Competition/Enhancement of Two Probe Order Parameters in the Unbalanced Holographic Superconductor

We introduce and study a simple unbalanced holographic superconductor model with two scalar order parameters. The attention is focused on the possibility of coexisting orderings corresponding to the concomitant condensation of two scalar operators. Through a probe analysis we show that an attractive or repulsive direct interaction between the two bulk scalars leads respectively to competition and enhancement of the associated condensates. The system at hand is a toy model for studying generic multiple ordering in a strongly coupled context and some comments are given about its applicability to the ferromagnetic unconventional superconductors.Comment: 17 pages, 8 figure

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy

The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed. The integration of the congruence curves is discussed. Local motions defined by the traveling wave cnoidal solutions of the fifth-order Kaup-Kupershmidt equation are described

Minimal Model for an Unbalanced Holographic Superconductor

We describe the simplest holographic model for an s-wave unbalanced superconductor in 2+1 dimensions. We study its phase diagram and linear response features with particular attention to the possibility of spatially modulated phases (LOFF) and mixed spin-electric properties. The normal phase of the model at hand allows us to analyze a strong-coupling generalization of Mott two-current model for spintronic systems; the superconducting phase features an interesting DC spin-superconductivity without spin-symmetry breaking .Comment: 14 pages, 12 figures, Proceedings of the Corfu Summer Institute 2012 "School and Workshops on Elementary Particle Physics and Gravity", September 8-27, 2012, Corfu, Greec

Simplest phonons and pseudo-phonons in field theory

We study the emergence of Nambu-Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices.Comment: 25 pages, 1 figure; (v3 extended analysis, typo fixed

Innovation in Marketing Channels

In more recent years, the context of globalization in which market channel structures and strategies are developing is bringing to a more complex concept of marketing channels, with disintermediation or reintermediation, multichanneling and new roles/specializations that are emerging as new issues.In this context, innovation in marketing channels becomes a complex, multiorganizational, multidisciplinary activity that requires collaboration and interactions across various entities within the supply chain network. In recent years, the innovation processes in marketing channels have occurred with high intensity and speed, especially following the changes spurred by technology that allowed the adoption of more efficient organizational solutions.Retail; Channel Structure; Innovation in Marketing Channels; Retail Technological Innovation; Global Markets