A semi-exact study of self-trapping transition in a one-dimensional Holstein-Hubbard model

The nature of self-trapping transition in the one-dimensional extended Holstein-Hubbard model is investigated for both adiabatic and anti-adiabatic regimes. The coherence and correlations of the phonons are incorporated accurately by applying a sequence of unitary transformations and a fully-general...

Full description

Saved in:
Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2022-12, Vol.646, p.414357, Article 414357
Main Authors: Debnath, Debika, Bhattacharyya, Kuntal, Chatterjee, Ashok
Format: Article
Language:English
Subjects:
Bethe-ansatz method
Holstein-Hubbard model
Self-trapping transition
Squeezed coherent state of phonons
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The nature of self-trapping transition in the one-dimensional extended Holstein-Hubbard model is investigated for both adiabatic and anti-adiabatic regimes. The coherence and correlations of the phonons are incorporated accurately by applying a sequence of unitary transformations and a fully-generalized many-phonon wave function is chosen as the averaging phonon state to obtain an effective electronic problem. The renormalized electronic problem is subsequently treated exactly using the method of Bethe ansatz and the self-trapping transition is shown to be continuous over the entire range of the material parameters.
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2022.414357