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Bound states in the continuum driven by AC fields C.González-Santander, P.A.Orellana, F.Domínguez-Adame. 2013. Bound states in the continuum driven by AC fields. EPL, 102, 17012. DOI: 10.1209/0295-5075/102/17012
by C.González-Santander, P.A.Orellana and F.Domínguez-Adame
We report on the formation of bound states in the continuum driven by AC fields. The considered system consists of a quantum ring connected to two leads. An AC side-gate voltage controls the interference of electrons passing through the system. We model the system by two sites in parallel connected to two semi-infinite lattices. The energy of these sites changes harmonically with time. We obtain the transmission probability and the local density of states at the ring sites and show that transmission probability displays a Fano profile when the energy of the incoming electron approaches the driving frequency. Correspondingly, the local density of states presents a narrow peak that approaches a δ-function in the weak-coupling limit. We attribute these features to the presence of bound states in the continuum.
Interaction of a point charge with the surface of a uniaxial dielectricPrimož Rebernik Ribič and Rudolf Podgornik. 2013. Interaction of a point charge with the surface of a uniaxial dielectric. EPL, 102, 24001. DOI: 10.1209/0295-5075/102/24001
by Primož Rebernik Ribič and Rudolf Podgornik
We analyze the force on a point charge moving at relativistic speeds parallel to the surface of a uniaxial dielectric. Two cases are examined: a lossless dielectric with no dispersion and a dielectric with a plasma-type response. The treatment focuses on the peculiarities of the strength and direction of the interaction force as compared to the isotropic case. We show that a plasma-type dielectric can, under specific conditions, repel the point charge.
Node-weighted interacting network measures improve the representation of real-world complex systems M.Wiedermann, J.F.Donges, J.Heitzig and J.Kurths. 2013. Node-weighted interacting network measures improve the representation of real-world complex systems . EPL, 102, 28007. DOI: 10.1209/0295-5075/102/28007
by M.Wiedermann, J.F.Donges, J.Heitzig and J.Kurths
Many real-world complex systems are adequately represented by networks of interacting or interdependent networks. Additionally, it is often reasonable to take into account node weights such as surface area in climate networks, volume in brain networks, or economic capacity in trade networks to reflect the varying size or importance of subsystems. Combining both ideas, we derive a novel class of statistical measures for analysing the structure of networks of interacting networks with heterogeneous node weights. Using a prototypical spatial network model, we show that the newly introduced node-weighted interacting network measures provide an improved representation of the underlying system’s properties as compared to their unweighted analogues. We apply our method to study the complex network structure of cross-boundary trade between European Union [EU] and non-EU countries finding that it provides relevant information on trade balance and economic robustness.
