The European Physical Journal B

, Volume 64, Issue 1, pp 1–18

Phase diagram of the Holstein polaron in one dimension


DOI: 10.1140/epjb/e2008-00280-0

Cite this article as:
Barišić, O.S. & Barišić, S. Eur. Phys. J. B (2008) 64: 1. doi:10.1140/epjb/e2008-00280-0


The behavior of the 1D Holstein polaron is described, with emphasis on lattice coarsening effects, by distinguishing between adiabatic and nonadiabatic contributions to the local correlations and dispersion properties. The original and unifying systematization of the crossovers between the different polaron behaviors, usually considered in the literature, is obtained in terms of quantum to classical, weak coupling to strong coupling, adiabatic to nonadiabatic, itinerant to self-trapped polarons and large to small polarons. It is argued that the relationship between various aspects of polaron states can be specified by five regimes: the weak-coupling regime, the regime of large adiabatic polarons, the regime of small adiabatic polarons, the regime of small nonadiabatic (Lang-Firsov) polarons, and the transitory regime of small pinned polarons for which the adiabatic and nonadiabatic contributions are inextricably mixed in the polaron dispersion properties. The crossovers between these five regimes are positioned in the parameter space of the Holstein Hamiltonian.


71.38.-k Polarons and electron-phonon interactions 71.38.Fp Large or Frohlich polarons 71.38.Ht Self-trapped or small polarons 

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© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institute of PhysicsZagrebCroatia
  2. 2.Department of Physics, Faculty of ScienceUniversity of ZagrebZagrebCroatia