Narrow Results

As an extension of the Hilbert transform, which characterizes the spacetime conformally invariant integral transform, we show that, based on the Bhabha theory, a spin-dependent conformally invariant integral transform can be written as a product of the spin-independent integral transform and the Casimir operator of the corresponding conformal group. In contrast to an ordinary context, where the spacetime translation symmetry is assumed, we introduce an intrinsic momentum operator, by which the Casimir operator turns out to be spacetime-dependent (spin–orbit coupling, Pauli–Lubanski pseudo-vector, and the like). We also show that the physical state annihilated by the intrinsic momentum operator represents a spin-$s$ state.

We present here polarization operator of non-relativistic fermions with spin-orbit (SO) Rashba interaction. The spectrum of this fermions is moat type having minimum on a circle. Contrary to Dirac or non-relativistic fermions, Fermi sea here has a geometry of Corbino disk which reflects in a transport properties of excitation’s.

We give a unitary description of T-odd effects in various sectors of atomic, nuclear and particle physics, like elastic scattering, deep inelastic processes and weak decays. This we get thanks to a particular transformation, which suggests a simple and unambiguous procedure for defining the two typical T-odd observables, the azimuthal asymmetry and the normal polarization. This approach allows to revise the two observables quite naturally in various situations, mainly in deep inelastic processes and in weak decays. In the latter case, useful suggestions for phenomenological analyses and an interesting result for normal and transverse polarization are derived.

This article reviews steady-state spin densities and spin currents in materials with strong spin-orbit interactions. These phenomena are intimately related to spin precession due to spin-orbit coupling, which has no equivalent in the steady state of charge distributions. The focus will initially be on effects originating from the band structure. In this case, spin densities arise in an electric field because a component of each spin is conserved during precession. Spin currents arise because a component of each spin is continually precessing. These two phenomena are due to independent contributions to the steady-state density matrix, and scattering between the conserved and precessing spin distributions has important consequences for spin dynamics and spin-related effects in general. In the latter part of the article, extrinsic effects such as skew scattering and side jump will be discussed, and it will be shown that these effects are also modified considerably by spin precession. Theoretical and experimental progress in all areas will be reviewed.

In this paper, we study Hall effects of the monolayer MoS₂ with Rashba and Ising spin-orbit coupling (SOC) under the application of a circularly polarized light. The Chern number and spin textures at high frequency regime are studied based on the Floquet theory. We found that the SOCs induced valley Hall effect. The sign of Chern numbers at high frequency regime can be reversed by engineering interplay between Ising SOC and light intensity. The system undergoes a topological phase transition from valley Hall state to anomalous Hall state. By analyzing the spin texture, we study the origin of the Hall effects.

A multi-channel algebraic scattering (MCAS) approach has been used to analyze the spectra of two hypernuclear systems, and . The splitting of the two odd-parity excited levels ( and ) at 11 MeV excitation in is driven mainly by the weak Λ-nucleus spin–orbit force, but the splittings of the and levels in both and have a different origin. These cases appear to be dominated by coupling to the collective 2⁺ states of the core nuclei. Using simple phenomenological potentials as input to the MCAS method, the observed splitting and level ordering in is reproduced with the addition of a weak spin–spin interaction acting between the hyperon and the spin of the excited target. With no such spin–spin interaction, the level ordering in is inverted with respect to that currently observed. In both hypernuclei, our calculations suggest that there are additional low-lying resonant states in the Λ-nucleus continua.