Numerical local-potential-averaging method for quantum mechanical simulations

An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing

“…In our previous work, we showed that the deterioration of numerical accuracy caused by the large sampling interval can be minimized by the local potential averaging (LPA) method, 29 which uses instead of Eq. (8)…”

Nonuniform Mesh Application to Discrete Wigner Transport Equation

“…The eigenstate analysis method using the time-independent Schro ¨dinger equation and the quantum transport simulation method using the Wigner transport equation (WTE) 1) based on the Wigner distribution function (WDF) have been used widely for the precise analysis of nanosize structure and device characteristics. The latter, which is often considered as a quantum mechanical analogy of the classical Boltzmann equation, has attracted many researchers' attention in the last two decades [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] because it can deal with devices having open boundaries. Recently, the author has formulated a new discrete WTE 17) in which a mutually independent discretization scheme for the diagonal and cross-diagonal coordinates of the density operator can be employed and has showed that the new discretization scheme results in a numerically highly effective discrete WTE that requires much less computational resources without a significant loss in accuracy.…”