Previously, we have demonstrated that, on a torus, the Abelian quantum Hall liquid is adiabatically connected to a charge-density wave as the smaller dimension of the torus is varied. In this work, we extend this result to the non-Abelian bosonic Hall state. The outcome of these works is the realization that the paradigms of quantum number fractionalization in one dimension (polyacetylene) and ...

A new light-emitting polyacetylene bearing imidazole moieties in the side chain (), was conveniently prepared through a postfunctionalization strategy, as a sensory polymer to selectively report the presence of Cu2+ (with a detection limit of 1.48 ppm) based on the fluorescence "turn-off". Interestingly, the quenched luminescence of by Cu2+ could be turned on after the addition of CN-, making a...

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy defect states. This provides a natural connection among novel defects in the two-dimensional p{x}+ip{y} superconductor, the Kitaev model, the fractional qua...

Polymers are huge compounds made up of numerous monomers (repeatedsubunits). They have similar macro and micro properties, as well aselectrical transport qualities, semiconductive capabilities, opticalfeatures. With the advent conductive polyacetylene, conductivepolymers gotten a lot interest. These conductors wide rangeof electrical conductivity, which may be produced by doping, while beingmec...

The Landau theory used by Choi and Mele (CM) to treat their rotor model on a triangular lattice for the orientational ordering of polyacetylene chains in alkali-metal-doped polyacetylene is studied. A reanalysis of the higher-order terms in the Landau expansion indicates that cosine ordering can support a nonzero cubic term in the Landau expansion whereas the sine-ordered phase has no such term...

We study electronic conductance through single molecules by subjecting a molecular junction to a time dependent potential and propagating the electronic state in real time using time-dependent density functional theory (TDDFT). This is in contrast with the more common steady-state nonequilibrium Green’s function (NEGF) method. We start by examining quantum scale conductance methods in both the ...