Many-body effects on tunneling of electrons in magnetic-field-induced quasi one-dimensional systems in quantum wells

We investigate effects of the electron-electron interaction on the transmission probability of electrons through a tunnel junction in a quantum well in a magnetic quantum limit. We consider the system with which bulk states and edge states coexist. First we consider interaction effects in bulk states. We show that the treatment of the electron-electron interaction is very important. Next we investigate contributions of edge states on many-body effects in bulk states. Those contributions can be neglected within the approximation in consideration of only most divergent terms at low temperature.