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Exact ground state properties of polarons in the limit of large dimensions

✍ Scribed by S. Ciuchi; F. De Pasquale; D. Feinberg

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
180 KB
Volume
235-240
Category
Article
ISSN
0921-4534

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✦ Synopsis

The spectral function of a single electron coupled to Einstein phonons (Holstein model) is calculated exactly in the limit of large space dimensionality, for any coupling strength and phonon frequency. A self-consistent mapping onto an effective impurity model leads to the solution in terms of a continued fraction expansion for the electron Green function at zero temperature, depending strongly on the shape of the lattice density of states (Ioren~ian, gaussian or semi-circular). It is also shown that the small polaron states are long-lived only at low energies.

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