Circuit type Simulations of the Quantum Electron Transport

The quantum nature of electrons is one important aspect of nano structures research. In order to move on from basic research towards a realization of quantum devices, a much better understanding of quantum electron transport is required. In addition, flexible tools for modelling of realistically shaped device structures are needed. The so- called quantum Hall effect is a very prominent example, where some of the major aspects of quantum physics in electron transport are involved. Hence, some of the major aspects of quantum electron transport can be studies on a very fundamental level in the context with the quantum Hall effect. The importance of this effect for basic physics is evident from the fact, that two Nobel prices have been awarded for research in this field. But still there are controversial discussions about various aspects of this effect, which further more underlines the importance of research in this field. We have successfully developed a model for quantum electron transport in the quantum Hall effect regime on the basis of a network approach. This model is the first and presently the only one in the world, which is able to simulate realistically shaped sample structures in almost perfect agreement with the experimental data. On the one hand we see our model as a new tool for addressing still unresolved questions of quantum Hall physics; on the other hand we see the big potential for applying our model also to other related research fields concerning current transport, including the classical transport regime. Since in quantum devices both, quantum electron transport and classical current transport will be important, we see the chance that our approach might provide a basis for an all-in-one model for device simulation.

The quantum nature of electrons is one important aspect of nano structures research. In order to move on from basic research towards a realization of quantum devices, a much better understanding of quantum electron transport is required. In addition, flexible tools for modelling of realistically shaped device structures are needed. The so- called quantum Hall effect is a very prominent example, where some of the major aspects of quantum physics in electron transport are involved. Hence, some of the major aspects of quantum electron transport can be studies on a very fundamental level in the context with the quantum Hall effect. The importance of this effect for basic physics is evident from the fact, that two Nobel prices have been awarded for research in this field. But still there are controversial discussions about various aspects of this effect, which further more underlines the importance of research in this field. We have successfully developed a model for quantum electron transport in the quantum Hall effect regime on the basis of a network approach. This model is the first and presently the only one in the world, which is able to simulate realistically shaped sample structures in almost perfect agreement with the experimental data. On the one hand we see our model as a new tool for addressing still unresolved questions of quantum Hall physics; on the other hand we see the big potential for applying our model also to other related research fields concerning current transport, including the classical transport regime. Since in quantum devices both, quantum electron transport and classical current transport will be important, we see the chance that our approach might provide a basis for an all-in-one model for device simulation.