The anti-integrable limit of the Holstein model with a nonlinear phonon Hamiltonian: Localization properties

Roberto Roncaglia, George P. Tsironis

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We have studied the dynamical properties of the Holstein model with a nonlinear phonon Hamiltonian. Using the translational invariance of the system we eliminate from the Hamiltonian the electronic degrees of freedom. The resulting Hamiltonian describes a displaced phonon variable coupled to a lattice of boson variables by means of an exchange term proportional to the electronic hopping integral. We show that in the anti-integrable limit, corresponding to small electronic hopping integral, the nonlinearity of the lattice potential has the effect of quenching the tunneling motion of the electron through the lattice. The possibility of localized excitations in the system is discussed.

Original languageEnglish
Pages (from-to)318-325
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume113
Issue number2-4
Publication statusPublished - 1998
Externally publishedYes

Fingerprint

Hamiltonians
Phonon
Electronics
electronics
Bosons
Quenching
Invariance
invariance
Eliminate
bosons
degrees of freedom
Excitation
Degree of freedom
Directly proportional
quenching
nonlinearity
Model
Nonlinearity
Electron
Motion

Keywords

  • Electron-phonon interaction
  • Quantum breathers

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

The anti-integrable limit of the Holstein model with a nonlinear phonon Hamiltonian : Localization properties. / Roncaglia, Roberto; Tsironis, George P.

In: Physica D: Nonlinear Phenomena, Vol. 113, No. 2-4, 1998, p. 318-325.

Research output: Contribution to journalArticle

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