Page 388 - Fiber Fracture
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370                                                        J. Bernholc et al.























              Fig. 11. Time evolution  of  the  (17,O)  tube with  an  addimer under  7.5% strain at  3000 K,  illustrating the
              spontaneous winding of  the defect about the tube:  (a) initial  configuration consisting of  a  single turn; (b)
              final configuration  corresponding to about 3 turns after 1 ns.

                The  winding  of  the  defect  about  the  nanotube  suggests that  the  combination  of
              addimers plus  strain  in  the  5-10%  range  may  be  a  natural  way  to  produce  differ-
              ent  electronic  heterojunctions, thereby  leading  to  the  formation  of  different  carbon
              nanotube-based quantum dots. To test this idea, we constructed various addimer-based
              defect structures at different strains and annealed at temperatures in the 2500-3000  K
              range,  with the  following results.  Structures on  the  (10,lO) armchair tubes were not
              observed to be  stable. Competing bond rotations (e.g., bond rotations away from the
              defect, or bonds  on  the  heptagons) lead to the  degradation of  the  structure within a
              few  nanoseconds. It  therefore  seems  quite  unlikely  that  good  quantum  dots  can  be
              made with the help of addimers from the (10,lO) and/or  other armchair tubes. Much
              more promising results were obtained for the (17,O) zigzag tube. Fig. 11 shows sample
              configurations of  such a tube consisting of  682 atoms, annealed at 3000 K  and 7.5%
              strain. As is evident, there is no sign of any competing ductile behavior that would lead
              to the degradation of  the  structure. Rather, hexagons are added in  a uniform fashion
              about the circumference of the tube, ultimately leading to the formation of two to three
              different windings of an (8,8) tube over the period of a nanosecond. This suggests that
              with the addition of addimers to strained zigzag tubes one can selectively induce ductile
              behavior on  tubes  that  are otherwise brittle,  and  thus  form  clean  interfaces between
              tubes of different helicities.
                To characterize the electronic properties of the induced (17,0)/(8,8)/( 17,O) structure
              we  have  calculated  the  local  density  of  states  (LDOS)  using  a  recursion  method
              (Haydock et al.,  1975) within a tight-binding description of the carbon n bonds. Only
              nearest-neighbor interactions were considered. Depending on  the  length of  the  (8,8)
              segment, a  clear  emergence of  a  quantum  dot  structure was  observed, with  orbitals
              becoming localized in the (8,8) segment and falling inside the fundamental energy gap
              of the (17,O) tube (Chico et al., 1998; Orlikowski et a]., 1999).
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