Transfer-Matrix Formalism for 2D Quantum Transport in Long-Range Inhomogeneous Magnetic Fields

抄録

A transfer-matrix method is found to be an efficient numerical technique to study quantum transport of two-dimensional (2D) electron systems subject to long-range inhomogeneous magnetic fields. In contrast to conventional transfer-matrix techniques for 2D transport, the method developed in this paper does not require any diagonalization procedure. It is, therefore, possible to calculate the conductance and the current distribution within the same order of a computing time with that of a one-dimensional transfer-matrix calculation. Applying this method to several 2D electron systems in inhomogeneous magnetic fields, we demonstrate the efficiency of this method.