We consider the anomalous Hall AH effect in thin disordered ferromagnetic films. Using a microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling, we develop a general formulation for strong, finite range impurity scattering. Explicit calculations are done within a short range but strong impurity scattering to obtain AH conductivities for both t...

We generalize the idea of boundary states to open string channel. They describe emission and absorption of open strings in the presence of intersecting D-branes. We construct the explicit oscillator representation for the free boson and fermionic ghost. Inner product between such states describes a disk amplitude with the shape of a rectangle and has the modular covariance with a nontrivial con...

We generalize the idea of boundary states to the open string channel. They describe emission and absorption of open strings in the presence of intersecting D-branes. We construct the explicit oscillator representation for the free boson and fermionic ghost. The inner product of such states describes a disk amplitude of rectangular shape and possesses modular covariance with a nontrivial conform...

We consider generic N = 1 supersymmetric matter coupled to linearized N = 1 supergravity through the multiplet of currents. By completing the square, we find the effective action giving the leading supergravity induced correction to the matter dynamics, expressed explicitly as a quadratic form in the components of the current multiplet. The effective action is supersymmetry invariant through an...

We discuss the optimization of a functional with respect to sets of orthonormal functions where unitary invariance does not apply. This problem arises, for example, when density functionals with explicit self-interaction correction are used for systems of electrons. There, unitary invariance cannot be used to reformulate the minimization of the energy with respect to each of the functions as an...

A high-order accurate method for the numerical solution of the incompressible Navier-Stokes equations is developed. Fourth–order, explicit, finite difference schemes on staggered grids are used for space discretization. The explicit, fourth–order Runge–Kutta method is used for time marching. Incompressibility is enforce for each Runge–Kutta stage either by a local pressure correction, which is ...

Timbre is a major cue for the human auditory system to recognize musical sounds. Timbral patterns can be decomposed in the widely used spectral envelope and the less considered temporal dynamics. In this paper, we present new temporal dynamics similarity measures, which will prove valuable for the recognition of timbral patterns. These similarity measures are evaluated, first alone, then in con...