Newly synthesized nanostructures of graphene appear as a promising breeding ground for new technology. Therefore, it is important to identify the role played by boundary conditions in their electronic features. In this contribution we use non-equilibrium Green's function method coupled tight-binding theory calculate and compare current patterns hexagonal quantum dots, with contacts placed at di...

A new theorem on random walks suggest some possible revisions of the foundations of Quantum Mechanics. This is presented below in the simplified framework of the description of the evolution of a material point in space. Grossly speaking, it is shown that the probabilities generated by normalizing the square modulus of a sum of probability amplitudes, in the setup of Quantum Mechanics, becomes ...

We investigate Aharonov-Bohm oscillations of the electrical current through a strongly correlated quantum dot embedded in an arbitrary scattering geometry in the linear and nonlinear regime. We also study the temperature and ux dependence of the thermopower S and nd that it changes sign with temperature. At the temperature where S(T0) = 0, the thermal properties are strongly ux dependent as com...

In these lectures I review, in as much pedagogical way as possible, various theoretical ideas and motivation for violation of CPT invariance in some models of Quantum Gravity, and discuss the relevant phenomenology. Since the subject is vast, I pay particular emphasis on the CPT Violating decoherence scenario for quantum gravity, due to space-time foam. In my opinion this seems to be the most l...

We study electrical transport at quantum critical points (QCPs) associated with loop current ordering in a metal, focusing specifically on models of the “Hertz-Millis” type. At infrared (IR) fixed point and absence disorder, simplest such have infinite DC conductivity zero incoherent nonzero frequencies. However, we find that particular deformation, involving N <mml:math xmlns:mml="http://www.w...