Entropy Distribution of Localised States

Determination of Maximum Bayesian Entropy Probability Distribution

In this paper, we consider the determination methods of maximum entropy multivariate distributions with given prior under the constraints, that the marginal distributions or the marginals and covariance matrix are prescribed. Next, some numerical solutions are considered for the cases of unavailable closed form of solutions. Finally, these methods are illustrated via some numerical examples.

Topologically protected localised states in spin chains

We consider spin chain families inspired by the Su, Schrieffer and Hegger (SSH) model. We demonstrate explicitly the topologically induced spatial localisation of quantum states in our systems. We present detailed investigations of the effects of random noise, showing that these topologically protected states are very robust against this type of perturbation. Systems with such topological robus...

New field theory formulation of localised states in disordered systems

We present a new field theoretic formulation of the quantun mechanics of disordered systems. The problem is converted to an explicit field theory by changing variables in the functional integral over all random potentials to an integral over all possible wavefunctions. Unlike previous formulations this field theory has the novel feature of having the 'right' sign for the coefficient of the 'p" ...

Ccp1/ccp5 Workshop`modelling of Localised States in Condensed Matter'

In many diierent condensed-matter problems, one is interested in the properties of a highly lo-calised group of atoms occupying a region perhaps less than 10 A across, but which is strongly innu-enced by the surrounding medium. Examples include defects and impurities in crystals, molecules interacting with solid surfaces, and chemically reacting molecules in solution. The most eeective strategy...

Localised States of Fabry-Perot Type in Graphene Nano-Ribbons