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

  • Debashis De
  • Kamakhya Prasad Ghatak


We study the Einstein relation for the diffusivity-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.


Quantum Confinement Einstein Relation Bulk Specimen Nonlinear Optical Material Crystal Field Splitting 
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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringWest Bengal University of TechnologySalt Lake City, KolkataIndia
  2. 2.Department of Electronic ScienceThe University of CalcuttaKolkataIndia

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