Exploration of The Duality Between Generalized Geometry and Extraordinary Magnetoresistance

We outline the duality between the extraordinary magnetoresistance (EMR), observed in semiconductor-metal hybrids, and non-symmetric gravity coupled to a diffusive $U(1)$ gauge field. The corresponding gravity theory may be interpreted as the generalized complex geometry of the semi-direct product of the symmetric metric and the antisymmetric Kalb-Ramond field: ($g_{\mu\nu}+\beta_{\mu\nu}$). We construct the four dimensional covariant field theory and compute the resulting equations of motion. The equations encode the most general form of EMR within a well defined variational principle, for specific lower dimensional embedded geometric scenarios. Our formalism also reveals the emergence of additional diffusive pseudo currents for a completely dynamic field theory of EMR. The proposed equations of motion now include terms that induce geometrical deformations in the device geometry in order to optimize the EMR. This bottom-up dual description between EMR and generalized geometry/gravity lends itself to a deeper insight into the EMR effect with the promise of potentially new physical phenomena and properties.Comment: 13 pages and 6 figures. Revised/edited for clarity and purpose. Several references added. Updated title based on suggestions and comments received. Version accepted for publication in Phys.Rev.

Children With Autism Spectrum Disorder at a Pediatric Hospital: A Systematic Review of the Literature

This review of literature describes the behaviors of hospitalized children with autism spectrum disorder (ASD) that health care providers find challenging. It also identifies strategies used to address these challenging behaviors. The systematic review of literature identified 34 articles from databases on health care of challenging behaviors of children with ASD. The review identified four categories of challenging behaviors (non-compliance, hyperactivity, sensory defensiveness, self-injury) and several strategies for reducing these behaviors. Partnering with parents to develop strategies is important for children with ASD to deliver timely and safe care