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LQTL is a private, collaborative, physics laboratory
We have solid professional experience in modeling Molecular Electronic devices that proceed from our work on electron transport phenomena in 2DEG semiconductor heterostructures, and in theory of Wannier-Stark Quantization which occurs in solids subjected to homogeneous electric field. The discovery of graphene motivated our line of inquiry about graphene electronic properties, see articles listed in Graphene. Now, our research effort is focused on the theoretical explanation of Hall experiments.
Year 1879, Edwin Hall carried out series of experiments on conductors where current flowing in one direction is under the influence of perpendicular magnetic field. The voltages applied across the conductor (Hall voltage), along the conductor, and magnetic field were measured simultaneously. Such experiments give the value of a product n·e (n is charge-carrier density, e is electron charge). There is no theory, which is relevant to Hall experiments. Thus, there is no way to compare experimental values of n·e measured in the Hall regime with theoretical predictions, which are equally valid at macro, micro, and nano scales. Obviously, the Wannier-Stark Quantization is of direct relevance to Hall-type experiments. Presently, the theory is elaborated for atomic chains of arbitrary length. Extensions of Wannier-Stark quantization theory to the case of two-dimensional atomic lattices are required in several aspects. These are subjects of our ongoing and subsequent research projects.
