Shot noise in Weyl semimetals

We study the effect of inelastic processes on the magneto-transport of a quasi-one dimensional Weyl semi-metal, using a modified Boltzmann-Langevin approach. The magnetic field drives a crossover to a ballistic regime in which the propagation along the wire is dominated by the chiral anomaly, and the role of fluctuations inside the sample is exponentially suppressed. We show that inelastic collisions modify the parametric dependence of the current fluctuations on the magnetic field. By measuring shot noise as a function of a magnetic field, for different applied voltage, one can estimate the electron-electron inelastic length $l_{\rm ee}$.Comment: 7 pages, 1 figur

Graph Theory and Molecular Orbitals. IV. Further Application of Sachs Formula

In the present note we would like to report a further application1 of the Sachs formula2 to conjugated hydrocarbons

Simple Topological Formula for Dewar Resonance Energies of Benzenoid Molecules

Dewar and co-workers1 have reinvestLgated the classical concept of resonance energy, CRE, and by making use of a polyene reference structUJI\u27e instead of the ethylene reference structure they were able to obtain giood agreement between the SCF pi-MO calculations ·and experianerutal findings for both benzenoid and non-benzenoid molecules. This new concept, later named2 »Dewar resonance energy«, was used with equal success within the framework o.f Ruckel theorry3• Extensive tables of DRE value of benzenoid hydrocarbons have been published3

Graph Theory and Molecular Orbitals. VIII. Kekule Structures and Permutations

The relation between Kekule structures and permutations is discussed. It is shown that Kekule structures are permutations and that their number in alternant hydrocarbons is equal to the square root of the total number of permutations contained in the molecular graph. As simple special cases of this result the Dewar-Longuet- Higgins equation2 and the relation between the permanent · of the adjacency matrix and the number of Kekule structures3 are obtained. Generalizations for nonalternant hydrocarbons are also given