Phase diagram of ferrimagnetic ladders with bond-alternation

We study the phase diagram of a 2-leg bond-alternation spin-(1/2, 1) ladder for two different configurations using a quantum renormalization group approach. Although d-dimensional ferrimagnets show gapless behavior, we will explicitly show that the effect of the spin mixing and the bond-alternation can open the possibility for observing an energy gap. We show that the gapless phases of such systems can be equivalent to the 1-dimensional half-integer antiferroamgnets, besides the gapless ferrimagnetic phases. We therefore propose a phase transition between these two gapless phases that can be seen in the parameter space.Comment: 5 pages and 3 ps figures, accepted in Phys. Rev.

Unintegrated generalised parton distributions

We show how the generalised (or skewed) parton distributions of the proton, H(x, xi; k_t^2, mu^2), unintegrated over the partonic transverse momenta, can be calculated from the known conventional parton distributions, q(x, mu^2) and g(x, mu^2), for small values of the skewedness parameter xi. We demonstrate the procedure by numerically evaluating the skewed unintegrated gluon. We also provide a simple approximate phenomenological form of the distribution, which may be used to make more rapid predictions of observables.Comment: 9 pages including 2 figure

A bilayer Double Semion Model with Symmetry-Enriched Topological Order

We construct a new model of two-dimensional quantum spin systems that combines intrinsic topo- logical orders and a global symmetry called flavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched topological order. A honeycomb bi- layer lattice is introduced to combine a Double Semion Topolgical Order with a global spin-flavour symmetry to get the fractionalization of its quasiparticles. The bDS model exhibits non-trival braid- ing self-statistics of excitations and its dual model constitutes a Symmetry-Protected Topological Order with novel edge states. This dual model gives rise to a bilayer Non-Trivial Paramagnet that is invariant under the flavour symmetry and the well-known spin flip symmetry.Comment: revtex4 file, color figure

Vortex of the Web. Potentials of the online environment

This volume compiles international contributions that explore the potential risks and chances coming along with the wide-scale migration of society into digital space. Suggesting a shift of paradigm from Spiral of Silence to Nexus of Noise, the opening chapter provides an overview on systematic approaches and mechanisms of manipulation – ranging from populist political players to Cambridge Analytica. After a discussion of the the juxtaposition effects of social media use on social environments, the efficient instrumentalization of Twitter by Turkish politicans in the course of the US-decision to recognize Jerusalem as Israel’s capital is being analyzed. Following a case study of Instagram, Black Lives Matter and racism is a research about the impact of online pornography on the academic performance of university students. Another chapter is pointing out the potential of online tools for the successful relaunch of shadow brands. The closing section of the book deals with the role of social media on the opinion formation about the Euromaidan movement during the Ukrainian revolution and offers a comparative study touching on Russian and Western depictions of political documentaries in the 2000s