International Journal of Theoretical Physics

, Volume 47, Issue 6, pp 1776-1783

First online:

Atom Capture by Nanotube and Scaling Anomaly

  • Pulak Ranjan GiriAffiliated withTheory Division, Saha Institute of Nuclear Physics Email author 

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The existence of bound state of the polarizable neutral atom in the inverse square potential created by the electric field of a single walled charged carbon nanotube (SWNT) is shown to be theoretically possible. The consideration of inequivalent boundary conditions due to self-adjoint extensions lead to this nontrivial bound state solution. It is also shown that the scaling anomaly is responsible for the existence of such bound state. Binding of the polarizable atoms in the coupling constant interval η 2∈[0,1) may be responsible for the smearing of the edge of steps in quantized conductance, which has not been considered so far in the literature.


Atom bound state Self-adjoint extensions Scaling anomaly