Einstein relation in carbon nanotubes and quantum wires of nonlinear optical and optoelectronic materials

摘要

We study the Einstein relation for the diffu-sivity-to-mobility ratio (DMR) in carbon nanotubes (CNTs) and quantum wires (QWs) of nonlinear optical and optoelectronic materials. The respective DMR in QWs exhibits increasing quantum steps with increasing electron statistics. In CNTs, the DMR exhibits periodic oscillations with increasing carrier degeneracy and the nature is radically different as compared with the corresponding DMR of QWs since they emphasize the different signatures of the two entirely different one dimensional nanostructured systems. In addition, we have suggested an experimental method of determining the DMR for CNTs and QWs having arbitrary dispersion laws.