Only recently, a polar orientational self-consistent field (oSCF) approach was adopted to model chiral BCP having a thermodynamic preference for cholesteric ordering in chiral segments. Self-consistent field theory has played a major role in prediction of physical properties of polymeric systems. Despite decades of study, the influence of intrinsic chirality on equilibrium mesophase assembly of block copolymers is not well understood and largely unexplored. Influence of Chirality in Ordered Block Copolymer Phasesīlock copolymers are known to assemble into rich spectrum of ordered phases, with many complex phases driven by asymmetry in copolymer architecture. It is shown that the emergence of chirality is accompanied by the simultaneous formation of orbital order We show that this type of combined orbital and charge order may in fact be expected to be a generic property of a broad class of charge ordered materials and discuss the prerequisites for finding chiral charge order in other materials.
Here we resolve this paradox by identifying the microscopic mechanism underlying the formation of the chiral charge density wave in 1T-TiSe2. In contrast, the purely scalar charge density cannot straightforwardly support a chiral state. The nature of the order parameter is of key relevance, since rotating a magnetic vector around any propagation vector trivially yields a helical pattern. The first material to harbor a corkscrew pattern of charge density on the other hand, was discovered only very recently. Helical arrangements of spins are common among magnetic materials. It is significant that we can control the propagation trajectory, the intensity focusing position and the radiation forces of the FCAiV beams by varying the chirped parameter and the chiral parameter.Ĭhiral charge and orbital order in 1T-TiSe2 Meanwhile, with the chiral parameter increasing, the maximum gradient and scattering forces of the LCPV beams decrease but those of the RCPV beams will increase during the propagation. Furthermore, the relative position between the main lobe and the optical vortex contributes to the position of the intensity focusing. Besides, the increase of the chiral parameter acting on the LCPV beams makes the relative position between the main lobe and the optical vortex further while the effect on the RCPV beams is the opposite. It is shown that the propagation trajectory of the FCAiV beams declines with the chirped parameter increasing. In this paper, we investigate the effects of the first- order chirped parameter β, the chiral parameter γ and the optical vortex on the propagation process of the FCAiV beams. Results show that the FCAiV beams split into the left circularly polarized vortex (LCPV) beams and the right circularly polarized vortex (RCPV) beams, which have totally different propagation trajectories in the chiral medium. We introduce the propagation of the first- order chirped Airy vortex beams (FCAiV) in a chiral medium analytically.
Xie, Jintao Zhang, Jianbin Ye, Junran Liu, Haowei Liang, Zhuoying Long, Shangjie Zhou, Kangzhu Deng, Dongmei Paraxial propagation of the first- order chirped Airy vortex beams in a chiral medium. We discuss the microscopic mechanism driving the transition and show it to be of a general form, thus allowing for a broad class of materials to display this novel type of orbital- ordered chiral charge density wave. Here we use a Landau order parameter analysis to resolve this paradox, and show that the chiral charge order may be understood as a form of orbital ordering. The first material to harbor a corkscrew pattern of charge density, on the other hand, was discovered only very recently. Chirality and orbital order in charge density waves
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