[en] We have extended the considerable computational advantages of separable, nonlocal pseudopotentials to the calculation of spin-orbit splittings in solids. We write the total ionic pseudopotential as a sum of scalar relativistic and spin-orbit contributions, where each term can be represented by a fully nonlocal potential of the separable Kleinman-Bylander (KB) form. The scalar term, which reduces to the standard KB expression for the pseudopotential in the limit where one can neglect spin-orbit interactions, is used in the local-density approximation to calculate zeroth-order electronic properties in the usual way, and spin-orbit splittings are calculated to first order using perturbation theory. We have tested our procedure by calculating the spin-orbit splittings at high symmetry points of the zinc-blende III-V semiconductors GaAs, InAs, AlSb, GaSb, and InSb. The calculated splittings in all cases are in excellent agreement with those obtained from other first-principles calculations and with experiment. Since our spin-orbit operator is fully nonlocal in both radial and angular coordinates, a considerable reduction in the labor required to calculate matrix elements has been achieved. This makes our approach ideally suited for use with ab initio molecular-dynamics techniques, which currently have become the methods of choice for exploring the electronic and structural properties of solids

[en] The question which we should like to discuss briefly can be divorced from the point of view of principle, though not honestly from the point of view of incentive, from the phenomenological developments. Everyone knows that in the expansion of the two-nucleon interaction in powers of the nucleons relative momentum, the L.S term is the term of first order. Some of us feel that a reasonably correct version of the static term has been derived from meson theory. Our attempt has been simply to extend the methods available to first order in the nucleon velocity. (author)

No abstract available

[en] Published in summary form only

No abstract available

[en] Bearing the perturbation method in mind, and by focusing on the first order of approximation, the effect of Generalized Uncertainty Principle (GUP) on the Berry phase is investigated. Thereinafter, we apply the obtained formulation to quantum ring including two sorts of spin-orbit interactions, namely Rashba and Dresselhaus interactions, which are accessible for electrons. Finally, a comparison between the results and the accuracy of Berry phase detectors helps us in finding out β ₀ < 10⁴⁶ and β ₀ < 10⁵¹ as the upper bounds on the GUP parameter inflicted by the Rashba and Dresselhaus interactions, respectively. (paper)

[en] We propose strongly localized persistent spin current in one-dimensional defect-free quasiperiodic Thue–Morse rings with Aharonov–Casher effect. The results show that the characteristics of these localized persistent currents depend not only on the radius filling factor, but also on the strength of the spin–orbit interaction. The maximum persistent spin currents in systems always appear in the ring near the middle position of the system array whether or not the Thue–Morse rings array is symmetrical. The magnitude of the persistent currents is proportional to the sharpness of the resonance peak, which is dependent on the bandwidth of the allowed band in the band structure. The maximum persistent spin currents also increase exponentially as the generation order of the system increases. - Highlights: • Strongly localized persistent spin current in quasiperiodic AC rings is proposed. • Localized persistent spin currents are much larger than those produced by traditional mesoscopic rings. • Characteristics of the localized persistent currents depend on the radius filling factor and SOI strength. • The maximum persistent current increases exponentially with the system order. • The magnitude of the persistent currents is related to the sharpness of the resonance

No abstract available

[en] Rigorous, closed form expressions are derived for non-paraxial imaging of sources of multipole radiation from which conservation of angular momentum (AM) flux is established. Coupling of spin and orbital optical AM flux is also quantitatively investigated, highlighting the importance of spin-orbit interactions in high numerical aperture imaging.

[en] We have studied magnetic anisotropies of Fe atoms on the platinum(1 1 1) surface, employing a fully relativistic pseudopotential and planewave method. We investigated two coverages for the Fe monolayer; the full coverage and the half coverage. The effect of surface relaxation has been included. For both cases, it was found that the magnetic easy axis of system is within the surface plane. In case of the half coverage, the magnetic anisotropy energies are comparable to the value of bulk alloy and the magnetic easy axis is directed to the alignment of Fe atoms