Green´s function simulation of quantum structures including magnetic field

Practical simulation of quantum structures requires considerable development of numerical tools and physical models, in order to approach the level of functionality of established methodologies for classical devices. We have realized a general procedure for multidimensional nonequilibrium Green´s functions (NEGF) simulation, coupled to a variety of Schrodinger and Poisson solvers for different applications. Here, we describe the extensions of the model to include the effect of magnetic field and extend the simulation to multiterminal structures. We outline a procedure for the proper evaluation of the self-energy in all open terminals by using a suitable gauge transformation which is required by the nonhermitian Hamiltonian. We apply the method to the simulation of structures used for quantum-Hall effect which provide a well-tested benchmark for theoretical models and simulations including the magnetic field.