Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) effect or as Berry phase shifts leading to precession on cyclic paths. Without curvature single-valuedness is lost in both case. It is shown how the deficit angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can be adjusted to restore single-v...

We study the adiabatic pumping of the Chern-Simons axion (CSA) coupling along a parametric loop characterized by a nonzero second Chern number C^{(2)} from the viewpoint of the hybrid Wannier representation, in which the Wannier charge centers are visualized as sheets defined over a projected 2D Brillouin zone. We derive a new formula for the CSA coupling, expressing it as an integral involving...

We consider semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) variant Planck's over 2pil (l is the vortex strength) along its main linear momentum. The probability current coils around the momentum in such OAM states...

to evaluate effects of gibberllic acid, gridling, berry and bunch thining and their combination on fruit maturity, berry and bunch characteristics of grape cv. yaqooti an experiment was carried out using randomized complete block design with three replications in kavar, shiraz, iran, in 2010-2011 growing season. each experimental plot consisted of three vines. treatments included: t1: gibberlli...

In recent years, it has been shown that Berry curvature monopoles and dipoles play essential roles in the anomalous Hall nonlinear effects, respectively. this work, we demonstrate multipoles (the higher moments of curvatures at Fermi energy) can induce higher-order (NLAH) effects. Specifically, an AC voltage perpendicular to current direction emerges, where frequency is integer multiple applied...

Abstract The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature band theory. However, recent experiments reveal that nonlinear (NHE) can be observed non-magnetic without applying an external magnetic field. emergence NHE under symmetric conditions explained terms non-vanishing dipole (BCD) arising from inversion breaking. In this work...

The characterization and the experimental measurement of Berry curvature in solids have become an increasingly relevant task condensed matter physics. We present theoretical prediction a gate tunable anomalous Hall effect (AHE) nonmagnetic oxide interface as hallmark nontrivial curvature. observed AHE at low temperatures presence planar magnetic field comes from multiband low-energy model with ...

We generalize the concept of topological invariants for mixed states based on ensemble geometric phase (EGP) introduced one-dimensional lattice models to two dimensions. In contrast density matrices suggested by Uhlmann, EGP leads a proper Chern number Gaussian, finite-temperature or non-equilibrium steady states. The can be expressed as an integral Berry curvature so-called fictitious Hamilton...

In recent years, more and magnetic topological materials, especially Weyl semimetals, have been discovered, providing a platform for studying the electronic transport behavior. The strong Berry curvature of materials can significantly enhance conventional transverse behaviors, also make phenomena that overlooked or unobserved appear gradually. this review, semi-classical equation is used to und...