Einstein relation in carbon nanotubes and quantum wires of nonlinear optical, optoelectronic and related materials: simplified theory, relative comparison and suggestion for an experimental determination

Author

Bhattacharya, Sitangshu ; De, B. Debashis ; Ghatak, C. Kamakhya Prasad

Author_Institution

St. Xavier´´s College, Kolkata

fYear

2007

fDate

16-20 Dec. 2007

Firstpage

901

Lastpage

904

Abstract

We study the Einstein relation for the diffusivity-to-mobility ratio (DMR) in carbon nanotubes (CNTs) and quantum wires (QWs) of non-linear 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.

Keywords

carbon nanotubes; diffusion; nonlinear optics; optical materials; quantum wires; 1D nanostructured systems; Einstein relation; arbitrary dispersion laws; carbon nanotubes; carrier degeneracy; diffusivity-to-mobility ratio; electron statistics; nonlinear optical material; optoelectronic material; periodic oscillations; quantum wires; Carbon nanotubes; Computer science; Electrons; Nanoelectronics; Nanoscale devices; Nonlinear optics; Optical materials; Organic materials; Relativistic quantum mechanics; Wires; Carbon nanotubes; Einstein relation; experimental determination; quantum wires;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics of Semiconductor Devices, 2007. IWPSD 2007. International Workshop on

Conference_Location

Mumbai

Print_ISBN

978-1-4244-1728-5

Electronic_ISBN

978-1-4244-1728-5

Type

conf

DOI

10.1109/IWPSD.2007.4472668

Filename

4472668