An Approximate Framework for Quantum Transport Calculation with Model   Order Reduction
  A new approximate computational framework is proposed for computing the non-equilibrium charge density in the context of the non-equilibrium Green's function (NEGF) method for quantum mechanical transport problems. The framework consists of a new formulation, called the X-formulation, for single-energy density calculation based on the solution of sparse linear systems, and a projection-based nonlinear model order reduction (MOR) approach to address the large number of energy points required for large applied biases. The advantages of the new methods are confirmed by numerical experiments. 
Quan Chen and Jun Li and Chiyung Yam and Yu Zhang and Ngai Wong and   Guanhua Chen
physics.comp-ph