Rezension von: Evangelisches Diakoniewerk Schwäbisch Hall (Hrsg.), Das Diak in Schwäbisch Hall

Quantum Hall Dynamics on Von Neumann Lattice

h in quantum Hall regime of the system of interactions and disorders. This shows that a determination of the fine structure constant from integer quantum Hall effect is in fact possible. We present also a unified mean field theory of the fractional Hall effect for the in-compressible quantum liquid states based on flux condensation and point out that the known Hofstadter butterfly spectrum of t...

اثر هال (hall effect)

Rezension von Dalitz/Heyer: HYPER-G. Das Informationssystem der 2. Generation

Flux State in Von Neumann Lattice and Fractional Hall Effect

Formulation of quantum Hall dynamics using von Neumann lattice of guiding center coordinates is presented. A topological invariant expression of the Hall conductance is given and a new mean field theory of the fractional Hall effect based on flux condensation is proposed. Because our mean field Hamiltonian has the same form as Hofstadter Hamiltonian, it is possible to understand characteristic ...

On the von Kármán-Howarth equations for Hall MHD flows

The von Kármán-Howarth equations are derived for three-dimensional (3D) Hall magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic turbulence. From these equations, we derive exact scaling laws for the third-order correlation tensors. We show how these relations are compatible with previous heuristic and numerical results. These multi-scale laws provide a relevant tool to inves...