by μ while α represents a Rashba-type spin–orbit interaction. Below we numerically determine the eigenvalues and eigenstates of using

Inverse proximity effect in semiconductor Majorana nanowires

• Alexander A. Kopasov,
• Ivan M. Khaymovich and
• Alexander S. Mel'nikov

Beilstein J. Nanotechnol. 2018, 9, 1184–1193, doi:10.3762/bjnano.9.109

• ; semiconducting nanowires; Introduction The transport phenomena in semiconducting wires with induced superconducting ordering and strong spin–orbit interaction are in the focus of current experimental and theoretical research in field of nanophysics and quantum computing [1][2][3][4][5][6][7][8][9][10]. The

• H = 0 and β is the Bohr magneton. Strictly speaking, the spin–orbit interaction may cause the emergence of the third van Hove singularity below −gβH/2, but it appears only at rather large spin–orbit interaction strengths. Note that for a vanishing induced superconducting gap Δind this field

Theoretical study of strain-dependent optical absorption in a doped self-assembled InAs/InGaAs/GaAs/AlGaAs quantum dot

• Tarek A. Ameen,
• Hesameddin Ilatikhameneh,
• Archana Tankasala,
• Yuling Hsueh,
• James Charles,
• Jim Fonseca,
• Michael Povolotskyi,
• Jun Oh Kim,
• Sanjay Krishna,
• Monica S. Allen,
• Jeffery W. Allen,
• Rajib Rahman and
• Gerhard Klimeck

Beilstein J. Nanotechnol. 2018, 9, 1075–1084, doi:10.3762/bjnano.9.99

• obtain correct biaxial strain ratios in quantum wells is shown here to improve the accuracy of quantum dot simulations as compared with experimental measurements. The Hamiltonian is constructed with semi-empirical tight-binding with 20-orbital sp3d5s* basis per atom, including spin–orbit interaction

Structural model of silicene-like nanoribbons on a Pb-reconstructed Si(111) surface

• Agnieszka Stępniak-Dybala and
• Mariusz Krawiec

Beilstein J. Nanotechnol. 2017, 8, 1836–1843, doi:10.3762/bjnano.8.185

• cutoff for all calculations was set to 340 eV, and the Brillouin zone was sampled by a 5 × 2 × 1 Monkhorst–Pack k-points grid [51], 640 eV and 9 × 3 × 1 grid in convergence tests, which resulted in changes of the surface energies of less than 0.1 meV/Å2. The spin–orbit interaction has not been included

Adsorption and diffusion characteristics of lithium on hydrogenated α- and β-silicene

• Fadil Iyikanat,
• Ali Kandemir,
• Cihan Bacaksiz and
• Hasan Sahin

Beilstein J. Nanotechnol. 2017, 8, 1742–1748, doi:10.3762/bjnano.8.175

• expected integration with current nanotechnology. Silicene consists of a single layer of Si atoms arranged in a hexagonal lattice. Unlike the gapless semimetal graphene, silicene has a tiny energy gap that stems from the intrinsic spin–orbit interaction [19]. Instead of the planar structure of graphene

Stable Au–C bonds to the substrate for fullerene-based nanostructures

• Taras Chutora,
• Jesús Redondo,
• Bruno de la Torre,
• Martin Švec,
• Pavel Jelínek and
• Héctor Vázquez

Beilstein J. Nanotechnol. 2017, 8, 1073–1079, doi:10.3762/bjnano.8.109

• molecules are appealing since they feature weak spin–orbit interaction and long spin lifetimes [2][3]. The large pool of organic molecules opens the possibility of almost unlimited functionalities given the right molecular design [4]. Fullerenes are particularly well-studied molecules. Since their discovery

Effects of spin–orbit coupling and many-body correlations in STM transport through copper phthalocyanine

• Benjamin Siegert,
• Andrea Donarini and
• Milena Grifoni

Beilstein J. Nanotechnol. 2015, 6, 2452–2462, doi:10.3762/bjnano.6.254

• Benjamin Siegert Andrea Donarini Milena Grifoni Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany 10.3762/bjnano.6.254 Abstract The interplay of exchange correlations and spin–orbit interaction (SOI) on the many-body spectrum of a copper phtalocyanine (CuPc) molecule and

• phthalocyanine; magnetotransport; spin–orbit interaction; scanning tunneling microscopy (STM); Introduction Spin–orbit interaction (SOI) can play a major role in molecular spintronics. For example, in combination with the configuration of the non-magnetic component (organic ligand), it is known to be essential

• molecule is given by , describes electronic interactions and accounts for the spin–orbit interaction (SOI). Single-particle Hamiltonian for CuPc The one-body Hamiltonian , written in the atomic basis , reads where α is a multi-index combining atomic species and orbital quantum number at position rα, see

Production, detection, storage and release of spin currents

• Michele Cini

Beilstein J. Nanotechnol. 2015, 6, 736–743, doi:10.3762/bjnano.6.75

• production of spin currents can be a useful alternative to optical excitation and electric field methods. Keywords: quantum pumping; quantum transport; spin current; Introduction The time-honored field of quantum transport has been evolving in the past 15 years in such a way that spin–orbit interaction

• spin-polarized currents into the wires by using rotating magnetic fields or letting the ring rotate around the wire. This method works without any need for a spin–orbit interaction, and without stringent requirements about the conduction band filling. Besides, they can be used to pump spin, rather than

• , with the identification of ring site Nring + 1 with site 1, we may write Here αSO is a phase due to the spin–orbit interaction [17], and can be of order unity or smaller. Figure 1 left shows the geometry for a ring of Nring = 8 vertices, but any polygon with even Nring grants a pure spin current. The

Magnetic anisotropy of graphene quantum dots decorated with a ruthenium adatom

• Igor Beljakov,
• Velimir Meded,
• Franz Symalla,
• Karin Fink,
• Sam Shallcross and
• Wolfgang Wenzel

Beilstein J. Nanotechnol. 2013, 4, 441–445, doi:10.3762/bjnano.4.51

• [23] with dhf-TZVP-2c basis [24]. For the spin–orbit interaction the two-component effective core potential dhf-ecp-2c [25] was used. To determine the magnetic anisotropy of the system at hand, the magnetization direction was varied, and the resulting total energies were compared. Three magnetization