Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals

We show that in a weak external magnetic field H the quasi-particle residue and the renormalized electron Lande factor of two-dimensional Fermi liquids exhibit a non-analytic magnetic field dependence proportional to |H| which is due to electron-electron interactions. We explicitly calculate the corresponding prefactors to second order in the interaction and show that they are determined by low-energy scattering processes involving only momenta close to the Fermi surface. Experimentally, these non-analytic terms can be detected from measurements of the magnetic field dependence of the density of states and the magnetoconductivity.Comment: 11 pages, 5 figure

Co-simulation of Continuous Systems: A Tutorial

Co-simulation consists of the theory and techniques to enable global simulation of a coupled system via the composition of simulators. Despite the large number of applications and growing interest in the challenges, the field remains fragmented into multiple application domains, with limited sharing of knowledge. This tutorial aims at introducing co-simulation of continuous systems, targeted at researchers new to the field

Palladium Catalyzed Allylic C-H Alkylation:A Mechanistic Perspective

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Commercialized Security and Its Role in Selected Countries’ National Security

The complexity of the contemporary world has dictated the commercial security to supplement the supply of security in states. This is for the varied security needs of the citizens to be fulfilled. Hence this study embarked to illustrate the various roles of commercialized security in the national security of selected countries: the USA, Britain, Australia, Israel, South Africa, DRC, Tanzania, Uganda, and Kenya. The study has shown that the scope of commercialized security has expanded, thereby taking up some roles that require and some that do not require to be carried out by the state security agencies. This is partly due to its embracing of technology and enormous numbers of personnel than the state security agencies. But realistically, the state will not be losing its monopoly of violence, but distributing it to the commercialized security through a network of governance and partnership. This trend will continue and will be of direct benefit to the state’s ability to influence its security. Based on the findings, the study recommends effective regularization of commercial security as well as collaboration between state security agents