Polaron band formation in the Holstein model

15 August 1997

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 56 (8) , 4513-4517
https://doi.org/10.1103/physrevb.56.4513

Abstract

We present numerical exact results for the polaronic band structure of the Holstein molecular crystal model in one and two dimensions. The use of a direct Lanczos diagonalization technique, preserving the full dynamics and quantum nature of phonons, allows us to analyze in detail the renormalization of both quasiparticle bandwidth and dispersion by the electron-phonon interaction. For the two-dimensional case some of our exact data are compared with the results obtained in the framework of a recently developed finite-cluster strong-coupling perturbation theory.

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This publication has 16 references indexed in Scilit:

Pairing in the Holstein model in the dilute limit
Physica C: Superconductivity and its Applications, 1995
High Temperature Superconductors And Other Superfluids
Published by Taylor & Francis ,1994
The spectral function of a one-dimensional Holstein polaron
Physics Letters A, 1993
Two-site polaron problem: Electronic and vibrational properties
Physical Review B, 1992
SQUEEZING PHENOMENA IN INTERACTING ELECTRON-PHONON SYSTEMS
International Journal of Modern Physics B, 1990
Many-Particle Physics
Published by Springer Nature ,1990
Numerical calculation of path integrals: The small-polaron model
Physical Review B, 1983
On the existence of free and self-trapped carriers in insulators: an abrupt temperature-dependent conductivity transition
Advances in Physics, 1973
Studies of polaron motion
Annals of Physics, 1959
Electrons in lattice fields
Advances in Physics, 1954