Magnetoconductance of a stadium-shaped quantum dot: A finite-element-method approach

Abstract
We studied ballistic transport of electrons through quantum structures in a magnetic field. A numerical scheme based on the finite-element method for solving the two-dimensional single-electron Schrödinger equation has been extended to the case with a magnetic field. The method is applicable to transmission calculations of two-dimensional quantum structures of arbitrary geometry and any number of leads. We have applied this method to study the magnetoconductance of a stadium-shaped quantum structure.