The anti-integrable limit of the Holstein model with a nonlinear phonon Hamiltonian: Localization properties
✍ Scribed by Roberto Roncaglia; George P. Tsironis
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 673 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
✦ Synopsis
We have studied the dynamical properties ofthe Holstein model with a nonlinearphonon
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.