Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$

Details Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$ Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$

1993-12-09

arxiv.org/abs/cond-mat/9312041v1

Phys. Rev. B 53 (1996) 1641-1655

Physics

Condensed Matter

Materials Science

19 pages, RevTex, 6 figures upon request

Scientific paper

10.1103/PhysRevB.53.1641

The recursion and path-integral methods are applied to analytically study the electronic structure of a neutral $C_{60}$ molecule. We employ a tight-binding Hamiltonian which considers both the $s$ and $p$ valence electrons of carbon. From the recursion method, we obtain closed-form {\it analytic} expressions for the $\pi$ and $\sigma$ eigenvalues and eigenfunctions, including the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) states, and the Green's functions. We also present the local densities of states around several ring clusters, which can be probed experimentally by using, for instance, a scanning tunneling microscope. {}From a path-integral method, identical results for the energy spectrum are also derived. In addition, the local density of states on one carbon atom is obtained; from this we can derive the degree of degeneracy of the energy levels.

Affiliated with

Also associated with

No associations

Rating

Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursion and Path-Integral Approaches to the Analytic Study of the Electronic Properties of $C_{60}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231655