Melih Sener and Klaus Schulten.
A general random matrix approach to account for the effect of static
disorder on the spectral properties of light harvesting systems.
Physical Review E, 65:031916, 2002.
(12 pages).
SENE2002
We develop a random matrix model approach to study
static disorder in pigment-protein complexes in
photosynthetic organisms. As a case study, we
examine the ring of B850 bacteriochlorophylls in the
peripheral light-harvesting complex of Rhodospirillum
molischianum, formulated in terms of an effective
Hamiltonian describing the collective electronic
excitations of the system. We numerically examine and
compare various models of disorder and observe that
both the density of states and the absorption spectrum
of the model show remarkable spectral universality. For
the case of unitary disorder, we develop a method to
analytically evaluate the density of states of the
ensemble using the supersymmetric formulation of
random matrix theory. Succinct
formulas that can be readily applied in future studies
are provided in an appendix.
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