Time evolution of nanoscale systems by finite difference method

Autor: Nakhaee, Mohammad, Ketabi, S Ahmad, Pakbaz, M Taher, Keshtan, M Ali M, Rahmati, Elham, Abdous, Zahra
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: Using finite difference method, time evolution of a typical metal molecule metal system is studied by introducing a new method to solve general related Volterra integro differential equation (IDE). Discretization in time domain is applied for one dimentional chain tight binding model in several cases by defining a matrix integro-differential equation (MIDE). Results are compatible with their analytical counterparts and show more accuracy than other numerical methods like Runge Kutta (RK). Charge transport properties in a trans polyacetylene chain are found by studying the time evolution of charge density in it and current voltage diagram is calculated.
Databáze: arXiv