NanoelectronicsSpintronicsMethodology- Hamiltonian- Transport- Technique Methodology그림 추가 예정(성철그림)⊙HamiltonianA. DFT재현이형B. Tight Binding(TB)용수형C. k·p Method상천D. Effective Mass준범⊙TransportA. Non-Equilibrium Green's Function(NEGF)성철이B. Wigner이준호박사님C. Boltzmann이준호박사님D. Drift-Diffusion준범⊙TechniqueA. Reduced Based Transformation(RBT)우진B. Finite Element Method(FEM) The finite element method (FEM) is a numerical technique for finding approximate solutions to equilibrium or boundary value problems, eigenvalue problems, propagation or initial value problems for partial differential equations. Difference of FEM with other numerical methodology (especially Finite differential method, FDM) is subdividing a domain into elements. Element can become any shape and size. So it is possible to fill boundary with elements in spite of strange shape of boundary.This process needs mesh generation. There are many open source mesh generator and they operates like this image.Generally, triangle (2D) or tetrahedron (3D) shape is used for subdividing domain.  FEM is nowadays widely used by these properties. And finite element method include variational formulation. Galerkin method is widely used out of the others because it is most common. [ref. wikipedia "FEM"]2. Quantum Transport SimulationQuantum transport simulation is performed to obtain I-V characteristics (or mobility sometimes) of target device. For quantum transport simulation, first of all, Hamiltonian should be constructed. In our laboratory, Hamiltonian is   obtained by using atomistic level approaches. By using the Hamiltonian, band structure of channel material can also be obtained. Current and charge density are obtained by self-consistently solving non-equilibrium Green function (NEGF) and Poisson equation. We develop quantum simulator employing flow above. We also analyze device characteristics by using simulation results. 