Fractional charges: Global and local aspects

Fractional charges in pyrochlore lattices

Abstract. A pyrochlore lattice is considered where the average electron number of electrons per site is half–integer, concentrating on the case of exactly half an electron per site. Strong on-site repulsions are assumed, so that all sites are either empty or singly occupied. Where there are in addition strong nearest–neighbour repulsions, a tetrahedron rule comes into effect, as previously sugg...

Anomalous Dimension and Local Charges

AdS space is the universal covering of a hyperboloid. We consider the action of the deck transformations on a classical string worldsheet in AdS5 × S. We argue that these transformations are generated by an infinite linear combination of the local conserved charges. We conjecture that a similar relation holds for the corresponding operators on the field theory side. This would be a generalizati...

Fabry-Perot interferometry with fractional charges.

Resistance oscillations in electronic Fabry-Perot interferometers near fractional quantum Hall (FQH) filling factors 1/3, 2/3, 4/3, and 5/3 in the constrictions are compared to those near integer quantum Hall (IQH) filling factors in the same devices and at the same gate voltages. Two-dimensional plots of resistance versus gate voltage and magnetic field indicate that all oscillations are Coulo...

Fuzzy Local Fractional Differential Equations

Ecological Restoration, Global Challenges, Social Aspects and Environmental Benefits

This book consists of 14 chapters covering important aspects in regards to various terrestrial ecosystems, wetlands, river systems, mine site rehabilitation, marsh ecology and heavy metals pollution. Also aims to fill some of the information gaps in ecological restoration, particularly in under-researched ecosystems around the world. Restoration ecology emerged as a separate field in ecology in...