Theory of spin hall conductivity in n-doped GaAs

We develop a theory of extrinsic spin currents in semiconductors, resulting from spin-orbit coupling at charged scatterers, which leads to skew-scattering and side-jump contributions to the spin-Hall conductivity. Applying the theory to bulk n-GaAs, without any free parameters, we find spin currents that are in reasonable agreement with experiments by Kato et al. [Science 306, 1910 (2004)].     

Asymmetric quantum shot noise in quantum dots

We analyze the frequency-dependent noise of a current through a quantum dot which is coupled to Fermi leads and which is in the Coulomb blockade regime. We show that the asymmetric shot noise, as a function of detection frequency, shows steps and becomes super-Poissonian. This provides experimental access to the quantum fluctuations of the current. We present an exact calculation of the noise for a single dot level and a perturbative evaluation of the noise in Born approximation (sequential tunneling regime but without Markov approximation) for the general case of many levels with charging interaction.     

Mathematics of noncanonical quantum theory

The Weyl relatione ^?isQ e ^itP e ^isQ =e ^it(P+sI) is generalized so as to hold for noncanonical couples (P,Q) implying the commutation relationi[P,Q]=C whereC is arbitrary bounded self-adjoint. It is shown that if 0 is not in the closure of the numerical range ofC then bothP andQ are spectrally continuous and neither bounded from below nor above. The dynamical equations in noncanonical theory are established. It is shown thatH (which is no longer given by correspondence) cannot be bounded from below (above) ifC≦0 (C≧0),C≠0.     

Out-of-plane spin polarization from in-plane electric and magnetic fields

We show that the joint effect of spin-orbit and magnetic fields leads to a spin polarization perpendicular to the plane of a homogeneous two-dimensional electron system with Rashba spin-orbit coupling and in-plane parallel dc magnetic and electric fields, for angle-dependent impurity scattering or nonparabolic energy spectrum, while only in-plane polarization persists for simplified models. We derive Bloch equations, describing the main features of recent experiments, including the magnetic field dependence of static and dynamic responses.     

On holomorphic mappings of Schatten class type

This paper was done during an assistentship of the author at the University of Kaiserslautern.     

On the regularization of functional equations

Summary A calculus is proposed and applied to a number of examples by which distribution solutions of nonlinear functional equations can be defined without introducing specific multiplications of distributions.Herrn Prof. Dr. C. Schmieden zum 65. Geburtstag gewidmet     

Derivationsgleichungen linearer Operatoren

Ohne Zusammenfassung