ON THE SUMATORY FUNCTION ASSOCIATED TO THE SMARANDACHE FUNCTION

It is sald that for every numerical function f it can be attached the sumatory function

SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY SMARANDACHE'S FUNCTION

In this paper we continue the algebraic consideration begun earlier. As it was sun, two of the proprieties of Smarandache's function are hold

Some Considerations Concerning the Sumatory Function Associated to Smarandache Function

Giving an algorithm to calculate the sumatory function, associated to the Smarandache function

Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors

We compute the intrinsic contributions to the Berry-phase mediated anomalous Hall and Nernst effects in electron- and hole-doped semiconductors in the presence of an in-plane magnetic field as well as Rashba and Dresselhaus spin orbit couplings. For both systems we find that the regime of chemical potential which supports the topological superconducting state in the presence of superconducting proximity effect can be characterized by plateaus in the topological Hall and Nernst coefficients flanked by well-defined peaks marking the emergence of the topological regime. The plateaus arise from a clear momentum space separation between the region where the Berry curvature is peaked (at the `near-band-degeneracy' points) and the region where the single (or odd number of) Fermi surface lies in the Brillouin zone. The plateau for the Nernst coefficient is at vanishing magnitudes surrounded by two peaks of opposite signs as a function of the chemical potential. These results could be useful for experimentally deducing the chemical potential regime suitable for realizing topological states in the presence of proximity effect.Comment: 8 pages, 8 figure

Hole-doped semiconductor nanowire on top of an s-wave superconductor: A new and experimentally accessible system for Majorana fermions

Majorana fermions were envisioned by E. Majorana in 1935 to describe neutrinos. Recently it has been shown that they can be realized even in a class of electron-doped semiconductors, on which ordinary s-wave superconductivity is proximity induced, provided the time reversal symmetry is broken by an external Zeeman field above a threshold. Here we show that in a hole-doped semiconductor nanowire the threshold Zeeman field for Majorana fermions can be very small for some magic values of the hole density. In contrast to the electron-doped systems, smaller Zeeman fields and much stronger spin-orbit coupling and effective mass of holes allow the hole-doped systems to support Majorana fermions in a parameter regime which is routinely realized in current experiments.Comment: 5 pages, 3 figures, accepted for publication in Phys. Rev. Let

Burden-Sharing and Accommodation of Migrants in the EU - a Simulation Based on Factorial Designs

In recent years, migration to European countries has intensified like never before, raising issues regarding cooperation in order to manage the situation. The aim of this paper is to simulate the implications for the cooperation between countries using the Vickrey-Clarke-Groves (VCG) mechanism and statistical analysis. In the simulation, we identify the consequences of various decisions of the countries involved in accommodating migrants. We conclude that the types of migrants and partners willing to cooperate can influence on the groups accommodated first, and that the decision to cooperate can influence on the political situation and budgets of receiving countries

Nonverbal Communication in Politics: A Review of Research Developments, 2005-2015

This article reviews research contributions in political science and communication to the topic of nonverbal communication and politics from 2005 to 2015. The review opens with research on the content of nonverbal communication, then considers studies examining what moderates the impact of nonverbal aspects of political messages on attitudes and behavior and the mechanisms that underpin these effects. Over the period reviewed here, research shows that the nonverbal channel is rich in political information and is consequential for political decision making, particularly under certain circumstances, such as in low-information conditions. Visuals affect political decisions through cognitive and emotional routes. This review article also identifies several directions where further research is required, particularly with regard to social media, nonvisual aspects of nonverbal communication, the interplay of visual and verbal arguments, and the mechanisms behind the effects of nonverbal communication