@article{oai:kitami-it.repo.nii.ac.jp:00008197,
 author = {Hirayama, Koichi and Taniguchi, Yoshihide and Hayashi, Yoshio and Koshiba, Masanori},
 issue = {7},
 journal = {Microelectronics Journal},
 month = {2016-11-22},
 note = {The finite element formulation based on the Galerkin method is proposed for the analysis of the transmission characteristics of quantum wires in a magnetic field. This formulation holds the gauge invariance when the complex conjugate of the wave function is chosen as the test function. Also, it is implied in the formulation that the sum of the outgoing current from a discontinuity region equals the incident current into the region. Moreover, the potential is discretized using the shape function in the quadratic line and triangular elements of the finite element method. If the potential is defined as a quadratic function of the coordinates, it can be exactly described in this discretization, and hence this formulation is very suitable for the analysis of realistic quantum wires, whose potential is often expressed with quadratic functions of the coordinates and similar ones. Some discontinuity problems of quantum wires are analyzed and the validity of our approach is shown in comparison with the results of other analysis methods.},
 pages = {569--577},
 title = {Finite element analysis of the transmission characteristics of quantum wires in a magnetic field},
 volume = {32},
 year = {}
}