Andersen Group | El.-Phon. | QMC | C60 | Resistivity saturation |
Alkali-doped fullerenes |
Alkali-doped C60 compounds,
AnC60
(A= K, Rb), are characterized by an unusual parameter range, which leads
to interesting properties and a challenging test of theoretical methods.
Furthermore, many A3C60
compounds are superconductors, with a critical temperature
T
Important parameters for fullerides are the effective Coulomb repulsion U between two electrons on the same molecule, the one-electron band width W of the partly occupied t1u band, the maximum phonon frequency wph, the Jahn-Teller energy EJT and the exchange integral K. Typical estimates of these parameters are
U | 1.0-1.5 eV |
W | 0.6 eV |
wph | 0.2 eV |
EJT | 0.1 eV |
K | 0.1 eV |
This leads to interesting questions:
1. Since U>W, one might have expected all
AnC60
compounds to be insulators, while experimentally
A3C60
are metals and
A4C60
are insulators.
2. Migdal's theorem plays an important role in the theory of conventional
superconductors. Since, however, wph is similar
to W, it is questionable if this theorem is valid for the fullerides.
3. The superconductivity is driven by the electron-phonon interaction,
which induces an attractive interaction of the order 0.1 eV. At the
same time there is a repulsive Coulomb repulsion U of the order
1 to 1.5 eV. In conventional superconductors this repulsion is believed
to be drastically reduced by retardation effects, due to the vastly
different energy scales of the electrons and phonons. Here
wph and W are comparable, which raises basic
questions about why superconductivity is at all possible.
4. For large temperatures the resistivity becomes very large and the
corresponding mean free path much shorter than the separation
between two molecules. This raises interesting questions
about the interpretation and whether such a result is even possible.
The unusual resistivity is related to the small band width.
5. There is an interesting competition between the Jahn-Teller effect,
the Hund's rule coupling, the kinetic and the Coulomb energies.
Since these issues emphasize the many-body nature of the problem and since AnC60 is very complicated, our work is mainly based on model calculations. For this purpose we have constructed appropriate models and determined the corresponding parameters from ab initio calculations or experiments. The models are solved by using Quantum Monte-Carlo (T=0 projection and finite T determinantal) methods, dynamical mean-field theory or exact diagonalization techniques.
Properties of A3C60
have been discussed extensively in the book "Alkali-doped Fullerides.
Narrow-band solids with unusual properties"
(
World Scientific, Singapore, 2004. XVII, 282 p., hardcover. ISBN 981-238-667-X
). Also available at
Amazon.
Superconductivity properties have been reviewed in "Superconductivity in Fullerides" ( Rev. Mod. Phys. 69, 575 (1997)).
A list of some relevant publications is given.
For further information contact Olle Gunnarsson (o.gunnarsson@fkf.mpg.de) or Erik Koch (E.Koch@fz-juelich.de).
Last Update: October 2010
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