2,350 research outputs found
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 .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
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