Atom capture by nanotube and scaling anomaly

Details Atom capture by nanotube and scaling anomaly Atom capture by nanotube and scaling anomaly

2007-06-20

arxiv.org/abs/0706.2945v2

Int.J.Theor.Phys.47:1776-1783,2008

Physics

Condensed Matter

Materials Science

Accepted in Int.J.Theor.Phys

Scientific paper

10.1007/s10773-007-9620-y

The existence of bound state of the polarizable neutral atom in the inverse square potential created by the electric field of 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 bound state. Binding of the polarizable atoms in the coupling constant interval \eta^2\in[0,1) may be responsible for the smearing of the edge of steps in quantized conductance, which has not been considered so far in literature.

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