167 research outputs found
Quantum fluctuations of polarons on molecules
The dynamic Jahn-Teller splitting of the six equivalent polarons due
to quantum fluctuations is studied in the framework of the Bogoliubov-de Gennes
formalism. The tunneling induced level splittings are determined to be and for and
, respectively, which should give rise to observable effects in
experiments.Comment: REVTEX 3.0, 13 pages, to be published in Phys. Rev.
Valence-bond states in dynamical Jahn-Teller molecular systems
We discuss a hopping model of electrons between idealized molecular sites
with local orbital degeneracy and dynamical Jahn-Teller effect, for crystal
field environments of sufficiently high symmetry. For the Mott-insulating case
(one electron per site and large Coulomb repulsions), in the simplest two-fold
degenerate situation, we are led to consider a particular exchange hamiltonian,
describing two isotropic spin-1/2 Heisenberg problems coupled by a quartic term
on equivalent bonds. This twin-exchange hamiltonian applies to a physical
regime in which the inter-orbital singlet is the lowest-energy intermediate
state available for hopping. This regime is favored by a relatively strong
electron-phonon coupling. Using variational arguments, a large-N limit, and
exact diagonalization data, we find that the ground state, in the one
dimensional case, is a solid valence bond state. The situation in the two
dimensional case is less clear. Finally, the behavior of the system upon hole
doping is studied in one dimension.Comment: 11 pages, 5 figure
Electron--Vibron Interactions and Berry Phases in Charged Buckminsterfullerene: Part I
A simple model for electron-vibron interactions on charged
buckminsterfullerene C, , is solved both at weak and
strong couplings. We consider a single vibrational multiplet interacting
with electrons. At strong coupling the semiclassical dynamical
Jahn-Teller theory is valid. The Jahn-Teller distortions are unimodal for
=1,2,4,5 electrons, and bimodal for 3 electrons. The distortions are
quantized as rigid body pseudo--rotators which are subject to geometrical Berry
phases. These impose ground state degeneracies and dramatically change zero
point energies. Exact diagonalization shows that the semiclassical level
degeneracies and ordering survive well into the weak coupling regime. At weak
coupling, we discover an enhancement factor of for the pair binding
energies over their classical values. This has potentially important
implications for superconductivity in fullerides, and demonstrates the
shortcoming of Migdal--Eliashberg theory for molecular crystals.Comment: 29 pages (+7 figures, 3 available upon request), LATEX,
report-number: BM515
Surprises in the Orbital Magnetic Moment and g-Factor of the Dynamic Jahn-Teller Ion C_{60}^-
We calculate the magnetic susceptibility and g-factor of the isolated
C_{60}^- ion at zero temperature, with a proper treatment of the dynamical
Jahn-Teller effect, and of the associated orbital angular momentum, Ham-reduced
gyromagnetic ratio, and molecular spin-orbit coupling. A number of surprises
emerge. First, the predicted molecular spin-orbit splitting is two orders of
magnitude smaller than in the bare carbon atom, due to the large radius of
curvature of the molecule. Second, this reduced spin-orbit splitting is
comparable to Zeeman energies, for instance, in X-band EPR at 3.39KGauss, and a
field dependence of the g-factor is predicted. Third, the orbital gyromagnetic
factor is strongly reduced by vibron coupling, and so therefore are the
effective weak-field g-factors of all low-lying states. In particular, the
ground-state doublet of C_{60}^- is predicted to show a negative g-factor of
\sim -0.1.Comment: 19 pages RevTex, 2 postscript figures include
Revealing low-dose radiation damage using single-crystal spectroscopy
Data on the rapid reduction of haem proteins in the X-ray beam at synchrotron sources are presented. The use of single-crystal spectroscopy to detect these changes and their implication for diffraction data collection from oxidized species is also discussed
Form and Instability: Eastern Europe, Literature, Postimperial Difference. By Anita Starosta. Evanston: Northwestern University Press, 2016. Flashpoints Series. x, 221 pp. Notes. Bibliography. Index. Illustrations. $34.95, paper.
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