Delocalization of Wannier-Stark ladders by phonons: tunneling and stretched polarons

Details Delocalization of Wannier-Stark ladders by phonons: tunneling and stretched polarons Delocalization of Wannier-Stark ladders by phonons: tunneling and stretched polarons

2002-07-08

arxiv.org/abs/cond-mat/0207220v1

Europhysics letters, 58 (2002)

Physics

Condensed Matter

7 pages, 4 figures

Scientific paper

10.1209/epl/i2002-00453-y

We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become delocalized if a resonance condition develops between the original Wannier-Stark states and the phonon modes, yielding both tunneling and `stretched' polarons. The unusual stretched polarons are characterized by a phonon cloud that {\em trails} the electron, instead of accompanying it. In general, our novel approach allows us to show that the polaron spectrum has a complex nearly-fractal structure, due to the coherent coupling between states in the Cayley tree which describes the relevant Hilbert space. The eigenstates of a finite ladder are analyzed in terms of the observable tunneling and optical properties of the system.

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