Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations

C Baesens, RS MacKay - Nonlinearity, 1994 - iopscience.iop.org
Nonlinearity, 1994iopscience.iop.org
We simplify the proofs and extend the scope of the main theorems of Aubry, Abramovici and
Raimbault on existence of polaronic and bipolaronic states near the anti-integrable limit for
the adiabatic Holstein model of electron-phonon systems and generalizations. In particular,
we obtain sharper estimates and allow exponential lattices, arbitrary square-integrable
electron hopping, and some amounts of inhomogeneity and dispersion.
Abstract
We simplify the proofs and extend the scope of the main theorems of Aubry, Abramovici and Raimbault on existence of polaronic and bipolaronic states near the anti-integrable limit for the adiabatic Holstein model of electron-phonon systems and generalizations. In particular, we obtain sharper estimates and allow exponential lattices, arbitrary square-integrable electron hopping, and some amounts of inhomogeneity and dispersion.
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